Project acronym 2-3-AUT
Project Surfaces, 3-manifolds and automorphism groups
Researcher (PI) Nathalie Wahl
Host Institution (HI) KOBENHAVNS UNIVERSITET
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary The scientific goal of the proposal is to answer central questions related to diffeomorphism groups of manifolds of dimension 2 and 3, and to their deformation invariant analogs, the mapping class groups. While the classification of surfaces has been known for more than a century, their automorphism groups have yet to be fully understood. Even less is known about diffeomorphisms of 3-manifolds despite much interest, and the objects here have only been classified recently, by the breakthrough work of Perelman on the Poincar\'e and geometrization conjectures. In dimension 2, I will focus on the relationship between mapping class groups and topological conformal field theories, with applications to Hochschild homology. In dimension 3, I propose to compute the stable homology of classifying spaces of diffeomorphism groups and mapping class groups, as well as study the homotopy type of the space of diffeomorphisms. I propose moreover to establish homological stability theorems in the wider context of automorphism groups and more general families of groups. The project combines breakthrough methods from homotopy theory with methods from differential and geometric topology. The research team will consist of 3 PhD students, and 4 postdocs, which I will lead.
Summary
The scientific goal of the proposal is to answer central questions related to diffeomorphism groups of manifolds of dimension 2 and 3, and to their deformation invariant analogs, the mapping class groups. While the classification of surfaces has been known for more than a century, their automorphism groups have yet to be fully understood. Even less is known about diffeomorphisms of 3-manifolds despite much interest, and the objects here have only been classified recently, by the breakthrough work of Perelman on the Poincar\'e and geometrization conjectures. In dimension 2, I will focus on the relationship between mapping class groups and topological conformal field theories, with applications to Hochschild homology. In dimension 3, I propose to compute the stable homology of classifying spaces of diffeomorphism groups and mapping class groups, as well as study the homotopy type of the space of diffeomorphisms. I propose moreover to establish homological stability theorems in the wider context of automorphism groups and more general families of groups. The project combines breakthrough methods from homotopy theory with methods from differential and geometric topology. The research team will consist of 3 PhD students, and 4 postdocs, which I will lead.
Max ERC Funding
724 992 €
Duration
Start date: 2009-11-01, End date: 2014-10-31
Project acronym 2D-4-CO2
Project DESIGNING 2D NANOSHEETS FOR CO2 REDUCTION AND INTEGRATION INTO vdW HETEROSTRUCTURES FOR ARTIFICIAL PHOTOSYNTHESIS
Researcher (PI) Damien VOIRY
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary CO2 reduction reaction (CO2RR) holds great promise for conversion of the green-house gas carbon dioxide into chemical fuels. The absence of catalytic materials demonstrating high performance and high selectivity currently hampers practical demonstration. CO2RR is also limited by the low solubility of CO2 in the electrolyte solution and therefore electrocatalytic reactions in gas phase using gas diffusion electrodes would be preferred. 2D materials have recently emerged as a novel class of electrocatalytic materials thanks to their rich structures and electronic properties. The synthesis of novel 2D catalysts and their implementation into photocatalytic systems would be a major step towards the development of devices for storing solar energy in the form of chemical fuels. With 2D-4-CO2, I propose to: 1) develop novel class of CO2RR catalysts based on conducting 2D nanosheets and 2) demonstrate photocatalytic conversion of CO2 into chemical fuels using structure engineered gas diffusion electrodes made of 2D conducting catalysts. To reach this goal, the first objective of 2D-4-CO2 is to provide guidelines for the development of novel cutting-edge 2D catalysts towards CO2 conversion into chemical fuel. This will be possible by using a multidisciplinary approach based on 2D materials engineering, advanced methods of characterization and novel designs of gas diffusion electrodes for the reduction of CO2 in gas phase. The second objective is to develop practical photocatalytic systems using van der Waals (vdW) heterostructures for the efficient conversion of CO2 into chemical fuels. vdW heterostructures will consist in rational designs of 2D materials and 2D-like materials deposited by atomic layer deposition in order to achieve highly efficient light conversion and prolonged stability. This project will not only enable a deeper understanding of the CO2RR but it will also provide practical strategies for large-scale application of CO2RR for solar fuel production.
Summary
CO2 reduction reaction (CO2RR) holds great promise for conversion of the green-house gas carbon dioxide into chemical fuels. The absence of catalytic materials demonstrating high performance and high selectivity currently hampers practical demonstration. CO2RR is also limited by the low solubility of CO2 in the electrolyte solution and therefore electrocatalytic reactions in gas phase using gas diffusion electrodes would be preferred. 2D materials have recently emerged as a novel class of electrocatalytic materials thanks to their rich structures and electronic properties. The synthesis of novel 2D catalysts and their implementation into photocatalytic systems would be a major step towards the development of devices for storing solar energy in the form of chemical fuels. With 2D-4-CO2, I propose to: 1) develop novel class of CO2RR catalysts based on conducting 2D nanosheets and 2) demonstrate photocatalytic conversion of CO2 into chemical fuels using structure engineered gas diffusion electrodes made of 2D conducting catalysts. To reach this goal, the first objective of 2D-4-CO2 is to provide guidelines for the development of novel cutting-edge 2D catalysts towards CO2 conversion into chemical fuel. This will be possible by using a multidisciplinary approach based on 2D materials engineering, advanced methods of characterization and novel designs of gas diffusion electrodes for the reduction of CO2 in gas phase. The second objective is to develop practical photocatalytic systems using van der Waals (vdW) heterostructures for the efficient conversion of CO2 into chemical fuels. vdW heterostructures will consist in rational designs of 2D materials and 2D-like materials deposited by atomic layer deposition in order to achieve highly efficient light conversion and prolonged stability. This project will not only enable a deeper understanding of the CO2RR but it will also provide practical strategies for large-scale application of CO2RR for solar fuel production.
Max ERC Funding
1 499 931 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym 3D-FABRIC
Project 3D Flow Analysis in Bijels Reconfigured for Interfacial Catalysis
Researcher (PI) Martin F. HAASE
Host Institution (HI) UNIVERSITEIT UTRECHT
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary The objective of this proposal is to determine the unknown criteria for convective cross-flow in bicontinuous interfacially jammed emulsion gels (bijels). Based on this, we will answer the question: Can continuously operated interfacial catalysis be realized in bijel cross-flow reactors? Demonstrating this potential will introduce a broadly applicable chemical technology, replacing wasteful chemical processes that require organic solvents. We will achieve our objective in three steps:
(a) Control over bijel structure and properties. Bijels will be formed with a selection of functional inorganic colloidal particles. Nanoparticle surface modifications will be developed and extensively characterized. General principles for the parameters determining bijel structures and properties will be established based on confocal and electron microscopy characterization. These principles will enable unprecedented control over bijel formation and will allow for designing desired properties.
(b) Convective flow in bijels. The mechanical strength of bijels will be tailored and measured. With mechanically robust bijels, the influence of size and organization of oil/water channels on convective mass transfer in bijels will be investigated. To this end, a bijel mass transfer apparatus fabricated by 3d-printing of bijel fibers and soft photolithography will be introduced. In conjunction with the following objective, the analysis of convective flows in bijels will facilitate a thorough description of their structure/function relationships.
(c) Biphasic chemical reactions in STrIPS bijel cross-flow reactors. First, continuous extraction in bijels will be realized. Next, conditions to carry out continuously-operated, phase transfer catalysis of well-known model reactions in bijels will be determined. Both processes will be characterized in-situ and in 3-dimensions by confocal microscopy of fluorescent phase transfer reactions in transparent bijels.
Summary
The objective of this proposal is to determine the unknown criteria for convective cross-flow in bicontinuous interfacially jammed emulsion gels (bijels). Based on this, we will answer the question: Can continuously operated interfacial catalysis be realized in bijel cross-flow reactors? Demonstrating this potential will introduce a broadly applicable chemical technology, replacing wasteful chemical processes that require organic solvents. We will achieve our objective in three steps:
(a) Control over bijel structure and properties. Bijels will be formed with a selection of functional inorganic colloidal particles. Nanoparticle surface modifications will be developed and extensively characterized. General principles for the parameters determining bijel structures and properties will be established based on confocal and electron microscopy characterization. These principles will enable unprecedented control over bijel formation and will allow for designing desired properties.
(b) Convective flow in bijels. The mechanical strength of bijels will be tailored and measured. With mechanically robust bijels, the influence of size and organization of oil/water channels on convective mass transfer in bijels will be investigated. To this end, a bijel mass transfer apparatus fabricated by 3d-printing of bijel fibers and soft photolithography will be introduced. In conjunction with the following objective, the analysis of convective flows in bijels will facilitate a thorough description of their structure/function relationships.
(c) Biphasic chemical reactions in STrIPS bijel cross-flow reactors. First, continuous extraction in bijels will be realized. Next, conditions to carry out continuously-operated, phase transfer catalysis of well-known model reactions in bijels will be determined. Both processes will be characterized in-situ and in 3-dimensions by confocal microscopy of fluorescent phase transfer reactions in transparent bijels.
Max ERC Funding
1 905 000 €
Duration
Start date: 2019-06-01, End date: 2024-05-31
Project acronym ADAPTIVES
Project Algorithmic Development and Analysis of Pioneer Techniques for Imaging with waVES
Researcher (PI) Chrysoula Tsogka
Host Institution (HI) IDRYMA TECHNOLOGIAS KAI EREVNAS
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary The proposed work concerns the theoretical and numerical development of robust and adaptive methodologies for broadband imaging in clutter. The word clutter expresses our uncertainty on the wave speed of the propagation medium. Our results are expected to have a strong impact in a wide range of applications, including underwater acoustics, exploration geophysics and ultrasound non-destructive testing. Our machinery is coherent interferometry (CINT), a state-of-the-art statistically stable imaging methodology, highly suitable for the development of imaging methods in clutter. We aim to extend CINT along two complementary directions: novel types of applications, and further mathematical and numerical development so as to assess and extend its range of applicability. CINT is designed for imaging with partially coherent array data recorded in richly scattering media. It uses statistical smoothing techniques to obtain results that are independent of the clutter realization. Quantifying the amount of smoothing needed is difficult, especially when there is no a priori knowledge about the propagation medium. We intend to address this question by coupling the imaging process with the estimation of the medium's large scale features. Our algorithms rely on the residual coherence in the data. When the coherent signal is too weak, the CINT results are unsatisfactory. We propose two ways for enhancing the resolution of CINT: filter the data prior to imaging (noise reduction) and waveform design (optimize the source distribution). Finally, we propose to extend the applicability of our imaging-in-clutter methodologies by investigating the possibility of utilizing ambient noise sources to perform passive sensor imaging, as well as by studying the imaging problem in random waveguides.
Summary
The proposed work concerns the theoretical and numerical development of robust and adaptive methodologies for broadband imaging in clutter. The word clutter expresses our uncertainty on the wave speed of the propagation medium. Our results are expected to have a strong impact in a wide range of applications, including underwater acoustics, exploration geophysics and ultrasound non-destructive testing. Our machinery is coherent interferometry (CINT), a state-of-the-art statistically stable imaging methodology, highly suitable for the development of imaging methods in clutter. We aim to extend CINT along two complementary directions: novel types of applications, and further mathematical and numerical development so as to assess and extend its range of applicability. CINT is designed for imaging with partially coherent array data recorded in richly scattering media. It uses statistical smoothing techniques to obtain results that are independent of the clutter realization. Quantifying the amount of smoothing needed is difficult, especially when there is no a priori knowledge about the propagation medium. We intend to address this question by coupling the imaging process with the estimation of the medium's large scale features. Our algorithms rely on the residual coherence in the data. When the coherent signal is too weak, the CINT results are unsatisfactory. We propose two ways for enhancing the resolution of CINT: filter the data prior to imaging (noise reduction) and waveform design (optimize the source distribution). Finally, we propose to extend the applicability of our imaging-in-clutter methodologies by investigating the possibility of utilizing ambient noise sources to perform passive sensor imaging, as well as by studying the imaging problem in random waveguides.
Max ERC Funding
690 000 €
Duration
Start date: 2010-06-01, End date: 2015-11-30
Project acronym AEROBIC
Project Assessing the Effects of Rising O2 on Biogeochemical Cycles: Integrated Laboratory Experiments and Numerical Simulations
Researcher (PI) Itay Halevy
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary The rise of atmospheric O2 ~2,500 million years ago is one of the most profound transitions in Earth's history. Yet, despite its central role in shaping Earth's surface environment, the cause for the rise of O2 remains poorly understood. Tight coupling between the O2 cycle and the biogeochemical cycles of redox-active elements, such as C, Fe and S, implies radical changes in these cycles before, during and after the rise of O2. These changes, too, are incompletely understood, but have left valuable information encoded in the geological record. This information has been qualitatively interpreted, leaving many aspects of the rise of O2, including its causes and constraints on ocean chemistry before and after it, topics of ongoing research and debate. Here, I outline a research program to address this fundamental question in geochemical Earth systems evolution. The inherently interdisciplinary program uniquely integrates laboratory experiments, numerical models, geological observations, and geochemical analyses. Laboratory experiments and geological observations will constrain unknown parameters of the early biogeochemical cycles, and, in combination with field studies, will validate and refine the use of paleoenvironmental proxies. The insight gained will be used to develop detailed models of the coupled biogeochemical cycles, which will themselves be used to quantitatively understand the events surrounding the rise of O2, and to illuminate the dynamics of elemental cycles in the early oceans.
This program is expected to yield novel, quantitative insight into these important events in Earth history and to have a major impact on our understanding of early ocean chemistry and the rise of O2. An ERC Starting Grant will enable me to use the excellent experimental and computational facilities at my disposal, to access the outstanding human resource at the Weizmann Institute of Science, and to address one of the major open questions in modern geochemistry.
Summary
The rise of atmospheric O2 ~2,500 million years ago is one of the most profound transitions in Earth's history. Yet, despite its central role in shaping Earth's surface environment, the cause for the rise of O2 remains poorly understood. Tight coupling between the O2 cycle and the biogeochemical cycles of redox-active elements, such as C, Fe and S, implies radical changes in these cycles before, during and after the rise of O2. These changes, too, are incompletely understood, but have left valuable information encoded in the geological record. This information has been qualitatively interpreted, leaving many aspects of the rise of O2, including its causes and constraints on ocean chemistry before and after it, topics of ongoing research and debate. Here, I outline a research program to address this fundamental question in geochemical Earth systems evolution. The inherently interdisciplinary program uniquely integrates laboratory experiments, numerical models, geological observations, and geochemical analyses. Laboratory experiments and geological observations will constrain unknown parameters of the early biogeochemical cycles, and, in combination with field studies, will validate and refine the use of paleoenvironmental proxies. The insight gained will be used to develop detailed models of the coupled biogeochemical cycles, which will themselves be used to quantitatively understand the events surrounding the rise of O2, and to illuminate the dynamics of elemental cycles in the early oceans.
This program is expected to yield novel, quantitative insight into these important events in Earth history and to have a major impact on our understanding of early ocean chemistry and the rise of O2. An ERC Starting Grant will enable me to use the excellent experimental and computational facilities at my disposal, to access the outstanding human resource at the Weizmann Institute of Science, and to address one of the major open questions in modern geochemistry.
Max ERC Funding
1 472 690 €
Duration
Start date: 2013-09-01, End date: 2018-08-31
Project acronym AFFINITY
Project Actuation of Ferromagnetic Fibre Networks to improve Implant Longevity
Researcher (PI) Athina Markaki
Host Institution (HI) THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Call Details Starting Grant (StG), PE8, ERC-2009-StG
Summary This proposal is for an exploratory study into a radical new approach to the problem of orthopaedic implant loosening. Such loosening commonly occurs because the joint between the implant and the surrounding bone is insufficiently strong and durable. It is a serious problem both for implants cemented to the bone and for those dependent on bone in-growth into a rough/porous implant surface. In the latter case, the main problem is commonly that bone in-growth is insufficiently rapid or deep for a strong bond to be established. The idea proposed in this work is that the implant should have a highly porous surface layer, made by bonding ferromagnetic fibres together, into which bone tissue growth would occur. During the post-operative period, application of a magnetic field will cause the fibre network to deform elastically, as individual fibres tend to align with the field. This will impose strains on the bone tissue as it grows into the fibre network. Such mechanical deformation is known to be highly beneficial in promoting bone growth, providing the associated strain lies in a certain range (~0.1%). Preliminary work, involving both model development and experimental studies on the effect of magnetic fields on fibre networks, has suggested that beneficial therapeutic effects can be induced using field strengths no greater than those already employed for diagnostic purposes. A comprehensive 5-year, highly inter-disciplinary programme is planned, encompassing processing, network architecture characterisation, magneto-mechanical response investigations, various modelling activities and systematic in vitro experimentation to establish whether magneto-mechanical Actuation of Ferromagnetic Fibre Networks shows promise as a new therapeutic approach to improve implant longevity.
Summary
This proposal is for an exploratory study into a radical new approach to the problem of orthopaedic implant loosening. Such loosening commonly occurs because the joint between the implant and the surrounding bone is insufficiently strong and durable. It is a serious problem both for implants cemented to the bone and for those dependent on bone in-growth into a rough/porous implant surface. In the latter case, the main problem is commonly that bone in-growth is insufficiently rapid or deep for a strong bond to be established. The idea proposed in this work is that the implant should have a highly porous surface layer, made by bonding ferromagnetic fibres together, into which bone tissue growth would occur. During the post-operative period, application of a magnetic field will cause the fibre network to deform elastically, as individual fibres tend to align with the field. This will impose strains on the bone tissue as it grows into the fibre network. Such mechanical deformation is known to be highly beneficial in promoting bone growth, providing the associated strain lies in a certain range (~0.1%). Preliminary work, involving both model development and experimental studies on the effect of magnetic fields on fibre networks, has suggested that beneficial therapeutic effects can be induced using field strengths no greater than those already employed for diagnostic purposes. A comprehensive 5-year, highly inter-disciplinary programme is planned, encompassing processing, network architecture characterisation, magneto-mechanical response investigations, various modelling activities and systematic in vitro experimentation to establish whether magneto-mechanical Actuation of Ferromagnetic Fibre Networks shows promise as a new therapeutic approach to improve implant longevity.
Max ERC Funding
1 442 756 €
Duration
Start date: 2010-01-01, End date: 2015-11-30
Project acronym AFRIVAL
Project African river basins: catchment-scale carbon fluxes and transformations
Researcher (PI) Steven Bouillon
Host Institution (HI) KATHOLIEKE UNIVERSITEIT LEUVEN
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary This proposal wishes to fundamentally improve our understanding of the role of tropical freshwater ecosystems in carbon (C) cycling on the catchment scale. It uses an unprecedented combination of state-of-the-art proxies such as stable isotope, 14C and biomarker signatures to characterize organic matter, radiogenic isotope signatures to determine particle residence times, as well as field measurements of relevant biogeochemical processes. We focus on tropical systems since there is a striking lack of data on such systems, even though riverine C transport is thought to be disproportionately high in tropical areas. Furthermore, the presence of landscape-scale contrasts in vegetation (in particular, C3 vs. C4 plants) are an important asset in the use of stable isotopes as natural tracers of C cycling processes on this scale. Freshwater ecosystems are an important component in the global C cycle, and the primary link between terrestrial and marine ecosystems. Recent estimates indicate that ~2 Pg C y-1 (Pg=Petagram) enter freshwater systems, i.e., about twice the estimated global terrestrial C sink. More than half of this is thought to be remineralized before it reaches the coastal zone, and for the Amazon basin this has even been suggested to be ~90% of the lateral C inputs. The question how general these patterns are is a matter of debate, and assessing the mechanisms determining the degree of processing versus transport of organic carbon in lakes and river systems is critical to further constrain their role in the global C cycle. This proposal provides an interdisciplinary approach to describe and quantify catchment-scale C transport and cycling in tropical river basins. Besides conceptual and methodological advances, and a significant expansion of our dataset on C processes in such systems, new data gathered in this project are likely to provide exciting and novel hypotheses on the functioning of freshwater systems and their linkage to the terrestrial C budget.
Summary
This proposal wishes to fundamentally improve our understanding of the role of tropical freshwater ecosystems in carbon (C) cycling on the catchment scale. It uses an unprecedented combination of state-of-the-art proxies such as stable isotope, 14C and biomarker signatures to characterize organic matter, radiogenic isotope signatures to determine particle residence times, as well as field measurements of relevant biogeochemical processes. We focus on tropical systems since there is a striking lack of data on such systems, even though riverine C transport is thought to be disproportionately high in tropical areas. Furthermore, the presence of landscape-scale contrasts in vegetation (in particular, C3 vs. C4 plants) are an important asset in the use of stable isotopes as natural tracers of C cycling processes on this scale. Freshwater ecosystems are an important component in the global C cycle, and the primary link between terrestrial and marine ecosystems. Recent estimates indicate that ~2 Pg C y-1 (Pg=Petagram) enter freshwater systems, i.e., about twice the estimated global terrestrial C sink. More than half of this is thought to be remineralized before it reaches the coastal zone, and for the Amazon basin this has even been suggested to be ~90% of the lateral C inputs. The question how general these patterns are is a matter of debate, and assessing the mechanisms determining the degree of processing versus transport of organic carbon in lakes and river systems is critical to further constrain their role in the global C cycle. This proposal provides an interdisciplinary approach to describe and quantify catchment-scale C transport and cycling in tropical river basins. Besides conceptual and methodological advances, and a significant expansion of our dataset on C processes in such systems, new data gathered in this project are likely to provide exciting and novel hypotheses on the functioning of freshwater systems and their linkage to the terrestrial C budget.
Max ERC Funding
1 745 262 €
Duration
Start date: 2009-10-01, End date: 2014-09-30
Project acronym AQSER
Project Automorphic q-series and their application
Researcher (PI) Kathrin Bringmann
Host Institution (HI) UNIVERSITAET ZU KOELN
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary This proposal aims to unravel mysteries at the frontier of number theory and other areas of mathematics and physics. The main focus will be to understand and exploit “modularity” of q-hypergeometric series. “Modular forms are functions on the complex plane that are inordinately symmetric.” (Mazur) The motivation comes from the wide-reaching applications of modularity in combinatorics, percolation, Lie theory, and physics (black holes).
The interplay between automorphic forms, q-series, and other areas of mathematics and physics is often two-sided. On the one hand, the other areas provide interesting examples of automorphic objects and predict their behavior. Sometimes these even motivate new classes of automorphic objects which have not been previously studied. On the other hand, knowing that certain generating functions are modular gives one access to deep theoretical tools to prove results in other areas. “Mathematics is a language, and we need that language to understand the physics of our universe.”(Ooguri) Understanding this interplay has attracted attention of researchers from a variety of areas. However, proofs of modularity of q-hypergeometric series currently fall far short of a comprehensive theory to describe the interplay between them and automorphic forms. A recent conjecture of W. Nahm relates the modularity of such series to K-theory. In this proposal I aim to fill this gap and provide a better understanding of this interplay by building a general structural framework enveloping these q-series. For this I will employ new kinds of automorphic objects and embed the functions of interest into bigger families
A successful outcome of the proposed research will open further horizons and also answer open questions, even those in other areas which were not addressed in this proposal; for example the new theory could be applied to better understand Donaldson invariants.
Summary
This proposal aims to unravel mysteries at the frontier of number theory and other areas of mathematics and physics. The main focus will be to understand and exploit “modularity” of q-hypergeometric series. “Modular forms are functions on the complex plane that are inordinately symmetric.” (Mazur) The motivation comes from the wide-reaching applications of modularity in combinatorics, percolation, Lie theory, and physics (black holes).
The interplay between automorphic forms, q-series, and other areas of mathematics and physics is often two-sided. On the one hand, the other areas provide interesting examples of automorphic objects and predict their behavior. Sometimes these even motivate new classes of automorphic objects which have not been previously studied. On the other hand, knowing that certain generating functions are modular gives one access to deep theoretical tools to prove results in other areas. “Mathematics is a language, and we need that language to understand the physics of our universe.”(Ooguri) Understanding this interplay has attracted attention of researchers from a variety of areas. However, proofs of modularity of q-hypergeometric series currently fall far short of a comprehensive theory to describe the interplay between them and automorphic forms. A recent conjecture of W. Nahm relates the modularity of such series to K-theory. In this proposal I aim to fill this gap and provide a better understanding of this interplay by building a general structural framework enveloping these q-series. For this I will employ new kinds of automorphic objects and embed the functions of interest into bigger families
A successful outcome of the proposed research will open further horizons and also answer open questions, even those in other areas which were not addressed in this proposal; for example the new theory could be applied to better understand Donaldson invariants.
Max ERC Funding
1 240 500 €
Duration
Start date: 2014-01-01, End date: 2019-04-30
Project acronym ARCHEIS
Project Understanding the onset and impact of Aquatic Resource Consumption in Human Evolution using novel Isotopic tracerS
Researcher (PI) Klervia Marie Madalen JAOUEN
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary The onset of the systematic consumption of marine resources is thought to mark a turning point for the hominin lineage. To date, this onset cannot be traced, since classic isotope markers are not preserved beyond 50 - 100 ky. Aquatic food products are essential in human nutrition as the main source of polyunsaturated fatty acids in hunter-gatherer diets. The exploitation of marine resources is also thought to have reduced human mobility and enhanced social and technological complexification. Systematic aquatic food consumption could well have been a distinctive feature of Homo sapiens species among his fellow hominins, and has been linked to the astonishing leap in human intelligence and conscience. Yet, this hypothesis is challenged by the existence of mollusk and marine mammal bone remains at Neanderthal archeological sites. Recent work demonstrated the sensitivity of Zn isotope composition in bioapatite, the mineral part of bones and teeth, to dietary Zn. By combining classic (C and C/N isotope analyses) and innovative techniques (compound specific C/N and bulk Zn isotope analyses), I will develop a suite of sensitive tracers for shellfish, fish and marine mammal consumption. Shellfish consumption will be investigated by comparing various South American and European prehistoric populations from the Atlantic coast associated to shell-midden and fish-mounds. Marine mammal consumption will be traced using an Inuit population of Arctic Canada and the Wairau Bar population of New Zealand. C/N/Zn isotope compositions of various aquatic products will also be assessed, as well as isotope fractionation during intestinal absorption. I will then use the fully calibrated isotope tools to detect and characterize the onset of marine food exploitation in human history, which will answer the question of its specificity to our species. Neanderthal, early modern humans and possibly other hominin remains from coastal and inland sites will be compared in that purpose.
Summary
The onset of the systematic consumption of marine resources is thought to mark a turning point for the hominin lineage. To date, this onset cannot be traced, since classic isotope markers are not preserved beyond 50 - 100 ky. Aquatic food products are essential in human nutrition as the main source of polyunsaturated fatty acids in hunter-gatherer diets. The exploitation of marine resources is also thought to have reduced human mobility and enhanced social and technological complexification. Systematic aquatic food consumption could well have been a distinctive feature of Homo sapiens species among his fellow hominins, and has been linked to the astonishing leap in human intelligence and conscience. Yet, this hypothesis is challenged by the existence of mollusk and marine mammal bone remains at Neanderthal archeological sites. Recent work demonstrated the sensitivity of Zn isotope composition in bioapatite, the mineral part of bones and teeth, to dietary Zn. By combining classic (C and C/N isotope analyses) and innovative techniques (compound specific C/N and bulk Zn isotope analyses), I will develop a suite of sensitive tracers for shellfish, fish and marine mammal consumption. Shellfish consumption will be investigated by comparing various South American and European prehistoric populations from the Atlantic coast associated to shell-midden and fish-mounds. Marine mammal consumption will be traced using an Inuit population of Arctic Canada and the Wairau Bar population of New Zealand. C/N/Zn isotope compositions of various aquatic products will also be assessed, as well as isotope fractionation during intestinal absorption. I will then use the fully calibrated isotope tools to detect and characterize the onset of marine food exploitation in human history, which will answer the question of its specificity to our species. Neanderthal, early modern humans and possibly other hominin remains from coastal and inland sites will be compared in that purpose.
Max ERC Funding
1 361 991 €
Duration
Start date: 2019-03-01, End date: 2024-02-29
Project acronym BEBOP
Project Bacterial biofilms in porous structures: from biomechanics to control
Researcher (PI) Yohan, Jean-Michel, Louis DAVIT
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary The key ideas motivating this project are that: 1) precise control of the properties of porous systems can be obtained by exploiting bacteria and their fantastic abilities; 2) conversely, porous media (large surface to volume ratios, complex structures) could be a major part of bacterial synthetic biology, as a scaffold for growing large quantities of microorganisms in controlled bioreactors.
The main scientific obstacle to precise control of such processes is the lack of understanding of biophysical mechanisms in complex porous structures, even in the case of single-strain biofilms. The central hypothesis of this project is that a better fundamental understanding of biofilm biomechanics and physical ecology will yield a novel theoretical basis for engineering and control.
The first scientific objective is thus to gain insight into how fluid flow, transport phenomena and biofilms interact within connected multiscale heterogeneous structures - a major scientific challenge with wide-ranging implications. To this end, we will combine microfluidic and 3D printed micro-bioreactor experiments; fluorescence and X-ray imaging; high performance computing blending CFD, individual-based models and pore network approaches.
The second scientific objective is to create the primary building blocks toward a control theory of bacteria in porous media and innovative designs of microbial bioreactors. Building upon the previous objective, we first aim to extract from the complexity of biological responses the most universal engineering principles applying to such systems. We will then design a novel porous micro-bioreactor to demonstrate how the permeability and solute residence times can be controlled in a dynamic, reversible and stable way - an initial step toward controlling reaction rates.
We envision that this will unlock a new generation of biotechnologies and novel bioreactor designs enabling translation from proof-of-concept synthetic microbiology to industrial processes.
Summary
The key ideas motivating this project are that: 1) precise control of the properties of porous systems can be obtained by exploiting bacteria and their fantastic abilities; 2) conversely, porous media (large surface to volume ratios, complex structures) could be a major part of bacterial synthetic biology, as a scaffold for growing large quantities of microorganisms in controlled bioreactors.
The main scientific obstacle to precise control of such processes is the lack of understanding of biophysical mechanisms in complex porous structures, even in the case of single-strain biofilms. The central hypothesis of this project is that a better fundamental understanding of biofilm biomechanics and physical ecology will yield a novel theoretical basis for engineering and control.
The first scientific objective is thus to gain insight into how fluid flow, transport phenomena and biofilms interact within connected multiscale heterogeneous structures - a major scientific challenge with wide-ranging implications. To this end, we will combine microfluidic and 3D printed micro-bioreactor experiments; fluorescence and X-ray imaging; high performance computing blending CFD, individual-based models and pore network approaches.
The second scientific objective is to create the primary building blocks toward a control theory of bacteria in porous media and innovative designs of microbial bioreactors. Building upon the previous objective, we first aim to extract from the complexity of biological responses the most universal engineering principles applying to such systems. We will then design a novel porous micro-bioreactor to demonstrate how the permeability and solute residence times can be controlled in a dynamic, reversible and stable way - an initial step toward controlling reaction rates.
We envision that this will unlock a new generation of biotechnologies and novel bioreactor designs enabling translation from proof-of-concept synthetic microbiology to industrial processes.
Max ERC Funding
1 649 861 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym BeyondA1
Project Set theory beyond the first uncountable cardinal
Researcher (PI) Assaf Shmuel Rinot
Host Institution (HI) BAR ILAN UNIVERSITY
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary We propose to establish a research group that will unveil the combinatorial nature of the second uncountable cardinal. This includes its Ramsey-theoretic, order-theoretic, graph-theoretic and topological features. Among others, we will be directly addressing fundamental problems due to Erdos, Rado, Galvin, and Shelah.
While some of these problems are old and well-known, an unexpected series of breakthroughs from the last three years suggest that now is a promising point in time to carry out such a project. Indeed, through a short period, four previously unattainable problems concerning the second uncountable cardinal were successfully tackled: Aspero on a club-guessing problem of Shelah, Krueger on the club-isomorphism problem for Aronszajn trees, Neeman on the isomorphism problem for dense sets of reals, and the PI on the Souslin problem. Each of these results was obtained through the development of a completely new technical framework, and these frameworks could now pave the way for the solution of some major open questions.
A goal of the highest risk in this project is the discovery of a consistent (possibly, parameterized) forcing axiom that will (preferably, simultaneously) provide structure theorems for stationary sets, linearly ordered sets, trees, graphs, and partition relations, as well as the refutation of various forms of club-guessing principles, all at the level of the second uncountable cardinal. In comparison, at the level of the first uncountable cardinal, a forcing axiom due to Foreman, Magidor and Shelah achieves exactly that.
To approach our goals, the proposed project is divided into four core areas: Uncountable trees, Ramsey theory on ordinals, Club-guessing principles, and Forcing Axioms. There is a rich bilateral interaction between any pair of the four different cores, but the proposed division will allow an efficient allocation of manpower, and will increase the chances of parallel success.
Summary
We propose to establish a research group that will unveil the combinatorial nature of the second uncountable cardinal. This includes its Ramsey-theoretic, order-theoretic, graph-theoretic and topological features. Among others, we will be directly addressing fundamental problems due to Erdos, Rado, Galvin, and Shelah.
While some of these problems are old and well-known, an unexpected series of breakthroughs from the last three years suggest that now is a promising point in time to carry out such a project. Indeed, through a short period, four previously unattainable problems concerning the second uncountable cardinal were successfully tackled: Aspero on a club-guessing problem of Shelah, Krueger on the club-isomorphism problem for Aronszajn trees, Neeman on the isomorphism problem for dense sets of reals, and the PI on the Souslin problem. Each of these results was obtained through the development of a completely new technical framework, and these frameworks could now pave the way for the solution of some major open questions.
A goal of the highest risk in this project is the discovery of a consistent (possibly, parameterized) forcing axiom that will (preferably, simultaneously) provide structure theorems for stationary sets, linearly ordered sets, trees, graphs, and partition relations, as well as the refutation of various forms of club-guessing principles, all at the level of the second uncountable cardinal. In comparison, at the level of the first uncountable cardinal, a forcing axiom due to Foreman, Magidor and Shelah achieves exactly that.
To approach our goals, the proposed project is divided into four core areas: Uncountable trees, Ramsey theory on ordinals, Club-guessing principles, and Forcing Axioms. There is a rich bilateral interaction between any pair of the four different cores, but the proposed division will allow an efficient allocation of manpower, and will increase the chances of parallel success.
Max ERC Funding
1 362 500 €
Duration
Start date: 2018-10-01, End date: 2023-09-30
Project acronym BIOMORPHIC
Project Brain-Inspired Organic Modular Lab-on-a-Chip for Cell Classification
Researcher (PI) Yoeri Bertin VAN DE BURGT
Host Institution (HI) TECHNISCHE UNIVERSITEIT EINDHOVEN
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Brain-inspired (neuromorphic) computing has recently demonstrated advancements in pattern and image recognition as well as classification of unstructured (big) data. However, the volatility and energy required for neuromorphic devices presented to date significantly complicate the path to achieve the interconnectivity and efficiency of the brain. In previous work, recently published in Nature Materials, the PI has demonstrated a low-cost solution to these drawbacks: an organic artificial synapse as a building-block for organic neuromorphics. The conductance of this single synapse can be accurately tuned by controlled ion injection in the conductive polymer, which could trigger unprecedented low-energy analogue computing.
Hence, the major challenge in the largely unexplored field of organic neuromorphics, is to create an interconnected network of these synapses to obtain a true neuromorphic array which will not only be exceptionally pioneering in materials research for neuromorphics and machine-learning, but can also be adopted in a multitude of vital medical research devices. BIOMORPHIC will develop a unique brain-inspired organic lab-on-a-chip in which microfluidics integrated with sensors, collecting characteristics of biological cells, will serve as input to the neuromorphic array. BIOMORPHIC will combine modular microfluidics and machine-learning to develop a novel platform for low-cost lab-on-a-chip devices capable of on-chip cell classification.
In particular, BIOMORPHIC will focus on the detection of circulating tumour cells (CTC). Current methods for the detection of cancer are generally invasive, whereas analysing CTCs in blood offers a highly desired alternative. However, accurately detecting and isolating these cells remains a challenge due to their low prevalence and large variability. The strength of neuromorphics precisely lies in finding patterns in such variable data, which will result in a ground-breaking CTC classification lab-on-a-chip.
Summary
Brain-inspired (neuromorphic) computing has recently demonstrated advancements in pattern and image recognition as well as classification of unstructured (big) data. However, the volatility and energy required for neuromorphic devices presented to date significantly complicate the path to achieve the interconnectivity and efficiency of the brain. In previous work, recently published in Nature Materials, the PI has demonstrated a low-cost solution to these drawbacks: an organic artificial synapse as a building-block for organic neuromorphics. The conductance of this single synapse can be accurately tuned by controlled ion injection in the conductive polymer, which could trigger unprecedented low-energy analogue computing.
Hence, the major challenge in the largely unexplored field of organic neuromorphics, is to create an interconnected network of these synapses to obtain a true neuromorphic array which will not only be exceptionally pioneering in materials research for neuromorphics and machine-learning, but can also be adopted in a multitude of vital medical research devices. BIOMORPHIC will develop a unique brain-inspired organic lab-on-a-chip in which microfluidics integrated with sensors, collecting characteristics of biological cells, will serve as input to the neuromorphic array. BIOMORPHIC will combine modular microfluidics and machine-learning to develop a novel platform for low-cost lab-on-a-chip devices capable of on-chip cell classification.
In particular, BIOMORPHIC will focus on the detection of circulating tumour cells (CTC). Current methods for the detection of cancer are generally invasive, whereas analysing CTCs in blood offers a highly desired alternative. However, accurately detecting and isolating these cells remains a challenge due to their low prevalence and large variability. The strength of neuromorphics precisely lies in finding patterns in such variable data, which will result in a ground-breaking CTC classification lab-on-a-chip.
Max ERC Funding
1 498 726 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym BioWater
Project Development of new chemical imaging techniques to understand the function of water in biocompatibility, biodegradation and biofouling
Researcher (PI) Aoife Ann Gowen
Host Institution (HI) UNIVERSITY COLLEGE DUBLIN, NATIONAL UNIVERSITY OF IRELAND, DUBLIN
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary Water is the first molecule to come into contact with biomaterials in biological systems and thus essential to the processes of biodegradation, biocompatibility and biofouling. Despite this fact, little is currently known about how biomaterials interact with water. This knowledge is crucial for the development and optimisation of novel functional biomaterials for human health (e.g. biosensing devices, erodible biomaterials, drug release carriers, wound dressings). BioWater will develop near and mid infrared chemical imaging (NIR-MIR-CI) techniques to investigate the fundamental interaction between biomaterials and water in order to understand the key processes of biodegradation, biocompatibility and biofouling. This ambitious yet achievable project will focus on two major categories of biomaterials relevant to human health: extracellular collagens and synthetic biopolymers. Initially, interactions between these biomaterials and water will be investigated; subsequently interactions with more complicated matrices (e.g. protein solutions and cellular systems) will be studied. CI data will be correlated with standard surface characterization, biocompatibility and biodegradation measurements. Molecular dynamic simulations will complement this work to identify the most probable molecular structures of water at different biomaterial interfaces.
Advanced understanding of the role of water in biocompatibility, biofouling and biodegradation processes will facilitate the optimization of biomaterials tailored to specific cellular environments with a broad range of therapeutic applications (e.g. drug eluting stents, tissue engineering, wound healing). The new NIR-MIR-CI/chemometric methodologies developed in BioWater will allow for the rapid characterization and monitoring of novel biomaterials at pre-clinical stages, improving process control by overcoming the laborious and time consuming large-scale sampling methods currently required in biomaterials development.
Summary
Water is the first molecule to come into contact with biomaterials in biological systems and thus essential to the processes of biodegradation, biocompatibility and biofouling. Despite this fact, little is currently known about how biomaterials interact with water. This knowledge is crucial for the development and optimisation of novel functional biomaterials for human health (e.g. biosensing devices, erodible biomaterials, drug release carriers, wound dressings). BioWater will develop near and mid infrared chemical imaging (NIR-MIR-CI) techniques to investigate the fundamental interaction between biomaterials and water in order to understand the key processes of biodegradation, biocompatibility and biofouling. This ambitious yet achievable project will focus on two major categories of biomaterials relevant to human health: extracellular collagens and synthetic biopolymers. Initially, interactions between these biomaterials and water will be investigated; subsequently interactions with more complicated matrices (e.g. protein solutions and cellular systems) will be studied. CI data will be correlated with standard surface characterization, biocompatibility and biodegradation measurements. Molecular dynamic simulations will complement this work to identify the most probable molecular structures of water at different biomaterial interfaces.
Advanced understanding of the role of water in biocompatibility, biofouling and biodegradation processes will facilitate the optimization of biomaterials tailored to specific cellular environments with a broad range of therapeutic applications (e.g. drug eluting stents, tissue engineering, wound healing). The new NIR-MIR-CI/chemometric methodologies developed in BioWater will allow for the rapid characterization and monitoring of novel biomaterials at pre-clinical stages, improving process control by overcoming the laborious and time consuming large-scale sampling methods currently required in biomaterials development.
Max ERC Funding
1 487 682 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym CapBed
Project Engineered Capillary Beds for Successful Prevascularization of Tissue Engineering Constructs
Researcher (PI) Rogério Pedro Lemos de Sousa Pirraco
Host Institution (HI) UNIVERSIDADE DO MINHO
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary The demand for donated organs vastly outnumbers the supply, leading each year to the death of thousands of people and the suffering of millions more. Engineered tissues and organs following Tissue Engineering approaches are a possible solution to this problem. However, a prevascularization solution to irrigate complex engineered tissues and assure their survival after transplantation is currently elusive. In the human body, complex organs and tissues irrigation is achieved by a network of blood vessels termed capillary bed which suggests such a structure is needed in engineered tissues. Previous approaches to engineer capillary beds reached different levels of success but none yielded a fully functional one due to the inability in simultaneously addressing key elements such as correct angiogenic cell populations, a suitable matrix and dynamic conditions that mimic blood flow.
CapBed aims at proposing a new technology to fabricate in vitro capillary beds that include a vascular axis that can be anastomosed with a patient circulation. Such capillary beds could be used as prime tools to prevascularize in vitro engineered tissues and provide fast perfusion of those after transplantation to a patient. Cutting edge techniques will be for the first time integrated in a disruptive approach to address the requirements listed above. Angiogenic cell sheets of human Adipose-derived Stromal Vascular fraction cells will provide the cell populations that integrate the capillaries and manage its intricate formation, as well as the collagen required to build the matrix that will hold the capillary beds. Innovative fabrication technologies such as 3D printing and laser photoablation will be used for the fabrication of the micropatterned matrix that will allow fluid flow through microfluidics. The resulting functional capillary beds can be used with virtually every tissue engineering strategy rendering the proposed strategy with massive economical, scientific and medical potential
Summary
The demand for donated organs vastly outnumbers the supply, leading each year to the death of thousands of people and the suffering of millions more. Engineered tissues and organs following Tissue Engineering approaches are a possible solution to this problem. However, a prevascularization solution to irrigate complex engineered tissues and assure their survival after transplantation is currently elusive. In the human body, complex organs and tissues irrigation is achieved by a network of blood vessels termed capillary bed which suggests such a structure is needed in engineered tissues. Previous approaches to engineer capillary beds reached different levels of success but none yielded a fully functional one due to the inability in simultaneously addressing key elements such as correct angiogenic cell populations, a suitable matrix and dynamic conditions that mimic blood flow.
CapBed aims at proposing a new technology to fabricate in vitro capillary beds that include a vascular axis that can be anastomosed with a patient circulation. Such capillary beds could be used as prime tools to prevascularize in vitro engineered tissues and provide fast perfusion of those after transplantation to a patient. Cutting edge techniques will be for the first time integrated in a disruptive approach to address the requirements listed above. Angiogenic cell sheets of human Adipose-derived Stromal Vascular fraction cells will provide the cell populations that integrate the capillaries and manage its intricate formation, as well as the collagen required to build the matrix that will hold the capillary beds. Innovative fabrication technologies such as 3D printing and laser photoablation will be used for the fabrication of the micropatterned matrix that will allow fluid flow through microfluidics. The resulting functional capillary beds can be used with virtually every tissue engineering strategy rendering the proposed strategy with massive economical, scientific and medical potential
Max ERC Funding
1 499 940 €
Duration
Start date: 2018-11-01, End date: 2023-10-31
Project acronym CAPS
Project Capillary suspensions: a novel route for versatile, cost efficient and environmentally friendly material design
Researcher (PI) Erin Crystal Koos
Host Institution (HI) KATHOLIEKE UNIVERSITEIT LEUVEN
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary A wide variety of materials including coatings and adhesives, emerging materials for nanotechnology products, as well as everyday food products are processed or delivered as suspensions. The flow properties of such suspensions must be finely adjusted according to the demands of the respective processing techniques, even for the feel of cosmetics and the perception of food products is highly influenced by their rheological properties. The recently developed capillary suspensions concept has the potential to revolutionize product formulations and material design. When a small amount (less than 1%) of a second immiscible liquid is added to the continuous phase of a suspension, the rheological properties of the mixture are dramatically altered from a fluid-like to a gel-like state or from a weak to a strong gel and the strength can be tuned in a wide range covering orders of magnitude. Capillary suspensions can be used to create smart, tunable fluids, stabilize mixtures that would otherwise phase separate, significantly reduce the amount organic or polymeric additives, and the strong particle network can be used as a precursor for the manufacturing of cost-efficient porous ceramics and foams with unprecedented properties.
This project will investigate the influence of factors determining capillary suspension formation, the strength of these admixtures as a function of these aspects, and how capillary suspensions depend on external forces. Only such a fundamental understanding of the network formation in capillary suspensions on both the micro- and macroscopic scale will allow for the design of sophisticated new materials. The main objectives of this proposal are to quantify and predict the strength of these admixtures and then use this information to design a variety of new materials in very different application areas including, e.g., porous materials, water-based coatings, ultra low fat foods, and conductive films.
Summary
A wide variety of materials including coatings and adhesives, emerging materials for nanotechnology products, as well as everyday food products are processed or delivered as suspensions. The flow properties of such suspensions must be finely adjusted according to the demands of the respective processing techniques, even for the feel of cosmetics and the perception of food products is highly influenced by their rheological properties. The recently developed capillary suspensions concept has the potential to revolutionize product formulations and material design. When a small amount (less than 1%) of a second immiscible liquid is added to the continuous phase of a suspension, the rheological properties of the mixture are dramatically altered from a fluid-like to a gel-like state or from a weak to a strong gel and the strength can be tuned in a wide range covering orders of magnitude. Capillary suspensions can be used to create smart, tunable fluids, stabilize mixtures that would otherwise phase separate, significantly reduce the amount organic or polymeric additives, and the strong particle network can be used as a precursor for the manufacturing of cost-efficient porous ceramics and foams with unprecedented properties.
This project will investigate the influence of factors determining capillary suspension formation, the strength of these admixtures as a function of these aspects, and how capillary suspensions depend on external forces. Only such a fundamental understanding of the network formation in capillary suspensions on both the micro- and macroscopic scale will allow for the design of sophisticated new materials. The main objectives of this proposal are to quantify and predict the strength of these admixtures and then use this information to design a variety of new materials in very different application areas including, e.g., porous materials, water-based coatings, ultra low fat foods, and conductive films.
Max ERC Funding
1 489 618 €
Duration
Start date: 2013-08-01, End date: 2018-07-31
Project acronym CCMP
Project Physics Of Magma Propagation and Emplacement: a multi-methodological Investigation
Researcher (PI) Eleonora Rivalta
Host Institution (HI) HELMHOLTZ ZENTRUM POTSDAM DEUTSCHESGEOFORSCHUNGSZENTRUM GFZ
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary Dikes and sills are large sheet-like intrusions transporting and storing magma in the Earth’s crust.
When propagating, they generate seismicity and deformation and may lead to volcanic eruption. The physics of magma-filled structures is similar to that of any fluid-filled reservoir, such as oil fields and CO2 reservoirs created by sequestration. This project aims to address old and new unresolved challenging questions related to dike propagation, sill emplacement and in general to the dynamics of fluid and gas-filled reservoirs. I propose to focus on crustal deformation, induced seismicity and external stress fields to study the signals dikes
and sills produce, how they grow and why they reactivate after years of non-detected activity. I will combine experimental, numerical and analytical techniques, in close cooperation with volcano observatories providing us with the data necessary to validate our models. In the lab, I will simulate magma propagation injecting fluid into solidified gelatin. I will also contribute to a project, currently under evaluation, on the monitoring of a CO2
sequestration site. At the same time, I will address theoretical aspects, extending static models to dynamic cases and eventually developing a comprehensive picture of the multi faceted interaction between external stress field,
magma and rock properties, crustal deformation and seismicity. I also plan, besides presenting my team’s work in the major national and international geophysical conferences, to produce, with technical support from the media services of DKRZ (Deutsches Klimarechenzentrum), an audiovisual teaching DVD illustrating scientific advances and unresolved issues in magma dynamics, in the prediction of eruptive activity and in the physics of reservoirs.
Summary
Dikes and sills are large sheet-like intrusions transporting and storing magma in the Earth’s crust.
When propagating, they generate seismicity and deformation and may lead to volcanic eruption. The physics of magma-filled structures is similar to that of any fluid-filled reservoir, such as oil fields and CO2 reservoirs created by sequestration. This project aims to address old and new unresolved challenging questions related to dike propagation, sill emplacement and in general to the dynamics of fluid and gas-filled reservoirs. I propose to focus on crustal deformation, induced seismicity and external stress fields to study the signals dikes
and sills produce, how they grow and why they reactivate after years of non-detected activity. I will combine experimental, numerical and analytical techniques, in close cooperation with volcano observatories providing us with the data necessary to validate our models. In the lab, I will simulate magma propagation injecting fluid into solidified gelatin. I will also contribute to a project, currently under evaluation, on the monitoring of a CO2
sequestration site. At the same time, I will address theoretical aspects, extending static models to dynamic cases and eventually developing a comprehensive picture of the multi faceted interaction between external stress field,
magma and rock properties, crustal deformation and seismicity. I also plan, besides presenting my team’s work in the major national and international geophysical conferences, to produce, with technical support from the media services of DKRZ (Deutsches Klimarechenzentrum), an audiovisual teaching DVD illustrating scientific advances and unresolved issues in magma dynamics, in the prediction of eruptive activity and in the physics of reservoirs.
Max ERC Funding
1 507 679 €
Duration
Start date: 2010-07-01, End date: 2015-06-30
Project acronym CEMOS
Project Crystal Engineering for Molecular Organic Semiconductors
Researcher (PI) Kevin Sivula
Host Institution (HI) ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary "The urgent need to develop inexpensive and ubiquitous solar energy conversion cannot be overstated. Solution processed organic semiconductors can enable this goal as they support drastically less expensive fabrication techniques compared to traditional semiconductors. Molecular organic semiconductors (MOSs) offer many advantages to their more-common pi-conjugated polymer counterparts, however a clear and fundamental challenge to enable the goal of high performance solution-processable molecular organic semiconductor devices is to develop the ability to control the crystal packing, crystalline domain size, and mixing ability (for multicomponent blends) in the thin-film device geometry. The CEMOS project will accomplish this by pioneering innovative methods of “bottom-up” crystal engineering for organic semiconductors. We will employ specifically tailored molecules designed to leverage both thermodynamic and kinetic aspects of molecular organic semiconductor systems to direct and control crystalline packing, promote crystallite nucleation, compatibilize disparate phases, and plasticize inelastic materials. We will demonstrate that our new classes of materials can enable the tuning of the charge carrier transport and morphology in MOS thin films, and we will evaluate their performance in actual thin-film transistor (TFT) and organic photovoltaic (OPV) devices. Our highly interdisciplinary approach, combining material synthesis and device fabrication/evaluation, will not only lead to improvements in the performance and stability of OPVs and TFTs but will also give deep insights into how the crystalline packing—independent from the molecular structure—affects the optoelectronic properties. The success of CEMOS will rapidly advance the performance of MOS devices by enabling reproducible and tuneable performance comparable to traditional semiconductors—but at radically lower processing costs."
Summary
"The urgent need to develop inexpensive and ubiquitous solar energy conversion cannot be overstated. Solution processed organic semiconductors can enable this goal as they support drastically less expensive fabrication techniques compared to traditional semiconductors. Molecular organic semiconductors (MOSs) offer many advantages to their more-common pi-conjugated polymer counterparts, however a clear and fundamental challenge to enable the goal of high performance solution-processable molecular organic semiconductor devices is to develop the ability to control the crystal packing, crystalline domain size, and mixing ability (for multicomponent blends) in the thin-film device geometry. The CEMOS project will accomplish this by pioneering innovative methods of “bottom-up” crystal engineering for organic semiconductors. We will employ specifically tailored molecules designed to leverage both thermodynamic and kinetic aspects of molecular organic semiconductor systems to direct and control crystalline packing, promote crystallite nucleation, compatibilize disparate phases, and plasticize inelastic materials. We will demonstrate that our new classes of materials can enable the tuning of the charge carrier transport and morphology in MOS thin films, and we will evaluate their performance in actual thin-film transistor (TFT) and organic photovoltaic (OPV) devices. Our highly interdisciplinary approach, combining material synthesis and device fabrication/evaluation, will not only lead to improvements in the performance and stability of OPVs and TFTs but will also give deep insights into how the crystalline packing—independent from the molecular structure—affects the optoelectronic properties. The success of CEMOS will rapidly advance the performance of MOS devices by enabling reproducible and tuneable performance comparable to traditional semiconductors—but at radically lower processing costs."
Max ERC Funding
1 477 472 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym CHAPARDYN
Project Chaos in Parabolic Dynamics: Mixing, Rigidity, Spectra
Researcher (PI) Corinna Ulcigrai
Host Institution (HI) UNIVERSITY OF BRISTOL
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary "The theme of the proposal is the mathematical investigation of chaos (in particular ergodic and spectral properties) in parabolic dynamics, via analytic, geometric and probabilistic techniques. Parabolic dynamical systems are mathematical models of the many phenomena which display a ""slow"" form of chaotic evolution, in the sense that nearby trajectories diverge polynomially in time. In contrast with the hyperbolic case and with the elliptic case, there is no general theory which describes parabolic dynamical systems. Only few classical examples are well understood.
The research plan aims at bridging this gap, by studying new classes of parabolic systems and unexplored properties of classical ones. More precisely, I propose to study parabolic flows beyond the algebraic set-up and infinite measure-preserving parabolic systems, both of which are very virgin fields of research, and to attack open conjectures and questions on fine chaotic properties, such as spectra and rigidity, for area-preserving flows. Moreover, connections between parabolic dynamics and respectively number theory, mathematical physics and probability will be explored. g New techniques, stemming from some recent breakthroughs in Teichmueller dynamics, spectral theory and infinite ergodic theory, will be developed.
The proposed research will bring our knowledge significantly beyond the current state-of-the art, both in breadth and depth and will identify common features and mechanisms for chaos in parabolic systems. Understanding similar features and common geometric mechanisms responsible for mixing, rigidity and spectral properties of parabolic systems will provide important insight towards an universal theory of parabolic dynamics."
Summary
"The theme of the proposal is the mathematical investigation of chaos (in particular ergodic and spectral properties) in parabolic dynamics, via analytic, geometric and probabilistic techniques. Parabolic dynamical systems are mathematical models of the many phenomena which display a ""slow"" form of chaotic evolution, in the sense that nearby trajectories diverge polynomially in time. In contrast with the hyperbolic case and with the elliptic case, there is no general theory which describes parabolic dynamical systems. Only few classical examples are well understood.
The research plan aims at bridging this gap, by studying new classes of parabolic systems and unexplored properties of classical ones. More precisely, I propose to study parabolic flows beyond the algebraic set-up and infinite measure-preserving parabolic systems, both of which are very virgin fields of research, and to attack open conjectures and questions on fine chaotic properties, such as spectra and rigidity, for area-preserving flows. Moreover, connections between parabolic dynamics and respectively number theory, mathematical physics and probability will be explored. g New techniques, stemming from some recent breakthroughs in Teichmueller dynamics, spectral theory and infinite ergodic theory, will be developed.
The proposed research will bring our knowledge significantly beyond the current state-of-the art, both in breadth and depth and will identify common features and mechanisms for chaos in parabolic systems. Understanding similar features and common geometric mechanisms responsible for mixing, rigidity and spectral properties of parabolic systems will provide important insight towards an universal theory of parabolic dynamics."
Max ERC Funding
1 193 534 €
Duration
Start date: 2014-01-01, End date: 2019-08-31
Project acronym CiliaMechanoBio
Project Primary Cilium-Mediated Mesenchymal Stem Cell Mechanobiology in Bone
Researcher (PI) David Hoey
Host Institution (HI) THE PROVOST, FELLOWS, FOUNDATION SCHOLARS & THE OTHER MEMBERS OF BOARD OF THE COLLEGE OF THE HOLY & UNDIVIDED TRINITY OF QUEEN ELIZABETH NEAR DUBLIN
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary Every 30 seconds a person suffers an osteoporosis-related bone fracture in the EU, resulting in significant morbidity, mortality, and health-care costs estimated at €36billion annually. Current therapeutics target bone resorbing osteoclasts, but these are associated with severe side effects. Osteoporosis arises when mesenchymal stem cells (MSC) fail to produce sufficient numbers of bone forming osteoblasts. A key regulator of MSC behaviour is physical loading, yet the mechanisms by which MSCs sense and respond to changes in their mechanical environment are virtually unknown. Primary cilia are nearly ubiquitous ‘antennae-like’ cellular organelles that have very recently emerged as extracellular mechano/chemo-sensors and thus, are strong candidates to play a role in regulating MSC responses in bone. Therefore, the objective of this research program is to determine the role of the primary cilium and associated molecular components in the osteogenic differentiation and recruitment of human MSCs in loading-induced bone adaptation. This will be achieved through ground-breaking in vitro and in vivo techniques developed by the applicant. The knowledge generated in this proposal will represent a profound advance in our understanding of stem cell mechanobiology. In particular, the identification of the cilium and associated molecules as central to stem cell behaviour will lead to the direct manipulation of MSCs via novel cilia-targeted therapeutics that mimic the regenerative influence of loading at a molecular level. These novel therapeutics would therefore target bone formation, providing an alternative path to treatment, resulting in an improved supply of bone forming cells, preventing osteoporosis. Furthermore, these novel therapeutics will be incorporated into biomaterials, generating bioactive osteoinductive scaffolds. These advances will not only improve quality of life for the patient but will significantly reduce the financial burden of bone loss diseases in the EU.
Summary
Every 30 seconds a person suffers an osteoporosis-related bone fracture in the EU, resulting in significant morbidity, mortality, and health-care costs estimated at €36billion annually. Current therapeutics target bone resorbing osteoclasts, but these are associated with severe side effects. Osteoporosis arises when mesenchymal stem cells (MSC) fail to produce sufficient numbers of bone forming osteoblasts. A key regulator of MSC behaviour is physical loading, yet the mechanisms by which MSCs sense and respond to changes in their mechanical environment are virtually unknown. Primary cilia are nearly ubiquitous ‘antennae-like’ cellular organelles that have very recently emerged as extracellular mechano/chemo-sensors and thus, are strong candidates to play a role in regulating MSC responses in bone. Therefore, the objective of this research program is to determine the role of the primary cilium and associated molecular components in the osteogenic differentiation and recruitment of human MSCs in loading-induced bone adaptation. This will be achieved through ground-breaking in vitro and in vivo techniques developed by the applicant. The knowledge generated in this proposal will represent a profound advance in our understanding of stem cell mechanobiology. In particular, the identification of the cilium and associated molecules as central to stem cell behaviour will lead to the direct manipulation of MSCs via novel cilia-targeted therapeutics that mimic the regenerative influence of loading at a molecular level. These novel therapeutics would therefore target bone formation, providing an alternative path to treatment, resulting in an improved supply of bone forming cells, preventing osteoporosis. Furthermore, these novel therapeutics will be incorporated into biomaterials, generating bioactive osteoinductive scaffolds. These advances will not only improve quality of life for the patient but will significantly reduce the financial burden of bone loss diseases in the EU.
Max ERC Funding
1 455 068 €
Duration
Start date: 2013-11-01, End date: 2018-10-31
Project acronym CLAPO
Project The Coevolution of Life and Arsenic in Precambrian Oceans
Researcher (PI) Ernest Chi Fru
Host Institution (HI) CARDIFF UNIVERSITY
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary The ubiquity of arsenic resistant genes across all of life’s variety suggests a close intimacy between arsenic biogeochemistry and evolution, over geological time scales. However, the behaviour of arsenic in past environments where life originated and its impact on our evolution is essentially unknown. Arsenic is of particular importance because of its toxic properties, prevalence in tight association with ubiquitous iron and sulfide minerals and as a major component of sulfide-rich waters, all common features of Precambrian oceans. Arsenic obstructs the synthesis of the building blocks of life, exhibiting both chronic and acute toxicity at very low concentrations. These properties make arsenic an agent capable of exerting strong selective pressure on the distribution, success and diversity of life. This is exemplified by when the release of arsenic into groundwater following rock-weathering processes results in widespread poisoning. Using the state of the art stable isotopes tools, coupled to biomass production, bacterial iron, arsenic and sulfur cycling under ancient oceanic conditions, this project will open a new discussion on the much debated relationship between ocean chemistry and evolution, by introducing a new arsenic framework. This will be achieved under three majors themes: 1) Does there exist a biogeochemical connection between arsenic and the timing and transition from the iron-rich to the hypothesized sulfide-rich oceans that are linked to the rise of atmospheric oxygen? 2) Does arsenic and sulfide show concomitant cyclicity during the Precambrian? 3) Could arsenic thus serve as a proxy for the calibration of key transitional steps in the timing of biological innovation?
Summary
The ubiquity of arsenic resistant genes across all of life’s variety suggests a close intimacy between arsenic biogeochemistry and evolution, over geological time scales. However, the behaviour of arsenic in past environments where life originated and its impact on our evolution is essentially unknown. Arsenic is of particular importance because of its toxic properties, prevalence in tight association with ubiquitous iron and sulfide minerals and as a major component of sulfide-rich waters, all common features of Precambrian oceans. Arsenic obstructs the synthesis of the building blocks of life, exhibiting both chronic and acute toxicity at very low concentrations. These properties make arsenic an agent capable of exerting strong selective pressure on the distribution, success and diversity of life. This is exemplified by when the release of arsenic into groundwater following rock-weathering processes results in widespread poisoning. Using the state of the art stable isotopes tools, coupled to biomass production, bacterial iron, arsenic and sulfur cycling under ancient oceanic conditions, this project will open a new discussion on the much debated relationship between ocean chemistry and evolution, by introducing a new arsenic framework. This will be achieved under three majors themes: 1) Does there exist a biogeochemical connection between arsenic and the timing and transition from the iron-rich to the hypothesized sulfide-rich oceans that are linked to the rise of atmospheric oxygen? 2) Does arsenic and sulfide show concomitant cyclicity during the Precambrian? 3) Could arsenic thus serve as a proxy for the calibration of key transitional steps in the timing of biological innovation?
Max ERC Funding
1 486 374 €
Duration
Start date: 2013-09-01, End date: 2018-08-31
Project acronym CLUSTER
Project organisation of CLoUdS, and implications for Tropical cyclones and for the Energetics of the tropics, in current and in a waRming climate
Researcher (PI) caroline MULLER
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary Few geophysical phenomena are as spectacular as tropical cyclones, with their eye surrounded by sharp cloudy eyewalls. There are other types of spatially organised convection (convection refers to overturning of air within which clouds are embedded), in fact organised convection is ubiquitous in the tropics. But it is still poorly understood and poorly represented in convective parameterisations of global climate models, despite its strong societal and climatic impact. It is associated with extreme weather, and with dramatic changes of the large scales, including drying of the atmosphere and increased outgoing longwave radiation to space. The latter can have dramatic consequences on tropical energetics, and hence on global climate. Thus, convective organisation could be a key missing ingredient in current estimates of climate sensitivity from climate models.
CLUSTER will lead to improved fundamental understanding of convective organisation to help guide and improve convective parameterisations. It is closely related to the World Climate Research Programme (WCRP) grand challenge: Clouds, circulation and climate sensitivity. Grand challenges identify areas of emphasis in the coming decade, targeting specific barriers preventing progress in critical areas of climate science.
Until recently, progress on this topic was hindered by high numerical cost and lack of fundamental understanding. Advances in computer power combined with new discoveries based on idealised frameworks, theory and observational findings, make this the ideal time to determine the fundamental processes governing convective organisation in nature. Using a synergy of theory, high-resolution cloud-resolving simulations, and in-situ and satellite observations, CLUSTER will specifically target two feedbacks recently identified as being essential to convective aggregation, and assess their impact on tropical cyclones, large-scale properties including precipitation extremes, and energetics of the tropics.
Summary
Few geophysical phenomena are as spectacular as tropical cyclones, with their eye surrounded by sharp cloudy eyewalls. There are other types of spatially organised convection (convection refers to overturning of air within which clouds are embedded), in fact organised convection is ubiquitous in the tropics. But it is still poorly understood and poorly represented in convective parameterisations of global climate models, despite its strong societal and climatic impact. It is associated with extreme weather, and with dramatic changes of the large scales, including drying of the atmosphere and increased outgoing longwave radiation to space. The latter can have dramatic consequences on tropical energetics, and hence on global climate. Thus, convective organisation could be a key missing ingredient in current estimates of climate sensitivity from climate models.
CLUSTER will lead to improved fundamental understanding of convective organisation to help guide and improve convective parameterisations. It is closely related to the World Climate Research Programme (WCRP) grand challenge: Clouds, circulation and climate sensitivity. Grand challenges identify areas of emphasis in the coming decade, targeting specific barriers preventing progress in critical areas of climate science.
Until recently, progress on this topic was hindered by high numerical cost and lack of fundamental understanding. Advances in computer power combined with new discoveries based on idealised frameworks, theory and observational findings, make this the ideal time to determine the fundamental processes governing convective organisation in nature. Using a synergy of theory, high-resolution cloud-resolving simulations, and in-situ and satellite observations, CLUSTER will specifically target two feedbacks recently identified as being essential to convective aggregation, and assess their impact on tropical cyclones, large-scale properties including precipitation extremes, and energetics of the tropics.
Max ERC Funding
1 078 021 €
Duration
Start date: 2019-06-01, End date: 2024-05-31
Project acronym COCOON
Project Conformal coating of nanoporous materials
Researcher (PI) Christophe Detavernier
Host Institution (HI) UNIVERSITEIT GENT
Call Details Starting Grant (StG), PE8, ERC-2009-StG
Summary CONTEXT - Nanoporous structures are used for application in catalysis, molecular separation, fuel cells, dye sensitized solar cells etc. Given the near molecular size of the porous network, it is extremely challenging to modify the interior surface of the pores after the nanoporous material has been synthesized.
THIS PROPOSAL - Atomic Layer Deposition (ALD) is envisioned as a novel technique for creating catalytically active sites and for controlling the pore size distribution in nanoporous materials. ALD is a self-limited growth method that is characterized by alternating exposure of the growing film to precursor vapours, resulting in the sequential deposition of (sub)monolayers. It provides atomic level control of thickness and composition, and is currently used in micro-electronics to grow films into structures with aspect ratios of up to 100 / 1. We aim to make the fundamental breakthroughs necessary to enable atomic layer deposition to engineer the composition, size and shape of the interior surface of nanoporous materials with aspect ratios in excess of 10,000 / 1.
POTENTIAL IMPACT Achieving these objectives will enable atomic level engineering of the interior surface of any porous material. We plan to focus on three specific applications where our results will have both medium and long term impacts:
- Engineering the composition of pore walls using ALD, e.g. to create catalytic sites (e.g. Al for acid sites, Ti for redox sites, or Pt, Pd or Ni)
- chemical functionalization of the pore walls with atomic level control can result in breakthrough applications in the fields of catalysis and sensors.
- Atomic level control of the size of nanopores through ALD controlling the pore size distribution of molecular sieves can potentially lead to breakthrough applications in molecular separation and filtration.
- Nanocasting replication of a mesoporous template by means of ALD can result in the mass-scale production of nanotubes.
Summary
CONTEXT - Nanoporous structures are used for application in catalysis, molecular separation, fuel cells, dye sensitized solar cells etc. Given the near molecular size of the porous network, it is extremely challenging to modify the interior surface of the pores after the nanoporous material has been synthesized.
THIS PROPOSAL - Atomic Layer Deposition (ALD) is envisioned as a novel technique for creating catalytically active sites and for controlling the pore size distribution in nanoporous materials. ALD is a self-limited growth method that is characterized by alternating exposure of the growing film to precursor vapours, resulting in the sequential deposition of (sub)monolayers. It provides atomic level control of thickness and composition, and is currently used in micro-electronics to grow films into structures with aspect ratios of up to 100 / 1. We aim to make the fundamental breakthroughs necessary to enable atomic layer deposition to engineer the composition, size and shape of the interior surface of nanoporous materials with aspect ratios in excess of 10,000 / 1.
POTENTIAL IMPACT Achieving these objectives will enable atomic level engineering of the interior surface of any porous material. We plan to focus on three specific applications where our results will have both medium and long term impacts:
- Engineering the composition of pore walls using ALD, e.g. to create catalytic sites (e.g. Al for acid sites, Ti for redox sites, or Pt, Pd or Ni)
- chemical functionalization of the pore walls with atomic level control can result in breakthrough applications in the fields of catalysis and sensors.
- Atomic level control of the size of nanopores through ALD controlling the pore size distribution of molecular sieves can potentially lead to breakthrough applications in molecular separation and filtration.
- Nanocasting replication of a mesoporous template by means of ALD can result in the mass-scale production of nanotubes.
Max ERC Funding
1 432 800 €
Duration
Start date: 2010-01-01, End date: 2014-12-31
Project acronym COLLREGEN
Project Collagen scaffolds for bone regeneration: applied biomaterials, bioreactor and stem cell technology
Researcher (PI) Fergal Joseph O'brien
Host Institution (HI) ROYAL COLLEGE OF SURGEONS IN IRELAND
Call Details Starting Grant (StG), PE8, ERC-2009-StG
Summary Regenerative medicine aims to regenerate damaged tissues by developing functional cell, tissue, and organ substitutes to repair, replace or enhance biological function in damaged tissues. The focus of this research programme is to develop bone graft substitute biomaterials and laboratory-engineered bone tissue for implantation in damaged sites. At a simplistic level, biological tissues consist of cells, signalling mechanisms and extracellular matrix. Regenerative medicine/tissue engineering technologies are based on this biological triad and involve the successful interaction between three components: the scaffold that holds the cells together to create the tissues physical form, the cells that create the tissue, and the biological signalling mechanisms (such as growth factors or bioreactors) that direct the cells to express the desired tissue phenotype. The research proposed in this project includes specific projects in all three areas. The programme will be centred on the collagen-based biomaterials developed in the applicant s laboratory and will incorporate cutting edge stem cell technologies, growth factor delivery, gene therapy and bioreactor technology which will translate to in vivo tissue repair. This translational research programme will be divided into four specific themes: (i) development of novel osteoinductive and angiogenic smart scaffolds for bone tissue regeneration, (ii) scaffold and stem cell therapies for bone tissue regeneration, (iii) bone tissue engineering using a flow perfusion bioreactor and (iv) in vivo bone repair using engineered bone and smart scaffolds.
Summary
Regenerative medicine aims to regenerate damaged tissues by developing functional cell, tissue, and organ substitutes to repair, replace or enhance biological function in damaged tissues. The focus of this research programme is to develop bone graft substitute biomaterials and laboratory-engineered bone tissue for implantation in damaged sites. At a simplistic level, biological tissues consist of cells, signalling mechanisms and extracellular matrix. Regenerative medicine/tissue engineering technologies are based on this biological triad and involve the successful interaction between three components: the scaffold that holds the cells together to create the tissues physical form, the cells that create the tissue, and the biological signalling mechanisms (such as growth factors or bioreactors) that direct the cells to express the desired tissue phenotype. The research proposed in this project includes specific projects in all three areas. The programme will be centred on the collagen-based biomaterials developed in the applicant s laboratory and will incorporate cutting edge stem cell technologies, growth factor delivery, gene therapy and bioreactor technology which will translate to in vivo tissue repair. This translational research programme will be divided into four specific themes: (i) development of novel osteoinductive and angiogenic smart scaffolds for bone tissue regeneration, (ii) scaffold and stem cell therapies for bone tissue regeneration, (iii) bone tissue engineering using a flow perfusion bioreactor and (iv) in vivo bone repair using engineered bone and smart scaffolds.
Max ERC Funding
1 999 530 €
Duration
Start date: 2009-11-01, End date: 2015-09-30
Project acronym COMBOS
Project Collective phenomena in quantum and classical many body systems
Researcher (PI) Alessandro Giuliani
Host Institution (HI) UNIVERSITA DEGLI STUDI ROMA TRE
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary The collective behavior of quantum and classical many body systems such as ultracold atomic gases, nanowires, cuprates and micromagnets are currently subject of an intense experimental and theoretical research worldwide. Understanding the fascinating phenomena of Bose-Einstein condensation, Luttinger liquid vs non-Luttinger liquid behavior, high temperature superconductivity, and spontaneous formation of periodic patterns in magnetic systems, is an exciting challenge for theoreticians. Most of these phenomena are still far from being fully understood, even from a heuristic point of view. Unveiling the exotic properties of such systems by rigorous mathematical analysis is an important and difficult challenge for mathematical physics. In the last two decades, substantial progress has been made on various aspects of many-body theory, including Fermi liquids, Luttinger liquids, perturbed Ising models at criticality, bosonization, trapped Bose gases and spontaneous formation of periodic patterns. The techniques successfully employed in this field are diverse, and range from constructive renormalization group to functional variational estimates. In this research project we propose to investigate a number of statistical mechanics models by a combination of different mathematical methods. The objective is, on the one hand, to understand crossover phenomena, phase transitions and low-temperature states with broken symmetry, which are of interest in the theory of condensed matter and that we believe to be accessible to the currently available methods; on the other, to develop new techiques combining different and complementary methods, such as multiscale analysis and localization bounds, or reflection positivity and cluster expansion, which may be useful to further progress on important open problems, such as Bose-Einstein condensation, conformal invariance in non-integrable models, existence of magnetic or superconducting long range order.
Summary
The collective behavior of quantum and classical many body systems such as ultracold atomic gases, nanowires, cuprates and micromagnets are currently subject of an intense experimental and theoretical research worldwide. Understanding the fascinating phenomena of Bose-Einstein condensation, Luttinger liquid vs non-Luttinger liquid behavior, high temperature superconductivity, and spontaneous formation of periodic patterns in magnetic systems, is an exciting challenge for theoreticians. Most of these phenomena are still far from being fully understood, even from a heuristic point of view. Unveiling the exotic properties of such systems by rigorous mathematical analysis is an important and difficult challenge for mathematical physics. In the last two decades, substantial progress has been made on various aspects of many-body theory, including Fermi liquids, Luttinger liquids, perturbed Ising models at criticality, bosonization, trapped Bose gases and spontaneous formation of periodic patterns. The techniques successfully employed in this field are diverse, and range from constructive renormalization group to functional variational estimates. In this research project we propose to investigate a number of statistical mechanics models by a combination of different mathematical methods. The objective is, on the one hand, to understand crossover phenomena, phase transitions and low-temperature states with broken symmetry, which are of interest in the theory of condensed matter and that we believe to be accessible to the currently available methods; on the other, to develop new techiques combining different and complementary methods, such as multiscale analysis and localization bounds, or reflection positivity and cluster expansion, which may be useful to further progress on important open problems, such as Bose-Einstein condensation, conformal invariance in non-integrable models, existence of magnetic or superconducting long range order.
Max ERC Funding
650 000 €
Duration
Start date: 2010-01-01, End date: 2014-12-31
Project acronym COMITAC
Project An integrated geoscientific study of the thermodynamics and composition of the Earth's core-mantle interface
Researcher (PI) James Wookey
Host Institution (HI) UNIVERSITY OF BRISTOL
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary The core-mantle interface is the central cog in the Earth's titanic heat engine. As the boundary between the two major convecting parts of the Earth system (the solid silicate mantle and the liquid iron outer core) the properties of this region have a profound influence on the thermochemical and dynamic evolution of the entire planet, including tectonic phenomena at the surface. Evidence from seismology shows that D" (the lowermost few hundred kilometres of the mantle) is strongly heterogeneous in temperature, chemistry, structure and dynamics; this may dominate the long term evolution of the Earth's magnetic field and the morphology of mantle convection and chemical stratification, for example. Mapping and characterising this heterogeneity requires a detailed knowledge of the properties of the constituents and dynamics of D"; this is achievable by resolving its seismic anisotropy. The observation of anisotropy in the shallow lithosphere was an important piece of evidence for the theory of plate tectonics; now such a breakthrough is possible for the analogous deep boundary. We are at a critical juncture where developments in modelling strain in the mantle, petrofabrics and seismic wave propagation can be combined to produce a new generation of integrated models of D", embodying more complete information than any currently available. I propose a groundbreaking project to build such multidisciplinary models and to produce the first complete image of lowermost mantle anisotropy using the best available global, high resolution seismic dataset. The comparison of the models with these data is the key to making a fundamental improvement in our understanding of the thermodynamics and composition of the core-mantle interface, and illuminating its role in the wider Earth system.
Summary
The core-mantle interface is the central cog in the Earth's titanic heat engine. As the boundary between the two major convecting parts of the Earth system (the solid silicate mantle and the liquid iron outer core) the properties of this region have a profound influence on the thermochemical and dynamic evolution of the entire planet, including tectonic phenomena at the surface. Evidence from seismology shows that D" (the lowermost few hundred kilometres of the mantle) is strongly heterogeneous in temperature, chemistry, structure and dynamics; this may dominate the long term evolution of the Earth's magnetic field and the morphology of mantle convection and chemical stratification, for example. Mapping and characterising this heterogeneity requires a detailed knowledge of the properties of the constituents and dynamics of D"; this is achievable by resolving its seismic anisotropy. The observation of anisotropy in the shallow lithosphere was an important piece of evidence for the theory of plate tectonics; now such a breakthrough is possible for the analogous deep boundary. We are at a critical juncture where developments in modelling strain in the mantle, petrofabrics and seismic wave propagation can be combined to produce a new generation of integrated models of D", embodying more complete information than any currently available. I propose a groundbreaking project to build such multidisciplinary models and to produce the first complete image of lowermost mantle anisotropy using the best available global, high resolution seismic dataset. The comparison of the models with these data is the key to making a fundamental improvement in our understanding of the thermodynamics and composition of the core-mantle interface, and illuminating its role in the wider Earth system.
Max ERC Funding
1 639 615 €
Duration
Start date: 2009-09-01, End date: 2015-08-31
Project acronym CONLAWS
Project Hyperbolic Systems of Conservation Laws: singular limits, properties of solutions and control problems
Researcher (PI) Stefano Bianchini
Host Institution (HI) SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary The research program concerns various theoretic aspects of hyperbolic conservation laws. In first place we plan to study the existence and uniqueness of solutions to systems of equations of mathematical physics with physic viscosity. This is one of the main open problems within the theory of conservation laws in one space dimension, which cannot be tackled relying on the techniques developed in the case where the viscosity matrix is the identity. Furthermore, this represents a first step toward the analysis of more complex relaxation and kinetic models with a finite number of velocities as for Broadwell equation, or with a continuous distribution of velocities as for Boltzmann equation. A second research topic concerns the study of conservation laws with large data. Even in this case the basic model is provided by fluidodynamic equations. We wish to extend the results of existence, uniqueness and continuous dependence of solutions to the case of large (in BV or in L^infty) data, at least for the simplest systems of mathematical physics such as the isentropic gas dynamics. A third research topic that we wish to pursue concerns the analysis of fine properties of solutions to conservation laws. Many of such properties depend on the existence of one or more entropies of the system. In particular, we have in mind to study the regularity and the concentration of the dissipativity measure for an entropic solution of a system of conservation laws. Finally, we wish to continue the study of hyperbolic equations from the control theory point of view along two directions: (i) the analysis of controllability and asymptotic stabilizability properties; (ii) the study of optimal control problems related to hyperbolic systems.
Summary
The research program concerns various theoretic aspects of hyperbolic conservation laws. In first place we plan to study the existence and uniqueness of solutions to systems of equations of mathematical physics with physic viscosity. This is one of the main open problems within the theory of conservation laws in one space dimension, which cannot be tackled relying on the techniques developed in the case where the viscosity matrix is the identity. Furthermore, this represents a first step toward the analysis of more complex relaxation and kinetic models with a finite number of velocities as for Broadwell equation, or with a continuous distribution of velocities as for Boltzmann equation. A second research topic concerns the study of conservation laws with large data. Even in this case the basic model is provided by fluidodynamic equations. We wish to extend the results of existence, uniqueness and continuous dependence of solutions to the case of large (in BV or in L^infty) data, at least for the simplest systems of mathematical physics such as the isentropic gas dynamics. A third research topic that we wish to pursue concerns the analysis of fine properties of solutions to conservation laws. Many of such properties depend on the existence of one or more entropies of the system. In particular, we have in mind to study the regularity and the concentration of the dissipativity measure for an entropic solution of a system of conservation laws. Finally, we wish to continue the study of hyperbolic equations from the control theory point of view along two directions: (i) the analysis of controllability and asymptotic stabilizability properties; (ii) the study of optimal control problems related to hyperbolic systems.
Max ERC Funding
422 000 €
Duration
Start date: 2009-11-01, End date: 2013-10-31
Project acronym CONTACTMATH
Project Legendrian contact homology and generating families
Researcher (PI) Frédéric Bourgeois
Host Institution (HI) UNIVERSITE PARIS-SUD
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary A contact structure on an odd dimensional manifold in a maximally non integrable hyperplane field. It is the odd dimensional counterpart of a symplectic structure. Contact and symplectic topology is a recent and very active area that studies intrinsic questions about existence, (non) uniqueness and rigidity of contact and symplectic structures. It is intimately related to many other important disciplines, such as dynamical systems, singularity theory, knot theory, Morse theory, complex analysis, ... Legendrian submanifolds are a distinguished class of submanifolds in a contact manifold, which are tangent to the contact distribution. These manifolds are of a particular interest in contact topology. Important classes of Legendrian submanifolds can be described using generating families, and this description can be used to define Legendrian invariants via Morse theory. Other the other hand, Legendrian contact homology is an invariant for Legendrian submanifolds, based on holomorphic curves. The goal of this research proposal is to study the relationship between these two approaches. More precisely, we plan to show that the generating family homology and the linearized Legendrian contact homology can be defined for the same class of Legendrian submanifolds, and are isomorphic. This correspondence should be established using a parametrized version of symplectic homology, being developed by the Principal Investigator in collaboration with Oancea. Such a result would give an entirely new type of information about holomorphic curves invariants. Moreover, it can be used to obtain more general structural results on linearized Legendrian contact homology, to extend recent results on existence of Reeb chords, and to gain a much better understanding of the geography of Legendrian submanifolds.
Summary
A contact structure on an odd dimensional manifold in a maximally non integrable hyperplane field. It is the odd dimensional counterpart of a symplectic structure. Contact and symplectic topology is a recent and very active area that studies intrinsic questions about existence, (non) uniqueness and rigidity of contact and symplectic structures. It is intimately related to many other important disciplines, such as dynamical systems, singularity theory, knot theory, Morse theory, complex analysis, ... Legendrian submanifolds are a distinguished class of submanifolds in a contact manifold, which are tangent to the contact distribution. These manifolds are of a particular interest in contact topology. Important classes of Legendrian submanifolds can be described using generating families, and this description can be used to define Legendrian invariants via Morse theory. Other the other hand, Legendrian contact homology is an invariant for Legendrian submanifolds, based on holomorphic curves. The goal of this research proposal is to study the relationship between these two approaches. More precisely, we plan to show that the generating family homology and the linearized Legendrian contact homology can be defined for the same class of Legendrian submanifolds, and are isomorphic. This correspondence should be established using a parametrized version of symplectic homology, being developed by the Principal Investigator in collaboration with Oancea. Such a result would give an entirely new type of information about holomorphic curves invariants. Moreover, it can be used to obtain more general structural results on linearized Legendrian contact homology, to extend recent results on existence of Reeb chords, and to gain a much better understanding of the geography of Legendrian submanifolds.
Max ERC Funding
710 000 €
Duration
Start date: 2009-11-01, End date: 2014-10-31
Project acronym COTOFLEXI
Project Computational Modelling, Topological Optimization and Design of Flexoelectric Nano Energy Harvesters
Researcher (PI) Xiaoying ZHUANG
Host Institution (HI) GOTTFRIED WILHELM LEIBNIZ UNIVERSITAET HANNOVER
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Flexoelectricity is the generation of electric polarization under mechanical strain gradient or mechanical deformation due to the electric field gradient (converse flexo). It is a more general phenomenon than the linear change in polarization due to stress, the piezoelectric effect. Flexoelectricity exists in a wider range of centrosymmetric materials especially nontoxic materials useful for biomedical application. It grows dominantly in energy density at submicro- or nanoscale enabling self-powered nano devices such as body implants and small-scale wireless sensors. Among the emerging applications of flexoelectricity, energy harvesters are the basic front devices of wide technological impact. Despite the advantages offered by flexoelectricity, research in this field is still in germination. Experiments are limited in measuring, explaining and quantifying some key phenomena. Materials engineering and engineering of strain are the key challenges to bring energy harvesting structures/systems to become a viable technology. Accomplishment of this task pressingly requires a robust modelling tool that can assist the development of flexoelectric energy harvesters. Hence, the aim of the project is to develop a computational framework to support the characterization, design, virtual testing and optimization of the next generation nano energy harvesters. It will be able to (1) predict the energy conversion efficiency and output voltage influenced by layout and surface effects of structures in 3D, (2) to virtually test the performance with various vibrational dynamic conditions, and (3) to break through current designs of simple geometry for flexoelectric structures by optimization considering manufacturing constraints. Innovative metamaterial/3D folding energy harvesters expectantly outperforming current piezoelectric energy harvesters of the same size will be manufactured and tested.
Summary
Flexoelectricity is the generation of electric polarization under mechanical strain gradient or mechanical deformation due to the electric field gradient (converse flexo). It is a more general phenomenon than the linear change in polarization due to stress, the piezoelectric effect. Flexoelectricity exists in a wider range of centrosymmetric materials especially nontoxic materials useful for biomedical application. It grows dominantly in energy density at submicro- or nanoscale enabling self-powered nano devices such as body implants and small-scale wireless sensors. Among the emerging applications of flexoelectricity, energy harvesters are the basic front devices of wide technological impact. Despite the advantages offered by flexoelectricity, research in this field is still in germination. Experiments are limited in measuring, explaining and quantifying some key phenomena. Materials engineering and engineering of strain are the key challenges to bring energy harvesting structures/systems to become a viable technology. Accomplishment of this task pressingly requires a robust modelling tool that can assist the development of flexoelectric energy harvesters. Hence, the aim of the project is to develop a computational framework to support the characterization, design, virtual testing and optimization of the next generation nano energy harvesters. It will be able to (1) predict the energy conversion efficiency and output voltage influenced by layout and surface effects of structures in 3D, (2) to virtually test the performance with various vibrational dynamic conditions, and (3) to break through current designs of simple geometry for flexoelectric structures by optimization considering manufacturing constraints. Innovative metamaterial/3D folding energy harvesters expectantly outperforming current piezoelectric energy harvesters of the same size will be manufactured and tested.
Max ERC Funding
1 499 938 €
Duration
Start date: 2019-08-01, End date: 2024-07-31
Project acronym CRYSTENG-MOF-MMM
Project Crystal Engineering of Metal Organic Frameworks for application in Mixed Matrix Membranes
Researcher (PI) Jorge Gascon Sabate
Host Institution (HI) TECHNISCHE UNIVERSITEIT DELFT
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary With this proposal, I seek to develop the gas separating membranes of the future. The overall aim is to produce composite membranes comprising engineered Metal Organic Framework (MOF) particles and polymers in the form of Mixed Matrix Membranes (MMMs). By applying these new membranes, energetically more efficient separations will be possible.
Despite the superior performance of membranes only based on crystalline materials like zeolites or MOFs, polymeric membranes rule the commercial scene thanks to their easy processing, high reproducibility and mechanical strength. However, the existing polymeric membrane materials are not optimal: improvements in permeability are always at the expense of selectivity and vice versa, while plasticization threatens their application at high pressures. This research aims at utilizing the best of both fields by combining the high selectivity of MOFs with the easy processing of polymers in the form of Mixed Matrix Membranes.
The main barrier to achieve this goal is the optimization of the MOF-polymer interaction and mass transport through the composite. This is very challenging because chemical compatibility, particle morphology and filler dispersion play a key role. Innovatively the project will be the first systematic study into this multi-scale phenomenon with investigations at all relevant interactions, including MOF particle tuning targeting the application in MMMs.
A thorough study on the synthesis of the selected MOF structures and on the performance of the composites will allow engineering MOFs at the molecular and particle levels, resulting in higher selectivity and faster transport. The use of flexible MOF structures will not only allow a better membrane processing but will also reduce polymer plasticization.
This research will deliver a new generation of mixed matrix membranes, outperforming the state of the art polymeric membranes.
Summary
With this proposal, I seek to develop the gas separating membranes of the future. The overall aim is to produce composite membranes comprising engineered Metal Organic Framework (MOF) particles and polymers in the form of Mixed Matrix Membranes (MMMs). By applying these new membranes, energetically more efficient separations will be possible.
Despite the superior performance of membranes only based on crystalline materials like zeolites or MOFs, polymeric membranes rule the commercial scene thanks to their easy processing, high reproducibility and mechanical strength. However, the existing polymeric membrane materials are not optimal: improvements in permeability are always at the expense of selectivity and vice versa, while plasticization threatens their application at high pressures. This research aims at utilizing the best of both fields by combining the high selectivity of MOFs with the easy processing of polymers in the form of Mixed Matrix Membranes.
The main barrier to achieve this goal is the optimization of the MOF-polymer interaction and mass transport through the composite. This is very challenging because chemical compatibility, particle morphology and filler dispersion play a key role. Innovatively the project will be the first systematic study into this multi-scale phenomenon with investigations at all relevant interactions, including MOF particle tuning targeting the application in MMMs.
A thorough study on the synthesis of the selected MOF structures and on the performance of the composites will allow engineering MOFs at the molecular and particle levels, resulting in higher selectivity and faster transport. The use of flexible MOF structures will not only allow a better membrane processing but will also reduce polymer plasticization.
This research will deliver a new generation of mixed matrix membranes, outperforming the state of the art polymeric membranes.
Max ERC Funding
1 467 510 €
Duration
Start date: 2013-09-01, End date: 2018-08-31
Project acronym CURVATURE
Project Optimal transport techniques in the geometric analysis of spaces with curvature bounds
Researcher (PI) Andrea MONDINO
Host Institution (HI) THE UNIVERSITY OF WARWICK
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary The unifying goal of the CURVATURE project is to develop new strategies and tools in order to attack fundamental questions in the theory of smooth and non-smooth spaces satisfying (mainly Ricci or sectional) curvature restrictions/bounds.
The program involves analysis and geometry, with strong connections to probability and mathematical physics. The problems will be attacked by an innovative merging of geometric analysis and optimal transport techniques that already enabled the PI and collaborators to solve important open questions in the field.
The project is composed of three inter-connected themes:
Theme I investigates the structure of non smooth spaces with Ricci curvature bounded below and their link with
Alexandrov geometry. The goal of this theme is two-fold: on the one hand get a refined structural picture of
non-smooth spaces with Ricci curvature lower bounds, on the other hand apply the new methods to make progress in some long-standing open problems in Alexandrov geometry.
Theme II aims to achieve a unified treatment of geometric and functional inequalities for both smooth and
non-smooth, finite and infinite dimensional spaces satisfying Ricci curvature lower bounds. The approach
will be used also to establish new quantitative versions of classical geometric/functional inequalities for smooth Riemannian manifolds and to make progress in long standing open problems for both Riemannian and sub-Riemannian manifolds.
Theme III will investigate optimal transport in a Lorentzian setting, where the Ricci curvature plays a key
role in Einstein's equations of general relativity.
The three themes together will yield a unique unifying insight of smooth and non-smooth structures with curvature bounds.
Summary
The unifying goal of the CURVATURE project is to develop new strategies and tools in order to attack fundamental questions in the theory of smooth and non-smooth spaces satisfying (mainly Ricci or sectional) curvature restrictions/bounds.
The program involves analysis and geometry, with strong connections to probability and mathematical physics. The problems will be attacked by an innovative merging of geometric analysis and optimal transport techniques that already enabled the PI and collaborators to solve important open questions in the field.
The project is composed of three inter-connected themes:
Theme I investigates the structure of non smooth spaces with Ricci curvature bounded below and their link with
Alexandrov geometry. The goal of this theme is two-fold: on the one hand get a refined structural picture of
non-smooth spaces with Ricci curvature lower bounds, on the other hand apply the new methods to make progress in some long-standing open problems in Alexandrov geometry.
Theme II aims to achieve a unified treatment of geometric and functional inequalities for both smooth and
non-smooth, finite and infinite dimensional spaces satisfying Ricci curvature lower bounds. The approach
will be used also to establish new quantitative versions of classical geometric/functional inequalities for smooth Riemannian manifolds and to make progress in long standing open problems for both Riemannian and sub-Riemannian manifolds.
Theme III will investigate optimal transport in a Lorentzian setting, where the Ricci curvature plays a key
role in Einstein's equations of general relativity.
The three themes together will yield a unique unifying insight of smooth and non-smooth structures with curvature bounds.
Max ERC Funding
1 256 221 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym DEFTPORE
Project Deformation control on flow and transport in soft porous media
Researcher (PI) Christopher MacMinn
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Fluid flows through soft porous media are ubiquitous across nature and industry, from methane bubbles rising through lakebed and seabed sediments to nutrient transport in living cells and tissues to the manufacturing of paper products and many composites. Despite their ubiquity, flow and transport in these systems remain at the frontier of our ability to measure and model. A defining feature of soft porous media is that they can experience deformations that transform the pore structure. This has profound implications for the transport and mixing of solutes and the simultaneous flow of multiple fluid phases, both of which are strongly coupled to the pore structure. The goal of this project is to shed new light on flow and transport in soft porous media by studying a series of three canonical flow problems (tracer transport, miscible viscous fingering, and two-phase flow) across soft adaptations of three classical model systems (a soft-walled Hele Shaw cell, a quasi-2D packing of soft beads, and a cylindrical 3D “core” of soft beads). These flow problems and model systems have been thoroughly studied in the context of stiff porous media, allowing us to leverage decades of previous work and focus exclusively on the new behaviour introduced by “softness”. We will collect an extensive set of new, high-resolution experimental observations in each of these model systems, and we will reconcile these observations with mathematical models based on the traditional approach of upscaled constitutive functions. By updating this traditional approach to account for deformation, we will provide a new, pragmatic class of continuum models that capture the leading-order features of flow and transport in soft porous media. Our results will jumpstart the field of flow and transport in soft porous media, breaking open a vast new realm of research questions and applications around understanding, predicting, and controlling these complex systems.
Summary
Fluid flows through soft porous media are ubiquitous across nature and industry, from methane bubbles rising through lakebed and seabed sediments to nutrient transport in living cells and tissues to the manufacturing of paper products and many composites. Despite their ubiquity, flow and transport in these systems remain at the frontier of our ability to measure and model. A defining feature of soft porous media is that they can experience deformations that transform the pore structure. This has profound implications for the transport and mixing of solutes and the simultaneous flow of multiple fluid phases, both of which are strongly coupled to the pore structure. The goal of this project is to shed new light on flow and transport in soft porous media by studying a series of three canonical flow problems (tracer transport, miscible viscous fingering, and two-phase flow) across soft adaptations of three classical model systems (a soft-walled Hele Shaw cell, a quasi-2D packing of soft beads, and a cylindrical 3D “core” of soft beads). These flow problems and model systems have been thoroughly studied in the context of stiff porous media, allowing us to leverage decades of previous work and focus exclusively on the new behaviour introduced by “softness”. We will collect an extensive set of new, high-resolution experimental observations in each of these model systems, and we will reconcile these observations with mathematical models based on the traditional approach of upscaled constitutive functions. By updating this traditional approach to account for deformation, we will provide a new, pragmatic class of continuum models that capture the leading-order features of flow and transport in soft porous media. Our results will jumpstart the field of flow and transport in soft porous media, breaking open a vast new realm of research questions and applications around understanding, predicting, and controlling these complex systems.
Max ERC Funding
1 482 862 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym DROPCELLARRAY
Project DropletMicroarrays: Ultra High-Throughput Screening of Cells in 3D Microenvironments
Researcher (PI) Pavel Levkin
Host Institution (HI) KARLSRUHER INSTITUT FUER TECHNOLOGIE
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary High-throughput (HT) screening of live cells is crucial to accelerate both fundamental biological research and discovery of new drugs. Current methods for HT cell screenings, however, either require a large number of microplates, are prone to cross-contaminations and are limited to adherent cells (cell microarrays), or are not compatible with adherent cells as well as with spatial indexing (droplet microfluidics). We recently demonstrated the use of superhydrophobic-superhydrophilic microarrays to create high-density arrays of microdroplets or hydrogel micropads. We propose here to develop a new platform for HT cell screening experiments using the unique properties of the superhydrophilic microarrays separated by superhydrophobic thin barriers. The new technology will allow us to perform up to 300K cell experiments in parallel using a single chip. Individual cell experiments will be performed in thousands of completely isolated microdroplet at defined locations on the chip. This will enable spatial indexing, time-lapse measurements and screening of either adherent or non-adherent cells. Parallel manipulations within individual microreservoirs, such as washing, addition of chemical libraries, or staining will be developed to open new possibilities in the field of live cell studies. Superhydrophobic barriers will allow complete isolation of the microreservoirs, thus preventing cross-contamination and cell migration. We will also develop a technology for the HT screening of cells in 3D hydrogel micropads. We will use these methods to gain better understanding of how different parameters of the 3D cell microenvironment influence various aspects of cell behavior. The project will require the development of new technological tools which can later be applied to a wide range of cell screening experiments and biological problems. Our long term aim is to replace the outdated microplate technology with a more powerful and convenient method for cell screening experiments.
Summary
High-throughput (HT) screening of live cells is crucial to accelerate both fundamental biological research and discovery of new drugs. Current methods for HT cell screenings, however, either require a large number of microplates, are prone to cross-contaminations and are limited to adherent cells (cell microarrays), or are not compatible with adherent cells as well as with spatial indexing (droplet microfluidics). We recently demonstrated the use of superhydrophobic-superhydrophilic microarrays to create high-density arrays of microdroplets or hydrogel micropads. We propose here to develop a new platform for HT cell screening experiments using the unique properties of the superhydrophilic microarrays separated by superhydrophobic thin barriers. The new technology will allow us to perform up to 300K cell experiments in parallel using a single chip. Individual cell experiments will be performed in thousands of completely isolated microdroplet at defined locations on the chip. This will enable spatial indexing, time-lapse measurements and screening of either adherent or non-adherent cells. Parallel manipulations within individual microreservoirs, such as washing, addition of chemical libraries, or staining will be developed to open new possibilities in the field of live cell studies. Superhydrophobic barriers will allow complete isolation of the microreservoirs, thus preventing cross-contamination and cell migration. We will also develop a technology for the HT screening of cells in 3D hydrogel micropads. We will use these methods to gain better understanding of how different parameters of the 3D cell microenvironment influence various aspects of cell behavior. The project will require the development of new technological tools which can later be applied to a wide range of cell screening experiments and biological problems. Our long term aim is to replace the outdated microplate technology with a more powerful and convenient method for cell screening experiments.
Max ERC Funding
1 499 820 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym DYNRIGDIOPHGEOM
Project Dynamics of Large Group Actions, Rigidity, and Diophantine Geometry
Researcher (PI) Oleksandr Gorodnyk
Host Institution (HI) UNIVERSITY OF BRISTOL
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary In our project we address several fundamental questions regarding ergodic-theoretical properties of actions of large groups. The problems that we plan to tackle are not only of central importance in the abstract theory of dynamical systems, but they also lead to solutions of a number of open questions in Diophantine geometry such as the Batyrev--Manin and Peyre conjectures on the asymptotics and the distribution of rational points on algebraic varieties, a generalisation of the Oppenheim conjecture on distribution of values of polynomial functions, a generalisation of Khinchin and Dirichlet theorems on Diophantine approximation in the setting of homogeneous varieties, and estimates on the number of integral points (with almost prime coordinates satisfying polynomial and congruence equations. The proposed research is expected to imply profound connections between diverse areas of mathematics simultaneously enriching each of them. For instance, we expect to establish a precise relation between the generalised Ramanujan conjecture in the theory of automorphic forms and the order of Diophantine approximation on algebraic varieties. We also plan to use our results on counting lattice points to derive estimates on multiplicities of automorphic representations and prove results in direction of Sarnak's density hypothesis. We investigate the problem of distribution of orbits, raised by Arnold and Krylov in sixties, the problem of multiple recurrence, pioneered by Furstenberg in seventies, and the problem of rigidity of group actions, formulated by Zimmer in eighties. We plan to compute the asymptotic distribution of orbits for actions on general homogeneous spaces, to establish multiple recurrence for large classes of actions of nonamenable groups, to prove isomorphism and factor rigidity of homogeneous actions and rigidity of actions under perturbations.
Summary
In our project we address several fundamental questions regarding ergodic-theoretical properties of actions of large groups. The problems that we plan to tackle are not only of central importance in the abstract theory of dynamical systems, but they also lead to solutions of a number of open questions in Diophantine geometry such as the Batyrev--Manin and Peyre conjectures on the asymptotics and the distribution of rational points on algebraic varieties, a generalisation of the Oppenheim conjecture on distribution of values of polynomial functions, a generalisation of Khinchin and Dirichlet theorems on Diophantine approximation in the setting of homogeneous varieties, and estimates on the number of integral points (with almost prime coordinates satisfying polynomial and congruence equations. The proposed research is expected to imply profound connections between diverse areas of mathematics simultaneously enriching each of them. For instance, we expect to establish a precise relation between the generalised Ramanujan conjecture in the theory of automorphic forms and the order of Diophantine approximation on algebraic varieties. We also plan to use our results on counting lattice points to derive estimates on multiplicities of automorphic representations and prove results in direction of Sarnak's density hypothesis. We investigate the problem of distribution of orbits, raised by Arnold and Krylov in sixties, the problem of multiple recurrence, pioneered by Furstenberg in seventies, and the problem of rigidity of group actions, formulated by Zimmer in eighties. We plan to compute the asymptotic distribution of orbits for actions on general homogeneous spaces, to establish multiple recurrence for large classes of actions of nonamenable groups, to prove isomorphism and factor rigidity of homogeneous actions and rigidity of actions under perturbations.
Max ERC Funding
630 000 €
Duration
Start date: 2010-02-01, End date: 2016-01-31
Project acronym E-DNA-T-PEP
Project Engineering DNA transfer into Cells by Precision in Electroporation
Researcher (PI) Pouyan Boukany
Host Institution (HI) TECHNISCHE UNIVERSITEIT DELFT
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary The proposal aims to understand and control the transport of DNA in electroporation process at the molecular/subcellular level such that more efficient and safer non-viral gene delivery can be achieved. The introduction of naked DNA into living cell via non-viral routes is the safest approach in gene therapy. Electroporation is the electrical disruption of biological membranes to introduce naked DNA into the cell. Due to our lack of information about fundamentals of electropores formation and DNA electrotransfer, electroporation methods still suffer from low transfection efficiency, random uptake and excessive cell damage.
The main barriers to achieving this goal are: i) understanding the creation of electropores at molecular level; ii) understanding the underlying mechanism of DNA transport across the membrane of a cell during and after electric pulses and iii) controlling the electrotransfer of DNA through these pores into a cell at molecular level. It is almost impossible to overcome these barriers based on our current rudimentary understanding of cell electroporation.
The successful outcome of this project will significantly aid the development of gene delivery into living cells, which will lead to electroporation-based therapies in the near future.To this end, I will apply a multidisciplinary approach, combining disciplines as physical chemistry, transport phenomena, DNA dynamics, biophysics and cell biology. To unveil the entire electroporation process, innovatively I will employ the integrated atomic force microscopy with micro/nanofluidics to visualize the evolution of pore size/density at the membrane level. Furthermore, to understand the DNA electrotransfer, I will study how DNA interacts with electropores and moves through them using optical tweezers and single-molecule FRET. Finally, I will dissect the role of cytoskeleton on the transport of DNA, by mapping out the relationship between the viscoelasticity of cell and location of DNA inside the cell.
Summary
The proposal aims to understand and control the transport of DNA in electroporation process at the molecular/subcellular level such that more efficient and safer non-viral gene delivery can be achieved. The introduction of naked DNA into living cell via non-viral routes is the safest approach in gene therapy. Electroporation is the electrical disruption of biological membranes to introduce naked DNA into the cell. Due to our lack of information about fundamentals of electropores formation and DNA electrotransfer, electroporation methods still suffer from low transfection efficiency, random uptake and excessive cell damage.
The main barriers to achieving this goal are: i) understanding the creation of electropores at molecular level; ii) understanding the underlying mechanism of DNA transport across the membrane of a cell during and after electric pulses and iii) controlling the electrotransfer of DNA through these pores into a cell at molecular level. It is almost impossible to overcome these barriers based on our current rudimentary understanding of cell electroporation.
The successful outcome of this project will significantly aid the development of gene delivery into living cells, which will lead to electroporation-based therapies in the near future.To this end, I will apply a multidisciplinary approach, combining disciplines as physical chemistry, transport phenomena, DNA dynamics, biophysics and cell biology. To unveil the entire electroporation process, innovatively I will employ the integrated atomic force microscopy with micro/nanofluidics to visualize the evolution of pore size/density at the membrane level. Furthermore, to understand the DNA electrotransfer, I will study how DNA interacts with electropores and moves through them using optical tweezers and single-molecule FRET. Finally, I will dissect the role of cytoskeleton on the transport of DNA, by mapping out the relationship between the viscoelasticity of cell and location of DNA inside the cell.
Max ERC Funding
1 481 410 €
Duration
Start date: 2013-10-01, End date: 2018-09-30
Project acronym EC
Project Extremal Combinatorics
Researcher (PI) Peter Keevash
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary Combinatorics forms a challenging and fundamental part of pure mathematics, but is in the happy position of being relatively accessible to a wider audience. One of its most exciting and rapidly developing branches is Extremal Combinatorics, which has a wide range of direct applications both to other areas of mathematics and other academic disciplines. Thus it makes its influence felt indirectly when the theoretical power it brings to these disciplines is in turn used for more practical applications. The proposed project addresses a range of important problems at the frontier of Extremal Combinatorics, principally those motivated by a question of Turan, an open problem that mathematicians have battled with for over sixty years, which has led to many developments in the theory of graphs and hypergraphs. Recently there has been a lot of progress in this area, so it is an exciting topic for future research. The PI has identified some key intermediate goals to pursue for this first objective, and also for a second objective involving various ways to extend the scope of this area, including a rainbow variant that has impressive potential applications in additive number theory. A third area being studied is the theory of set systems with restricted intersections, which has a rich history in combinatorics, and has also found applications to computer science, particular in the theories of complexity and communication. It is also closely connected to the concepts of trace and VC-dimension, which play a central role in many areas of statistics, discrete and computational geometry and learning theory. The PI will co-ordinate a research team of two postdocs and one doctoral student with clearly defined goals that will bring this project to fruition over a five-year period.
Summary
Combinatorics forms a challenging and fundamental part of pure mathematics, but is in the happy position of being relatively accessible to a wider audience. One of its most exciting and rapidly developing branches is Extremal Combinatorics, which has a wide range of direct applications both to other areas of mathematics and other academic disciplines. Thus it makes its influence felt indirectly when the theoretical power it brings to these disciplines is in turn used for more practical applications. The proposed project addresses a range of important problems at the frontier of Extremal Combinatorics, principally those motivated by a question of Turan, an open problem that mathematicians have battled with for over sixty years, which has led to many developments in the theory of graphs and hypergraphs. Recently there has been a lot of progress in this area, so it is an exciting topic for future research. The PI has identified some key intermediate goals to pursue for this first objective, and also for a second objective involving various ways to extend the scope of this area, including a rainbow variant that has impressive potential applications in additive number theory. A third area being studied is the theory of set systems with restricted intersections, which has a rich history in combinatorics, and has also found applications to computer science, particular in the theories of complexity and communication. It is also closely connected to the concepts of trace and VC-dimension, which play a central role in many areas of statistics, discrete and computational geometry and learning theory. The PI will co-ordinate a research team of two postdocs and one doctoral student with clearly defined goals that will bring this project to fruition over a five-year period.
Max ERC Funding
780 000 €
Duration
Start date: 2010-01-01, End date: 2015-12-31
Project acronym EffectiveTG
Project Effective Methods in Tame Geometry and Applications in Arithmetic and Dynamics
Researcher (PI) Gal BINYAMINI
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary Tame geometry studies structures in which every definable set has a
finite geometric complexity. The study of tame geometry spans several
interrelated mathematical fields, including semialgebraic,
subanalytic, and o-minimal geometry. The past decade has seen the
emergence of a spectacular link between tame geometry and arithmetic
following the discovery of the fundamental Pila-Wilkie counting
theorem and its applications in unlikely diophantine
intersections. The P-W theorem itself relies crucially on the
Yomdin-Gromov theorem, a classical result of tame geometry with
fundamental applications in smooth dynamics.
It is natural to ask whether the complexity of a tame set can be
estimated effectively in terms of the defining formulas. While a large
body of work is devoted to answering such questions in the
semialgebraic case, surprisingly little is known concerning more
general tame structures - specifically those needed in recent
applications to arithmetic. The nature of the link between tame
geometry and arithmetic is such that any progress toward effectivizing
the theory of tame structures will likely lead to effective results
in the domain of unlikely intersections. Similarly, a more effective
version of the Yomdin-Gromov theorem is known to imply important
consequences in smooth dynamics.
The proposed research will approach effectivity in tame geometry from
a fundamentally new direction, bringing to bear methods from the
theory of differential equations which have until recently never been
used in this context. Toward this end, our key goals will be to gain
insight into the differential algebraic and complex analytic structure
of tame sets; and to apply this insight in combination with results
from the theory of differential equations to effectivize key results
in tame geometry and its applications to arithmetic and dynamics. I
believe that my preliminary work in this direction amply demonstrates
the feasibility and potential of this approach.
Summary
Tame geometry studies structures in which every definable set has a
finite geometric complexity. The study of tame geometry spans several
interrelated mathematical fields, including semialgebraic,
subanalytic, and o-minimal geometry. The past decade has seen the
emergence of a spectacular link between tame geometry and arithmetic
following the discovery of the fundamental Pila-Wilkie counting
theorem and its applications in unlikely diophantine
intersections. The P-W theorem itself relies crucially on the
Yomdin-Gromov theorem, a classical result of tame geometry with
fundamental applications in smooth dynamics.
It is natural to ask whether the complexity of a tame set can be
estimated effectively in terms of the defining formulas. While a large
body of work is devoted to answering such questions in the
semialgebraic case, surprisingly little is known concerning more
general tame structures - specifically those needed in recent
applications to arithmetic. The nature of the link between tame
geometry and arithmetic is such that any progress toward effectivizing
the theory of tame structures will likely lead to effective results
in the domain of unlikely intersections. Similarly, a more effective
version of the Yomdin-Gromov theorem is known to imply important
consequences in smooth dynamics.
The proposed research will approach effectivity in tame geometry from
a fundamentally new direction, bringing to bear methods from the
theory of differential equations which have until recently never been
used in this context. Toward this end, our key goals will be to gain
insight into the differential algebraic and complex analytic structure
of tame sets; and to apply this insight in combination with results
from the theory of differential equations to effectivize key results
in tame geometry and its applications to arithmetic and dynamics. I
believe that my preliminary work in this direction amply demonstrates
the feasibility and potential of this approach.
Max ERC Funding
1 155 027 €
Duration
Start date: 2018-09-01, End date: 2023-08-31
Project acronym EFMA
Project Equidistribution, fractal measures and arithmetic
Researcher (PI) Peter Pal VARJU
Host Institution (HI) THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary The subject of this proposal lies at the crossroads of analysis, additive combinatorics, number theory and fractal geometry exploring equidistribution phenomena for random walks on groups and group actions and regularity properties of self-similar, self-affine and Furstenberg boundary measures and other kinds of stationary measures. Many of the problems I will study in this project are deeply linked with problems in number theory, such as bounds for the separation between algebraic numbers, Lehmer's conjecture and irreducibility of polynomials.
The central aim of the project is to gain insight into and eventually resolve problems in several main directions including the following. I will address the main challenges that remain in our understanding of the spectral gap of averaging operators on finite groups and Lie groups and I will study the applications of such estimates. I will build on the dramatic recent progress on a problem of Erdos from 1939 regarding Bernoulli convolutions. I will also investigate other families of fractal measures. I will examine the arithmetic properties (such as irreducibility and their Galois groups) of generic polynomials with bounded coefficients and in other related families of polynomials.
While these lines of research may seem unrelated, both the problems and the methods I propose to study them are deeply connected.
Summary
The subject of this proposal lies at the crossroads of analysis, additive combinatorics, number theory and fractal geometry exploring equidistribution phenomena for random walks on groups and group actions and regularity properties of self-similar, self-affine and Furstenberg boundary measures and other kinds of stationary measures. Many of the problems I will study in this project are deeply linked with problems in number theory, such as bounds for the separation between algebraic numbers, Lehmer's conjecture and irreducibility of polynomials.
The central aim of the project is to gain insight into and eventually resolve problems in several main directions including the following. I will address the main challenges that remain in our understanding of the spectral gap of averaging operators on finite groups and Lie groups and I will study the applications of such estimates. I will build on the dramatic recent progress on a problem of Erdos from 1939 regarding Bernoulli convolutions. I will also investigate other families of fractal measures. I will examine the arithmetic properties (such as irreducibility and their Galois groups) of generic polynomials with bounded coefficients and in other related families of polynomials.
While these lines of research may seem unrelated, both the problems and the methods I propose to study them are deeply connected.
Max ERC Funding
1 334 109 €
Duration
Start date: 2018-10-01, End date: 2023-09-30
Project acronym ELECTROCHEMBOTS
Project MAGNETOELECTRIC CHEMONANOROBOTICS FOR CHEMICAL AND BIOMEDICAL APPLICATIONS
Researcher (PI) Salvador Pané Vidal
Host Institution (HI) EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary "The ability to generate electric fields at small scales is becoming increasingly important in many fields of research including plasmonics-based sensing, micro- and nanofabrication, microfluidics and spintronics. The localized generation of electrical fields at extremely small scales has the potential to revolutionize conventional methods of electrically stimulating cells. The objective of this proposal is the development of miniaturized untethered devices capable of delivering electric currents to cells for the stimulation of their vital functions. To this end, we propose the construction of micro- and nanoscale magnetoelectric structures that can be triggered using external magnetic fields. These small devices will consist of composite hybrid structures containing piezoelectric and magnetostrictive layers. By applying an oscillating magnetic field in the presence of a DC bias field, the magnetostrictive element will deform, thereby generating stress in a piezoelectric shell, which in turn will become electrically polarized. Small devices capable of wirelessly generating electric fields offer an innovative way of studying the electrical and electrochemical stimulation of cells. For example, by concentrating electric fields at specific locations in a cell, the behavior of protein membrane components such as cell adhesion molecules or transport proteins can be altered to modulate the stiction of proliferating cells or ion channel gating kinetics."
Summary
"The ability to generate electric fields at small scales is becoming increasingly important in many fields of research including plasmonics-based sensing, micro- and nanofabrication, microfluidics and spintronics. The localized generation of electrical fields at extremely small scales has the potential to revolutionize conventional methods of electrically stimulating cells. The objective of this proposal is the development of miniaturized untethered devices capable of delivering electric currents to cells for the stimulation of their vital functions. To this end, we propose the construction of micro- and nanoscale magnetoelectric structures that can be triggered using external magnetic fields. These small devices will consist of composite hybrid structures containing piezoelectric and magnetostrictive layers. By applying an oscillating magnetic field in the presence of a DC bias field, the magnetostrictive element will deform, thereby generating stress in a piezoelectric shell, which in turn will become electrically polarized. Small devices capable of wirelessly generating electric fields offer an innovative way of studying the electrical and electrochemical stimulation of cells. For example, by concentrating electric fields at specific locations in a cell, the behavior of protein membrane components such as cell adhesion molecules or transport proteins can be altered to modulate the stiction of proliferating cells or ion channel gating kinetics."
Max ERC Funding
1 491 701 €
Duration
Start date: 2013-09-01, End date: 2018-08-31
Project acronym EllipticPDE
Project Regularity and singularities in elliptic PDE's: beyond monotonicity formulas
Researcher (PI) Xavier ROS-OTON
Host Institution (HI) UNIVERSITAT ZURICH
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary One of the oldest and most important questions in PDE theory is that of regularity. A classical example is Hilbert's XIXth problem (1900), solved by De Giorgi and Nash in 1956. During the second half of the XXth century, the regularity theory for elliptic and parabolic PDE's experienced a huge development, and many fundamental questions were answered by Caffarelli, Nirenberg, Krylov, Evans, Nadirashvili, Friedman, and many others. Still, there are problems of crucial importance that remain open.
The aim of this project is to go significantly beyond the state of the art in some of the most important open questions in this context. In particular, three key objectives of the project are the following. First, to introduce new techniques to obtain fine description of singularities in nonlinear elliptic PDE's. Aside from its intrinsic interest, a good regularity theory for singular points is likely to provide insightful applications in other contexts. A second aim of the project is to establish generic regularity results for free boundaries and other PDE problems. The development of methods which would allow one to prove generic regularity results may be viewed as one of the greatest challenges not only for free boundary problems, but for PDE problems in general. Finally, the third main objective is to achieve a complete regularity theory for nonlinear elliptic PDE's that does not rely on monotonicity formulas. These three objectives, while seemingly different, are in fact deeply interrelated.
Summary
One of the oldest and most important questions in PDE theory is that of regularity. A classical example is Hilbert's XIXth problem (1900), solved by De Giorgi and Nash in 1956. During the second half of the XXth century, the regularity theory for elliptic and parabolic PDE's experienced a huge development, and many fundamental questions were answered by Caffarelli, Nirenberg, Krylov, Evans, Nadirashvili, Friedman, and many others. Still, there are problems of crucial importance that remain open.
The aim of this project is to go significantly beyond the state of the art in some of the most important open questions in this context. In particular, three key objectives of the project are the following. First, to introduce new techniques to obtain fine description of singularities in nonlinear elliptic PDE's. Aside from its intrinsic interest, a good regularity theory for singular points is likely to provide insightful applications in other contexts. A second aim of the project is to establish generic regularity results for free boundaries and other PDE problems. The development of methods which would allow one to prove generic regularity results may be viewed as one of the greatest challenges not only for free boundary problems, but for PDE problems in general. Finally, the third main objective is to achieve a complete regularity theory for nonlinear elliptic PDE's that does not rely on monotonicity formulas. These three objectives, while seemingly different, are in fact deeply interrelated.
Max ERC Funding
1 335 250 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym ENIGMA
Project EXPLORING NONLINEAR DYNAMICS IN GRAPHENE NANOMECHANICAL SYSTEMS
Researcher (PI) Farbod Alijani
Host Institution (HI) TECHNISCHE UNIVERSITEIT DELFT
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Micro and nanomechanical systems are being adopted in billions of products, that address a wide range of sensor and actuator applications in modern technology. The advent of graphene, and the ability to fabricate single atom thick membranes, promises further device downscaling, enabling ultimate sensing capabilities that until recently seemed utopical. But, these atomically thin membranes are in essence nonlinear and exhibit nonlinear dynamic behavior at forces of only a few pN, which needs to be understood to harness their full potential.
Although the field of nonlinear dynamics dates back several centuries, its implications at the atomic scale have remained relatively unexplored. Thermal fluctuations due to Brownian motion and nanoscale forces become dominant at this scale, and when combined with graphene’s exotic elasticity, give rise to phenomena that are not observed before, and cannot be explained by classical approaches. Our poor understanding of these complex features at the same time, have made characterization of graphene very challenging. An example is its bending modulus that is evaluated orders of magnitude higher than theoretical predications, by the available experimental methods.
In this project, I aim at providing full understanding of nonlinearities of these one atom thick membranes, not only to unveil the enigmatic behavior of graphene but also to improve current nanomaterial characterization methods. The distinguishing feature of my methodology is that on the one side, it will be based on atomistic simulations combined with modal order reduction techniques, to predict the complexities at the single atom level; on the other side, experimental nonlinear dynamic data will be analyzed for evaluating nonlinear effects and extracting material properties using nonlinear resonances in the MHz range. My methodology will have the potential to serve as the next generation of characterization techniques for nanomaterial science and nanomechanics communities.
Summary
Micro and nanomechanical systems are being adopted in billions of products, that address a wide range of sensor and actuator applications in modern technology. The advent of graphene, and the ability to fabricate single atom thick membranes, promises further device downscaling, enabling ultimate sensing capabilities that until recently seemed utopical. But, these atomically thin membranes are in essence nonlinear and exhibit nonlinear dynamic behavior at forces of only a few pN, which needs to be understood to harness their full potential.
Although the field of nonlinear dynamics dates back several centuries, its implications at the atomic scale have remained relatively unexplored. Thermal fluctuations due to Brownian motion and nanoscale forces become dominant at this scale, and when combined with graphene’s exotic elasticity, give rise to phenomena that are not observed before, and cannot be explained by classical approaches. Our poor understanding of these complex features at the same time, have made characterization of graphene very challenging. An example is its bending modulus that is evaluated orders of magnitude higher than theoretical predications, by the available experimental methods.
In this project, I aim at providing full understanding of nonlinearities of these one atom thick membranes, not only to unveil the enigmatic behavior of graphene but also to improve current nanomaterial characterization methods. The distinguishing feature of my methodology is that on the one side, it will be based on atomistic simulations combined with modal order reduction techniques, to predict the complexities at the single atom level; on the other side, experimental nonlinear dynamic data will be analyzed for evaluating nonlinear effects and extracting material properties using nonlinear resonances in the MHz range. My methodology will have the potential to serve as the next generation of characterization techniques for nanomaterial science and nanomechanics communities.
Max ERC Funding
1 422 598 €
Duration
Start date: 2018-11-01, End date: 2023-10-31
Project acronym ERGODICNONCOMPACT
Project Ergodic theory on non compact spaces
Researcher (PI) Omri Moshe Sarig
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary The proposal is to look for, and investigate, new ergodic theoretic types of behavior for dynamical systems which act on non compact spaces. These could include transience and non-trivial ways of escape to infinity, critical phenomena similar to phase transitions, and new types of measure rigidity. There are potential applications to smooth ergodic theory (non-uniform hyperbolicity), algebraic ergodic theory (actions on homogeneous spaces), and probability theory (weakly dependent stochastic processes).
Summary
The proposal is to look for, and investigate, new ergodic theoretic types of behavior for dynamical systems which act on non compact spaces. These could include transience and non-trivial ways of escape to infinity, critical phenomena similar to phase transitions, and new types of measure rigidity. There are potential applications to smooth ergodic theory (non-uniform hyperbolicity), algebraic ergodic theory (actions on homogeneous spaces), and probability theory (weakly dependent stochastic processes).
Max ERC Funding
539 479 €
Duration
Start date: 2009-10-01, End date: 2014-09-30
Project acronym FEASIBLe
Project Finding how Earthquakes And Storms Impact the Building of Landscapes
Researcher (PI) Philippe STEER
Host Institution (HI) UNIVERSITE DE RENNES I
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary Unravelling how tectonics, climate and surface processes act and interact to shape the Earth’s surface is one of the most challenging unresolved issue in Earth Sciences. The foundations of modern quantitative geomorphology have been built within the paradigm of steady-state landscapes responding to slow changes in climatic or tectonic conditions, mainly rainfall or uplift rate. Yet, recent results demonstrate that landscapes are rhythmed by (potentially extreme) storms and earthquakes. These perturbations catalyse geomorphological processes by triggering numerous landslides and lead to a prolonged and transient evolution of the landscape that dominate records of modern erosion. The FEASIBLe project therefore calls for a complete re-assessment of the role of short-term climatic and tectonic perturbations in shaping mountain landscapes and for a paradigm shift from steady-state to constantly perturbed landscapes. My ambition is to push forward our understanding of the short- to long-term dynamics of perturbed landscapes and in turn to unlock our ability to read landscapes in terms of earthquake and storm activity. To succeed in this endeavour, the FEASIBLe project will rely on the development of a new generation of landscape evolution model and of novel approaches to intimately monitor landscape heterogeneities and evolution in Taiwan, New-Zealand and Himalayas at high-resolution. The first work packages (WP1-2) will combine field-data analysis and numerical modelling to investigate landslide triggering and the post-perturbation sediment evacuation and landscape dynamics. I will then blend these elementary processes with a statistical description of climatic and tectonic perturbations in a new generation of landscape evolution model (WP3). This new model will be then applied to diagnose the geomorphological signature of fault “seismogenic” rheology (WP4) and to explore the role of post-glacial hot-moments of landscape dynamics on Quaternary landscape evolution (WP5).
Summary
Unravelling how tectonics, climate and surface processes act and interact to shape the Earth’s surface is one of the most challenging unresolved issue in Earth Sciences. The foundations of modern quantitative geomorphology have been built within the paradigm of steady-state landscapes responding to slow changes in climatic or tectonic conditions, mainly rainfall or uplift rate. Yet, recent results demonstrate that landscapes are rhythmed by (potentially extreme) storms and earthquakes. These perturbations catalyse geomorphological processes by triggering numerous landslides and lead to a prolonged and transient evolution of the landscape that dominate records of modern erosion. The FEASIBLe project therefore calls for a complete re-assessment of the role of short-term climatic and tectonic perturbations in shaping mountain landscapes and for a paradigm shift from steady-state to constantly perturbed landscapes. My ambition is to push forward our understanding of the short- to long-term dynamics of perturbed landscapes and in turn to unlock our ability to read landscapes in terms of earthquake and storm activity. To succeed in this endeavour, the FEASIBLe project will rely on the development of a new generation of landscape evolution model and of novel approaches to intimately monitor landscape heterogeneities and evolution in Taiwan, New-Zealand and Himalayas at high-resolution. The first work packages (WP1-2) will combine field-data analysis and numerical modelling to investigate landslide triggering and the post-perturbation sediment evacuation and landscape dynamics. I will then blend these elementary processes with a statistical description of climatic and tectonic perturbations in a new generation of landscape evolution model (WP3). This new model will be then applied to diagnose the geomorphological signature of fault “seismogenic” rheology (WP4) and to explore the role of post-glacial hot-moments of landscape dynamics on Quaternary landscape evolution (WP5).
Max ERC Funding
1 498 829 €
Duration
Start date: 2019-06-01, End date: 2024-05-31
Project acronym GECOMETHODS
Project Geometric control methods for heat and Schroedinger equations
Researcher (PI) Ugo Boscain
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary "The aim of this project of 5 years is to create a research group on geometric control methods in PDEs with the arrival of the PI at the CNRS Laboratoire CMAP (Centre de Mathematiques Appliquees) of the Ecole Polytechnique in Paris (in January 09). With the ERC-Starting Grant, the PI plans to hire 4 post-doc fellows, 2 PhD students and also to organize advanced research schools and workshops. One of the main purpose of this project is to facilitate the collaboration with my research group which is quite spread across France and Italy. The PI plans to develop a research group studying certain PDEs for which geometric control techniques open new horizons. More precisely the PI plans to exploit the relation between the sub-Riemannian distance and the properties of the kernel of the corresponding hypoelliptic heat equation and to study controllability properties of the Schroedinger equation. In the last years the PI has developed a net of high level international collaborations and, together with his collaborators and PhD students, has obtained many important results via a mixed combination of geometric methods in control (Hamiltonian methods, Lie group techniques, conjugate point theory, singularity theory etc.) and noncommutative Fourier analysis. This has allowed to solve open problems in the field, e.g., the definition of an intrinsic hypoelliptic Laplacian, the explicit construction of the hypoelliptic heat kernel for the most important 3D Lie groups, and the proof of the controllability of the bilinear Schroedinger equation with discrete spectrum, under some ""generic"" assumptions. Many more related questions are still open and the scope of this project is to tackle them. All subjects studied in this project have real applications: the problem of controllability of the Schroedinger equation has direct applications in Nuclear Magnetic Resonance; the problem of nonisotropic diffusion has applications in models of human vision."
Summary
"The aim of this project of 5 years is to create a research group on geometric control methods in PDEs with the arrival of the PI at the CNRS Laboratoire CMAP (Centre de Mathematiques Appliquees) of the Ecole Polytechnique in Paris (in January 09). With the ERC-Starting Grant, the PI plans to hire 4 post-doc fellows, 2 PhD students and also to organize advanced research schools and workshops. One of the main purpose of this project is to facilitate the collaboration with my research group which is quite spread across France and Italy. The PI plans to develop a research group studying certain PDEs for which geometric control techniques open new horizons. More precisely the PI plans to exploit the relation between the sub-Riemannian distance and the properties of the kernel of the corresponding hypoelliptic heat equation and to study controllability properties of the Schroedinger equation. In the last years the PI has developed a net of high level international collaborations and, together with his collaborators and PhD students, has obtained many important results via a mixed combination of geometric methods in control (Hamiltonian methods, Lie group techniques, conjugate point theory, singularity theory etc.) and noncommutative Fourier analysis. This has allowed to solve open problems in the field, e.g., the definition of an intrinsic hypoelliptic Laplacian, the explicit construction of the hypoelliptic heat kernel for the most important 3D Lie groups, and the proof of the controllability of the bilinear Schroedinger equation with discrete spectrum, under some ""generic"" assumptions. Many more related questions are still open and the scope of this project is to tackle them. All subjects studied in this project have real applications: the problem of controllability of the Schroedinger equation has direct applications in Nuclear Magnetic Resonance; the problem of nonisotropic diffusion has applications in models of human vision."
Max ERC Funding
785 000 €
Duration
Start date: 2010-05-01, End date: 2016-04-30
Project acronym GeoArchMag
Project Beyond the Holocene Geomagnetic field resolution
Researcher (PI) Ron Shaar
Host Institution (HI) THE HEBREW UNIVERSITY OF JERUSALEM
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary For decades the Holocene has been considered a flat and “boring” epoch from the standpoint of
paleomagnetism, mainly due to insufficient resolution of the available paleomagnetic data. However, recent
archaeomagnetic data have revealed that the Holocene geomagnetic field is anything but stable – presenting
puzzling intervals of extreme decadal-scale fluctuations and unexpected departures from a simple dipolar field
structure. This new information introduced an entirely new paradigm to the study of the geomagnetic field and
to a wide range of research areas relying on paleomagnetic data, such as geochronology, climate research, and
geodynamo exploration.
This proposal aims at breaking the resolution limits in paleomagnetism, and providing a continuous
time series of the geomagnetic field vector throughout the Holocene at decadal resolution and
unprecedented accuracy. To this end I will use an innovative assemblage of data sources, jointly unique to
the Levant, including rare archaeological finds, annual laminated stalagmites, varved sediments, and arid
playa deposits. Together, these sources can provide unprecedented yearly resolution, whereby the “absolute”
archaeomagnetic data can calibrate “relative” terrestrial data.
The geomagnetic data will define an innovative absolute geomagnetic chronology that will be used to
synchronize cosmogenic 10Be data and an extensive body of paleo-climatic indicators. With these in hand, I
will address four ground-breaking problems:
I) Chronology: Developing dating technique for resolving critical controversies in Levantine archaeology and
Quaternary geology.
II) Geophysics: Exploring fine-scale geodynamo features in Earth’s core from new generations of global
geomagnetic models.
III) Cosmogenics: Correlating fast geomagnetic variations with cosmogenic isotope production rate.
IV) Climate: Testing one of the most challenging controversial questions in geomagnetism: “Does the Earth's
magnetic field play a role in climate changes?”
Summary
For decades the Holocene has been considered a flat and “boring” epoch from the standpoint of
paleomagnetism, mainly due to insufficient resolution of the available paleomagnetic data. However, recent
archaeomagnetic data have revealed that the Holocene geomagnetic field is anything but stable – presenting
puzzling intervals of extreme decadal-scale fluctuations and unexpected departures from a simple dipolar field
structure. This new information introduced an entirely new paradigm to the study of the geomagnetic field and
to a wide range of research areas relying on paleomagnetic data, such as geochronology, climate research, and
geodynamo exploration.
This proposal aims at breaking the resolution limits in paleomagnetism, and providing a continuous
time series of the geomagnetic field vector throughout the Holocene at decadal resolution and
unprecedented accuracy. To this end I will use an innovative assemblage of data sources, jointly unique to
the Levant, including rare archaeological finds, annual laminated stalagmites, varved sediments, and arid
playa deposits. Together, these sources can provide unprecedented yearly resolution, whereby the “absolute”
archaeomagnetic data can calibrate “relative” terrestrial data.
The geomagnetic data will define an innovative absolute geomagnetic chronology that will be used to
synchronize cosmogenic 10Be data and an extensive body of paleo-climatic indicators. With these in hand, I
will address four ground-breaking problems:
I) Chronology: Developing dating technique for resolving critical controversies in Levantine archaeology and
Quaternary geology.
II) Geophysics: Exploring fine-scale geodynamo features in Earth’s core from new generations of global
geomagnetic models.
III) Cosmogenics: Correlating fast geomagnetic variations with cosmogenic isotope production rate.
IV) Climate: Testing one of the most challenging controversial questions in geomagnetism: “Does the Earth's
magnetic field play a role in climate changes?”
Max ERC Funding
1 786 381 €
Duration
Start date: 2018-11-01, End date: 2023-10-31
Project acronym GeopolyConc
Project Durability of geopolymers as 21st century concretes
Researcher (PI) John Lloyd Provis
Host Institution (HI) THE UNIVERSITY OF SHEFFIELD
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary GeopolyConc will provide the necessary scientific basis for the prediction of the long-term durability performance of alkali-activated ‘geopolymer’ concretes. These materials can be synthesised from industrial by-products and widely-available natural resources, and provide the opportunity for a highly significant reduction in the environmental footprint of the global construction materials industry, as it expands to meet the infrastructure needs of 21st century society. Experimental and modelling approaches will be coupled to provide major advances in the state of the art in the science and engineering of geopolymer concretes. The key scientific focus areas will be: (a) the development of the first ever rigorous mathematical description of the factors influencing the transport properties of alkali-activated concretes, and (b) ground-breaking work in understanding and controlling the factors which lead to the onset of corrosion of steel reinforcing embedded in alkali-activated concretes. This project will generate confidence in geopolymer concrete durability, which is essential to the application of these materials in reducing EU and global CO2 emissions. The GeopolyConc project will also be integrated with leading multinational collaborative test programmes coordinated through a RILEM Technical Committee (TC DTA) which is chaired by the PI, providing a route to direct international utilisation of the project outcomes.
Summary
GeopolyConc will provide the necessary scientific basis for the prediction of the long-term durability performance of alkali-activated ‘geopolymer’ concretes. These materials can be synthesised from industrial by-products and widely-available natural resources, and provide the opportunity for a highly significant reduction in the environmental footprint of the global construction materials industry, as it expands to meet the infrastructure needs of 21st century society. Experimental and modelling approaches will be coupled to provide major advances in the state of the art in the science and engineering of geopolymer concretes. The key scientific focus areas will be: (a) the development of the first ever rigorous mathematical description of the factors influencing the transport properties of alkali-activated concretes, and (b) ground-breaking work in understanding and controlling the factors which lead to the onset of corrosion of steel reinforcing embedded in alkali-activated concretes. This project will generate confidence in geopolymer concrete durability, which is essential to the application of these materials in reducing EU and global CO2 emissions. The GeopolyConc project will also be integrated with leading multinational collaborative test programmes coordinated through a RILEM Technical Committee (TC DTA) which is chaired by the PI, providing a route to direct international utilisation of the project outcomes.
Max ERC Funding
1 495 458 €
Duration
Start date: 2013-09-01, End date: 2018-08-31
Project acronym GEoREST
Project predictinG EaRthquakES induced by fluid injecTion
Researcher (PI) Victor VILARRASA
Host Institution (HI) AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Fluid injection related to underground resources has become widespread, causing numerous cases of induced seismicity. If felt, induced seismicity has a negative effect on public perception and may jeopardise wellbore stability, which has led to the cancellation of several projects. Forecasting injection-induced earthquakes is a big challenge that must be overcome to deploy geo-energies to significantly reduce CO2 emissions and thus mitigate climate change and reduce related health issues. The basic conjecture is that, while initial (micro)seisms are caused by well-known mechanisms that could be predicted, subsequent activity is caused by harder to understand and, at present, unpredictable coupled thermo-hydro-mechanical-seismic (THMS) processes, which is the reason why available models fail to forecast induced seismicity. The objective of this project is to develop a novel methodology to predict and mitigate induced seismicity. We propose an interdisciplinary approach that integrates the THMS processes that occur in the subsurface as a result of fluid injection. The methodology, based on new analytical and numerical solutions, will concentrate on (1) understanding the processes that lead to induced seismicity by model testing of specific conjectures, (2) improving and extending subsurface characterization by using industrial fluid injection operations as a long-term continuous characterization methodology, so as to reduce prediction uncertainty, and (3) using the resulting understanding and site specific knowledge to predict and mitigate induced seismicity. Project developments will be tested and verified against fluid-induced seismicity at field sites that present diverse characteristics. Arguably, the successful development of this project will provide operators with concepts and tools to perform pressure management to reduce the risk of inducing seismicity to acceptable levels and thus, improve safety and reverse public perception on fluid injection activities.
Summary
Fluid injection related to underground resources has become widespread, causing numerous cases of induced seismicity. If felt, induced seismicity has a negative effect on public perception and may jeopardise wellbore stability, which has led to the cancellation of several projects. Forecasting injection-induced earthquakes is a big challenge that must be overcome to deploy geo-energies to significantly reduce CO2 emissions and thus mitigate climate change and reduce related health issues. The basic conjecture is that, while initial (micro)seisms are caused by well-known mechanisms that could be predicted, subsequent activity is caused by harder to understand and, at present, unpredictable coupled thermo-hydro-mechanical-seismic (THMS) processes, which is the reason why available models fail to forecast induced seismicity. The objective of this project is to develop a novel methodology to predict and mitigate induced seismicity. We propose an interdisciplinary approach that integrates the THMS processes that occur in the subsurface as a result of fluid injection. The methodology, based on new analytical and numerical solutions, will concentrate on (1) understanding the processes that lead to induced seismicity by model testing of specific conjectures, (2) improving and extending subsurface characterization by using industrial fluid injection operations as a long-term continuous characterization methodology, so as to reduce prediction uncertainty, and (3) using the resulting understanding and site specific knowledge to predict and mitigate induced seismicity. Project developments will be tested and verified against fluid-induced seismicity at field sites that present diverse characteristics. Arguably, the successful development of this project will provide operators with concepts and tools to perform pressure management to reduce the risk of inducing seismicity to acceptable levels and thus, improve safety and reverse public perception on fluid injection activities.
Max ERC Funding
1 438 201 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym GLOWING
Project Spatio-temporal measurement and plasma-based control of crossflow instabilities for drag reduction
Researcher (PI) Marios Kotsonis
Host Institution (HI) TECHNISCHE UNIVERSITEIT DELFT
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Delay of laminar-turbulent flow transition on aircraft wings can potentially reduce aerodynamic drag by up to 15%, reducing emissions and fuel consumption considerably. The main cause of laminar-turbulent transition on commonly used swept wings is the development of crossflow (CF) instabilities. Despite their importance, our fundamental understanding of CF instabilities is limited due to inability of current measurement techniques to capture their complex and multi-scale spatio-temporal features. This severely limits our ability to delay CF transition, which is further impeded by the lack of simple, robust and efficient control concepts.
In this proposal I will achieve unprecedented spatio-temporal measurements of CF instabilities and develop a novel active flow control system that can successfully delay transition on swept wings. To achieve these goals, I bring forth a unique combination of cutting-edge technologies, such as tomographic particle image velocimetry, advanced plasma-based actuators and linear/non-linear stability and control theory.
Spatio-temporal volumetric velocity measurements of CF instabilities will be achieved at three important stages of their life, namely inception, growth and breakdown, providing breakthrough insights into the underlying physics of swept wing transition and turbulence production. The results will be used to postulate and validate linear and non-linear stability and control theory models and provide top benchmarks for high-fidelity CFD. The unprecedented wealth of information, enabled through these advances, will be used to design and demonstrate the first synergetic plasma-based laminar flow control system. This system will feature minimum-thickness plasma actuators, able to suppress the growth of CF instabilities and achieve and sustain considerable transition delay at high Reynolds numbers. These advances will finally enable robust and efficient laminar flow on future air transport.
Summary
Delay of laminar-turbulent flow transition on aircraft wings can potentially reduce aerodynamic drag by up to 15%, reducing emissions and fuel consumption considerably. The main cause of laminar-turbulent transition on commonly used swept wings is the development of crossflow (CF) instabilities. Despite their importance, our fundamental understanding of CF instabilities is limited due to inability of current measurement techniques to capture their complex and multi-scale spatio-temporal features. This severely limits our ability to delay CF transition, which is further impeded by the lack of simple, robust and efficient control concepts.
In this proposal I will achieve unprecedented spatio-temporal measurements of CF instabilities and develop a novel active flow control system that can successfully delay transition on swept wings. To achieve these goals, I bring forth a unique combination of cutting-edge technologies, such as tomographic particle image velocimetry, advanced plasma-based actuators and linear/non-linear stability and control theory.
Spatio-temporal volumetric velocity measurements of CF instabilities will be achieved at three important stages of their life, namely inception, growth and breakdown, providing breakthrough insights into the underlying physics of swept wing transition and turbulence production. The results will be used to postulate and validate linear and non-linear stability and control theory models and provide top benchmarks for high-fidelity CFD. The unprecedented wealth of information, enabled through these advances, will be used to design and demonstrate the first synergetic plasma-based laminar flow control system. This system will feature minimum-thickness plasma actuators, able to suppress the growth of CF instabilities and achieve and sustain considerable transition delay at high Reynolds numbers. These advances will finally enable robust and efficient laminar flow on future air transport.
Max ERC Funding
1 499 460 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym GWT
Project Gromov-Witten Theory: Mirror Symmetry, Modular Forms, and Integrable Systems
Researcher (PI) Tom Coates
Host Institution (HI) IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary The Gromov-Witten invariants of a space X record the number of curves in X of a given genus and degree which meet a given collection of cycles in X. They have important applications in algebraic geometry, symplectic geometry, and theoretical physics. The program proposed here will allow us to compute Gromov-Witten invariants, and particularly higher-genus Gromov-Witten invariants, for a very broad class of spaces. Recent progress, partly due to the Principal Investigator, has led to a greatly-improved mathematical understanding of the string-theoretic duality known as Mirror Symmetry. This allows us to compute genus-zero Gromov-Witten invariants (those where the curves involved are spheres) for a wide range of target spaces. But at the moment there are very few effective tools for computing higher-genus Gromov-Witten invariants (those where the curves involved are tori, or n-holed tori for n>1). We will solve this problem by extending mathematical Mirror Symmetry to cover this case. In doing so we will draw on and make rigorous recent insights from topological string theory. These insights have revealed close and surprising connections between Gromov-Witten theory, modular forms, and the theory of integrable systems.
Summary
The Gromov-Witten invariants of a space X record the number of curves in X of a given genus and degree which meet a given collection of cycles in X. They have important applications in algebraic geometry, symplectic geometry, and theoretical physics. The program proposed here will allow us to compute Gromov-Witten invariants, and particularly higher-genus Gromov-Witten invariants, for a very broad class of spaces. Recent progress, partly due to the Principal Investigator, has led to a greatly-improved mathematical understanding of the string-theoretic duality known as Mirror Symmetry. This allows us to compute genus-zero Gromov-Witten invariants (those where the curves involved are spheres) for a wide range of target spaces. But at the moment there are very few effective tools for computing higher-genus Gromov-Witten invariants (those where the curves involved are tori, or n-holed tori for n>1). We will solve this problem by extending mathematical Mirror Symmetry to cover this case. In doing so we will draw on and make rigorous recent insights from topological string theory. These insights have revealed close and surprising connections between Gromov-Witten theory, modular forms, and the theory of integrable systems.
Max ERC Funding
620 000 €
Duration
Start date: 2009-11-01, End date: 2015-10-31
Project acronym HIENA
Project Hierarchical Carbon Nanomaterials
Researcher (PI) Michael Franciscus Lucas De Volder
Host Institution (HI) THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary "Over the past years, carbon nanomaterial such as graphene and carbon nanotubes (CNTs) have attracted the interest of scientists, because some of their properties are unlike any other engineering material. Individual graphene sheets and CNTs have shown a Youngs Modulus of 1 TPa and a tensile strength of 100 GPa, hereby exceeding steel at only a fraction of its weight. Further, they offer high currents carrying capacities of 10^9 A/cm², and thermal conductivities up to 3500 W/mK, exceeding diamond. Importantly, these off-the-chart properties are only valid for high quality individualized nanotubes or sheets. However, most engineering applications require the assembly of tens to millions of these nanoparticles into one device. Unfortunately, the mechanical and electronic figures of merit of such assembled materials typically drop by at least an order of magnitude in comparison to the constituent nanoparticles.
In this ERC project, we aim at the development of new techniques to create structured assemblies of carbon nanoparticles. Herein we emphasize the importance of controlling hierarchical arrangement at different length scales in order to engineer the properties of the final device. The project will follow a methodical approach, bringing together different fields of expertise ranging from macro- and microscale manufacturing, to nanoscale material synthesis and mesoscale chemical surface modification. For instance, we will pursue combined top-down microfabrication and bottom-up self-assembly, accompanied with surface modification through hydrothermal processing.
This research will impact scientific understanding of how nanotubes and nanosheets interact, and will create new hierarchical assembly techniques for nanomaterials. Further, this ERC project pursues applications with high societal impact, including energy storage and water filtration. Finally, HIENA will tie relations with EU’s rich CNT industry to disseminate its technologic achievements."
Summary
"Over the past years, carbon nanomaterial such as graphene and carbon nanotubes (CNTs) have attracted the interest of scientists, because some of their properties are unlike any other engineering material. Individual graphene sheets and CNTs have shown a Youngs Modulus of 1 TPa and a tensile strength of 100 GPa, hereby exceeding steel at only a fraction of its weight. Further, they offer high currents carrying capacities of 10^9 A/cm², and thermal conductivities up to 3500 W/mK, exceeding diamond. Importantly, these off-the-chart properties are only valid for high quality individualized nanotubes or sheets. However, most engineering applications require the assembly of tens to millions of these nanoparticles into one device. Unfortunately, the mechanical and electronic figures of merit of such assembled materials typically drop by at least an order of magnitude in comparison to the constituent nanoparticles.
In this ERC project, we aim at the development of new techniques to create structured assemblies of carbon nanoparticles. Herein we emphasize the importance of controlling hierarchical arrangement at different length scales in order to engineer the properties of the final device. The project will follow a methodical approach, bringing together different fields of expertise ranging from macro- and microscale manufacturing, to nanoscale material synthesis and mesoscale chemical surface modification. For instance, we will pursue combined top-down microfabrication and bottom-up self-assembly, accompanied with surface modification through hydrothermal processing.
This research will impact scientific understanding of how nanotubes and nanosheets interact, and will create new hierarchical assembly techniques for nanomaterials. Further, this ERC project pursues applications with high societal impact, including energy storage and water filtration. Finally, HIENA will tie relations with EU’s rich CNT industry to disseminate its technologic achievements."
Max ERC Funding
1 496 379 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym HURRICANE
Project Past hurricane activity reconstructed using cave deposits: Have humans increased storm risk?
Researcher (PI) James Baldini
Host Institution (HI) UNIVERSITY OF DURHAM
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary The proposed research would utilise various geochemical proxies (oxygen, carbon, and trace elements) in cave calcite deposits (stalagmites) to develop extraordinarily high-resolution North Atlantic hurricane activity records for the past five hundred years, extending existing historical datasets by hundreds of years. This new stalagmite record would be the first high resolution record to extend beyond 1850, thus permit more statistically robust comparisons of hurricane activity between pre- and post-anthropogenic greenhouse gas climatic states, and help to constrain any natural cyclicities inherent in North Atlantic hurricane activity. Additionally, the three study sites were chosen to test the hypothesis that variations in the North Atlantic Oscillation (NAO) index may influence hurricane track direction. The records will also be used to reconstruct El Nino-Southern Oscillation variability back through time, something that on its own would be an important result. The research would help evaluate the risk of stronger/more frequent future hurricanes associated with global climate change by allowing more rigorous testing of currently conflicting climate models.
Summary
The proposed research would utilise various geochemical proxies (oxygen, carbon, and trace elements) in cave calcite deposits (stalagmites) to develop extraordinarily high-resolution North Atlantic hurricane activity records for the past five hundred years, extending existing historical datasets by hundreds of years. This new stalagmite record would be the first high resolution record to extend beyond 1850, thus permit more statistically robust comparisons of hurricane activity between pre- and post-anthropogenic greenhouse gas climatic states, and help to constrain any natural cyclicities inherent in North Atlantic hurricane activity. Additionally, the three study sites were chosen to test the hypothesis that variations in the North Atlantic Oscillation (NAO) index may influence hurricane track direction. The records will also be used to reconstruct El Nino-Southern Oscillation variability back through time, something that on its own would be an important result. The research would help evaluate the risk of stronger/more frequent future hurricanes associated with global climate change by allowing more rigorous testing of currently conflicting climate models.
Max ERC Funding
1 387 814 €
Duration
Start date: 2010-01-01, End date: 2015-12-31
Project acronym HydMet
Project Fundamentals of Hydrogen in Structural Metals at the Atomic Scale
Researcher (PI) Peter FELFER
Host Institution (HI) FRIEDRICH-ALEXANDER-UNIVERSITAET ERLANGEN NUERNBERG
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary H is an element that plays an important role in the production and efficient usage of energy as it significantly influences the way we produce and consume energy: In high-strength materials, the usability and service life is limited by H induced failure. These materials are key in transport systems, wind power and H storage. Despite the enormous economic significance, little is known fundamentally about the underlying damage mechanisms, which are inherently playing out on the atomic scale.
The PI’s team will use atom probe tomography, an atomic scale 3D microscopy method to systematically analyse the location and pathways of H in the microstructure and shed light on damage mechanisms in Fe and Ni based materials. This will include vacancies/clusters (0D), dislocations (1D), interfaces (2D) and second phased (3D). The approach will be combined with micro-mechanics to investigate the involvement of H in fracture behaviour. We will measure the amount of H at dislocations required for enhanced plasticity, in the plastic wake of a crack and at the crack tip. In production materials, we will determine the amount of H at identified traps after processing as well as penetration pathways into the material. Finally, we will clarify the contribution of H to a important problem for wind power generation: white-etching cracks.
These experiments are now made possible in a commercial atom probe by using 2H (D) charging combined with cryo specimen transfers to avoid H loss. In the project, the team will go a step further and build an atom probe with ultra-low H background to enable the direct detection of 1H, enabling analysis without tracers.
The resulting knowledge will greatly enhance our knowledge on the fundamentals of H in metals at the atomic scale. This will lead to increased predictability of failures, the rational design of H resistant high strength materials and protection measures and with it great cost savings especially in renewable energy generation and electromobility.
Summary
H is an element that plays an important role in the production and efficient usage of energy as it significantly influences the way we produce and consume energy: In high-strength materials, the usability and service life is limited by H induced failure. These materials are key in transport systems, wind power and H storage. Despite the enormous economic significance, little is known fundamentally about the underlying damage mechanisms, which are inherently playing out on the atomic scale.
The PI’s team will use atom probe tomography, an atomic scale 3D microscopy method to systematically analyse the location and pathways of H in the microstructure and shed light on damage mechanisms in Fe and Ni based materials. This will include vacancies/clusters (0D), dislocations (1D), interfaces (2D) and second phased (3D). The approach will be combined with micro-mechanics to investigate the involvement of H in fracture behaviour. We will measure the amount of H at dislocations required for enhanced plasticity, in the plastic wake of a crack and at the crack tip. In production materials, we will determine the amount of H at identified traps after processing as well as penetration pathways into the material. Finally, we will clarify the contribution of H to a important problem for wind power generation: white-etching cracks.
These experiments are now made possible in a commercial atom probe by using 2H (D) charging combined with cryo specimen transfers to avoid H loss. In the project, the team will go a step further and build an atom probe with ultra-low H background to enable the direct detection of 1H, enabling analysis without tracers.
The resulting knowledge will greatly enhance our knowledge on the fundamentals of H in metals at the atomic scale. This will lead to increased predictability of failures, the rational design of H resistant high strength materials and protection measures and with it great cost savings especially in renewable energy generation and electromobility.
Max ERC Funding
1 497 959 €
Duration
Start date: 2018-12-01, End date: 2023-11-30
Project acronym HYDROCARB
Project Towards a new understanding of carbon processing in freshwaters: methane emission hot spots and carbon burial
Researcher (PI) Sebastian Sobek
Host Institution (HI) UPPSALA UNIVERSITET
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary In spite of their small areal extent, inland waters play a vital role in the carbon cycle of the continents, as they emit significant amounts of the greenhouse gases (GHG) carbon dioxide (CO2) and methane (CH4) to the atmosphere, and simultaneously bury more organic carbon (OC) in their sediments than the entire ocean. Particularly in tropical hydropower reservoirs, GHG emissions can be large, mainly owing to high CH4 emission. Moreover, the number of tropical hydropower reservoirs will continue to increase dramatically, due to an urgent need for economic growth and a vast unused hydropower potential in many tropical countries. However, the current understanding of the magnitude of GHG emission, and of the processes regulating it, is insufficient. Here I propose a research program on tropical reservoirs in Brazil that takes advantage of recent developments in both concepts and methodologies to provide unique evaluations of GHG emission and OC burial in tropical reservoirs. In particular, I will test the following hypotheses: 1) Current estimates of reservoir CH4 emission are at least one order of magnitude too low, since they have completely missed the recently discovered existence of gas bubble emission hot spots; 2) The burial of land-derived OC in reservoir sediments offsets a significant share of the GHG emissions; and 3) The sustained, long-term CH4 emission from reservoirs is to a large degree fuelled by primary production of new OC within the reservoir, and may therefore be reduced by management of nutrient supply. The new understanding and the cross-disciplinary methodological approach will constitute a major advance to aquatic science in general, and have strong impacts on the understanding of other aquatic systems at other latitudes as well. In addition, the results will be merged into an existing reservoir GHG risk assessment tool to improve planning, design, management and judgment of hydropower reservoirs.
Summary
In spite of their small areal extent, inland waters play a vital role in the carbon cycle of the continents, as they emit significant amounts of the greenhouse gases (GHG) carbon dioxide (CO2) and methane (CH4) to the atmosphere, and simultaneously bury more organic carbon (OC) in their sediments than the entire ocean. Particularly in tropical hydropower reservoirs, GHG emissions can be large, mainly owing to high CH4 emission. Moreover, the number of tropical hydropower reservoirs will continue to increase dramatically, due to an urgent need for economic growth and a vast unused hydropower potential in many tropical countries. However, the current understanding of the magnitude of GHG emission, and of the processes regulating it, is insufficient. Here I propose a research program on tropical reservoirs in Brazil that takes advantage of recent developments in both concepts and methodologies to provide unique evaluations of GHG emission and OC burial in tropical reservoirs. In particular, I will test the following hypotheses: 1) Current estimates of reservoir CH4 emission are at least one order of magnitude too low, since they have completely missed the recently discovered existence of gas bubble emission hot spots; 2) The burial of land-derived OC in reservoir sediments offsets a significant share of the GHG emissions; and 3) The sustained, long-term CH4 emission from reservoirs is to a large degree fuelled by primary production of new OC within the reservoir, and may therefore be reduced by management of nutrient supply. The new understanding and the cross-disciplinary methodological approach will constitute a major advance to aquatic science in general, and have strong impacts on the understanding of other aquatic systems at other latitudes as well. In addition, the results will be merged into an existing reservoir GHG risk assessment tool to improve planning, design, management and judgment of hydropower reservoirs.
Max ERC Funding
1 798 227 €
Duration
Start date: 2013-09-01, End date: 2019-08-31
Project acronym HYDROFAKIR
Project Roughness design towards reversible non- / full-wetting surfaces: From Fakir Droplets to Liquid Films
Researcher (PI) Athanasios Papathanasiou
Host Institution (HI) NATIONAL TECHNICAL UNIVERSITY OF ATHENS - NTUA
Call Details Starting Grant (StG), PE8, ERC-2009-StG
Summary Creating tunable surfaces that are able to undergo reversible transitions between superhydrophobic and superhydrophilic behaviour is a challenging and vital issue due to their potential use in applications involving self cleaning, very low flow resistance and liquid handling without moving mechanical parts. Superhydrophobic surfaces arising from micro-scale roughened hydrophobic materials spontaneously exhibit transitions to become superhydrophilic when their material wetting properties are suitably modified by external stimuli. The reverse transition, however, requires external actuation/ perturbation which can be strong as to deteriorate the liquids handled and therefore limit the use such techniques in applications. Here we plan to combine continuum and mesoscale computational analysis of wetting phenomena in solid surfaces to create designer roughness that will minimize, or even eliminate, the strength of the actuation required to achieve full- to non-wetting reversibility. The modelling will be done in a continuous dialogue with surface fabrication and wetting tests. Wetting experiments will be performed along with novel microactuation techniques for liquid interfaces.
Summary
Creating tunable surfaces that are able to undergo reversible transitions between superhydrophobic and superhydrophilic behaviour is a challenging and vital issue due to their potential use in applications involving self cleaning, very low flow resistance and liquid handling without moving mechanical parts. Superhydrophobic surfaces arising from micro-scale roughened hydrophobic materials spontaneously exhibit transitions to become superhydrophilic when their material wetting properties are suitably modified by external stimuli. The reverse transition, however, requires external actuation/ perturbation which can be strong as to deteriorate the liquids handled and therefore limit the use such techniques in applications. Here we plan to combine continuum and mesoscale computational analysis of wetting phenomena in solid surfaces to create designer roughness that will minimize, or even eliminate, the strength of the actuation required to achieve full- to non-wetting reversibility. The modelling will be done in a continuous dialogue with surface fabrication and wetting tests. Wetting experiments will be performed along with novel microactuation techniques for liquid interfaces.
Max ERC Funding
1 131 840 €
Duration
Start date: 2010-02-01, End date: 2015-09-30
Project acronym HyGate
Project Hydrophobic Gating in nanochannels: understanding single channel mechanisms for designing better nanoscale sensors
Researcher (PI) Alberto GIACOMELLO
Host Institution (HI) UNIVERSITA DEGLI STUDI DI ROMA LA SAPIENZA
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Hydrophobic gating is the phenomenon by which the flux of ions or other molecules through biological ion channels or synthetic nanopores is hindered by the formation of nanoscale bubbles. Recent studies suggest that this is a generic mechanism for the inactivation of a plethora of ion channels, which are all characterized by a strongly hydrophobic interior. The conformation, compliance, and hydrophobicity of the nanochannels – in addition to external parameters such as electric potential, pressure, presence of gases – have a dramatic influence on the probability of opening and closing of the gate. This largely unexplored confined phase transition is known to cause low frequency noise in solid-state nanopores used for DNA sequencing and sensing, limiting their applicability. In biological channels, hydrophobic gating might conspire in determining the high selectivity towards a specific ions or molecules, a characteristic which is sought for in biosensors.
The objective of HyGate is to unravel the fundamental mechanisms of hydrophobic gating in model nanopores and biological ion channels and exploit their understanding in order to design biosensors with lower noise and higher selectivity. In order to achieve this ambitious goal, I will deploy the one-of-a-kind simulation and theoretical tools I developed to study vapor nucleation in extreme confinement, which comprises rare-event molecular dynamics and confined nucleation theory. These quantitative tools will be instrumental in designing better biosensors and nanodevices which avoid the formation of nanobubbles or exploit them to achieve exquisite species selectivity. The novel physical insights into the behavior of water in complex nanoconfined environments are expected to inspire radically innovative strategies for nanopore sensing and nanofluidic circuits and to promote a stepwise advancement in the fundamental understanding of hydrophobic gating mechanisms and their influence on bio-electrical cell response.
Summary
Hydrophobic gating is the phenomenon by which the flux of ions or other molecules through biological ion channels or synthetic nanopores is hindered by the formation of nanoscale bubbles. Recent studies suggest that this is a generic mechanism for the inactivation of a plethora of ion channels, which are all characterized by a strongly hydrophobic interior. The conformation, compliance, and hydrophobicity of the nanochannels – in addition to external parameters such as electric potential, pressure, presence of gases – have a dramatic influence on the probability of opening and closing of the gate. This largely unexplored confined phase transition is known to cause low frequency noise in solid-state nanopores used for DNA sequencing and sensing, limiting their applicability. In biological channels, hydrophobic gating might conspire in determining the high selectivity towards a specific ions or molecules, a characteristic which is sought for in biosensors.
The objective of HyGate is to unravel the fundamental mechanisms of hydrophobic gating in model nanopores and biological ion channels and exploit their understanding in order to design biosensors with lower noise and higher selectivity. In order to achieve this ambitious goal, I will deploy the one-of-a-kind simulation and theoretical tools I developed to study vapor nucleation in extreme confinement, which comprises rare-event molecular dynamics and confined nucleation theory. These quantitative tools will be instrumental in designing better biosensors and nanodevices which avoid the formation of nanobubbles or exploit them to achieve exquisite species selectivity. The novel physical insights into the behavior of water in complex nanoconfined environments are expected to inspire radically innovative strategies for nanopore sensing and nanofluidic circuits and to promote a stepwise advancement in the fundamental understanding of hydrophobic gating mechanisms and their influence on bio-electrical cell response.
Max ERC Funding
1 496 250 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym ICE
Project Laboratory and modelling studies of ice nucleation and crystallisation in the Earth's atmosphere
Researcher (PI) Benjamin Murray
Host Institution (HI) UNIVERSITY OF LEEDS
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary The formation of ice particles in the Earth s atmosphere strongly affects the properties of clouds and their impact on climate. However, our basic understanding of ice nucleation and crystallisation is still in its infancy. Despite the importance of ice formation in determining the properties of clouds, the Intergovernmental Panel on Climate Change (IPCC) was unable to assess the impact of atmospheric ice formation in their most recent report, because our basic knowledge is insufficient. In this proposal plans are described to establish a laboratory dedicated to improving our fundamental understanding of ice nucleation and crystallisation. It is proposed to develop a series of laboratory experiments designed to quantify atmospherically relevant processes at a fundamental level. In work package 1 the role of glassy solids and ultra-viscous liquids in cloud formation will be investigated; in work package 2 the rate at which various mineral dusts nucleate ice in the immersion mode will be quantified; the phase of ice that deposits onto frozen solution droplets or heterogeneous ice nuclei will be determined in work package 3; and in work package 4 the laboratory data from work packages 1-3 will be used to constrain ice nucleation in numerical clouds models in order to assess radiative forcings. The instrumentation and modelling experience gained in this five year project will provide a lasting legacy and open doors to new research areas in the future. As an international hub of atmospheric and climate science, the University of Leeds is a unique and ideal institute in which to bridge the gap between fundamental studies and the cloud/climate modelling community.
Summary
The formation of ice particles in the Earth s atmosphere strongly affects the properties of clouds and their impact on climate. However, our basic understanding of ice nucleation and crystallisation is still in its infancy. Despite the importance of ice formation in determining the properties of clouds, the Intergovernmental Panel on Climate Change (IPCC) was unable to assess the impact of atmospheric ice formation in their most recent report, because our basic knowledge is insufficient. In this proposal plans are described to establish a laboratory dedicated to improving our fundamental understanding of ice nucleation and crystallisation. It is proposed to develop a series of laboratory experiments designed to quantify atmospherically relevant processes at a fundamental level. In work package 1 the role of glassy solids and ultra-viscous liquids in cloud formation will be investigated; in work package 2 the rate at which various mineral dusts nucleate ice in the immersion mode will be quantified; the phase of ice that deposits onto frozen solution droplets or heterogeneous ice nuclei will be determined in work package 3; and in work package 4 the laboratory data from work packages 1-3 will be used to constrain ice nucleation in numerical clouds models in order to assess radiative forcings. The instrumentation and modelling experience gained in this five year project will provide a lasting legacy and open doors to new research areas in the future. As an international hub of atmospheric and climate science, the University of Leeds is a unique and ideal institute in which to bridge the gap between fundamental studies and the cloud/climate modelling community.
Max ERC Funding
1 664 190 €
Duration
Start date: 2009-11-01, End date: 2015-04-30
Project acronym IgYPurTech
Project IgY Technology: A Purification Platform using Ionic-Liquid-Based Aqueous Biphasic Systems
Researcher (PI) Mara Guadalupe Freire Martins
Host Institution (HI) UNIVERSIDADE DE AVEIRO
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary With the emergence of antibiotic-resistant pathogens the development of antigen-specific antibodies for use in passive immunotherapy is, nowadays, a major concern in human society. Despite the most focused mammal antibodies, antibodies obtained from egg yolk of immunized hens, immunoglobulin Y (IgY), are an alternative option that can be obtained in higher titres by non-stressful and non-invasive methods. This large amount of available antibodies opens the door for a new kind of cheaper biopharmaceuticals. However, the production cost of high-quality IgY for large-scale applications remains higher than other drug therapies due to the lack of an efficient purification method. The search of new purification platforms is thus a vital demand to which liquid-liquid extraction using aqueous biphasic systems (ABS) could be the answer. Besides the conventional polymer-based systems, highly viscous and with a limited polarity/affinity range, a recent type of ABS composed of ionic liquids (ILs) may be employed. ILs are usually classified as “green solvents” due to their negligible vapour pressure. Yet, the major advantage of IL-based ABS relies on the possibility of tailoring their phases’ polarities aiming at extracting a target biomolecule. A proper manipulation of the system constituents and respective composition allows the pre-concentration, complete extraction, or purification of the most diverse biomolecules.
This research project addresses the development of a new technique for the extraction and purification of IgY from egg yolk using IL-based ABS. The proposed plan contemplates the optimization of purification systems at the laboratory scale and their use in countercurrent chromatography to achieve a simple, cost-effective and scalable process. The success of this project and its scalability to an industrial level certainly will allow the production of cheaper antibodies with a long-term impact in human healthcare.
Summary
With the emergence of antibiotic-resistant pathogens the development of antigen-specific antibodies for use in passive immunotherapy is, nowadays, a major concern in human society. Despite the most focused mammal antibodies, antibodies obtained from egg yolk of immunized hens, immunoglobulin Y (IgY), are an alternative option that can be obtained in higher titres by non-stressful and non-invasive methods. This large amount of available antibodies opens the door for a new kind of cheaper biopharmaceuticals. However, the production cost of high-quality IgY for large-scale applications remains higher than other drug therapies due to the lack of an efficient purification method. The search of new purification platforms is thus a vital demand to which liquid-liquid extraction using aqueous biphasic systems (ABS) could be the answer. Besides the conventional polymer-based systems, highly viscous and with a limited polarity/affinity range, a recent type of ABS composed of ionic liquids (ILs) may be employed. ILs are usually classified as “green solvents” due to their negligible vapour pressure. Yet, the major advantage of IL-based ABS relies on the possibility of tailoring their phases’ polarities aiming at extracting a target biomolecule. A proper manipulation of the system constituents and respective composition allows the pre-concentration, complete extraction, or purification of the most diverse biomolecules.
This research project addresses the development of a new technique for the extraction and purification of IgY from egg yolk using IL-based ABS. The proposed plan contemplates the optimization of purification systems at the laboratory scale and their use in countercurrent chromatography to achieve a simple, cost-effective and scalable process. The success of this project and its scalability to an industrial level certainly will allow the production of cheaper antibodies with a long-term impact in human healthcare.
Max ERC Funding
1 386 020 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym INVARIANT
Project Invariant manifolds in dynamical systems and PDE
Researcher (PI) Daniel Peralta-Salas
Host Institution (HI) AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary "The goal of this project is to develop new techniques combining tools from dynamical systems, analysis and differential geometry to study the existence and properties of invariant manifolds arising from solutions to differential equations. These structures are relevant in the study of the qualitative properties of ODE and PDE and appear very naturally in important questions of mathematical physics. This proposal can be divided in three blocks: the study of periodic orbits and related dynamical structures of vector fields which are solutions to the Euler, Navier-Stokes or Magnetohydrodynamics equations (in the spirit of what is called topological fluid mechanics); the analysis of critical points and level sets of functions which are solutions to some elliptic or parabolic problems (e.g.
eigenfunctions of the Laplacian or Green's functions); a very novel approach based on the nodal sets of a PDE to study the limit cycles of planar vector fields. With the introduction by the Principal Investigator, in collaboration with A. Enciso, of totally new techniques to prove the existence of solutions with prescribed invariant sets for a wide range of PDE, it is now possible to approach these apparently unrelated problems using the same strategy: the construction of local solutions with robust invariant sets and the subsequent uniform approximation by global solutions. Our recent proof of a well known conjecture in topological fluid mechanics, which was popularized by the works of Arnold and Moffatt in the 1960's, illustrates the power of this method. In this project, I intend to delve into and extend the pioneering techniques that we have developed to go significantly beyond the state of the art in some long-standing open problems on invariant manifolds posed by Ulam, Arnold and Yau, among others. This project will allow me to establish an internationally recognized research group in this area at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid."
Summary
"The goal of this project is to develop new techniques combining tools from dynamical systems, analysis and differential geometry to study the existence and properties of invariant manifolds arising from solutions to differential equations. These structures are relevant in the study of the qualitative properties of ODE and PDE and appear very naturally in important questions of mathematical physics. This proposal can be divided in three blocks: the study of periodic orbits and related dynamical structures of vector fields which are solutions to the Euler, Navier-Stokes or Magnetohydrodynamics equations (in the spirit of what is called topological fluid mechanics); the analysis of critical points and level sets of functions which are solutions to some elliptic or parabolic problems (e.g.
eigenfunctions of the Laplacian or Green's functions); a very novel approach based on the nodal sets of a PDE to study the limit cycles of planar vector fields. With the introduction by the Principal Investigator, in collaboration with A. Enciso, of totally new techniques to prove the existence of solutions with prescribed invariant sets for a wide range of PDE, it is now possible to approach these apparently unrelated problems using the same strategy: the construction of local solutions with robust invariant sets and the subsequent uniform approximation by global solutions. Our recent proof of a well known conjecture in topological fluid mechanics, which was popularized by the works of Arnold and Moffatt in the 1960's, illustrates the power of this method. In this project, I intend to delve into and extend the pioneering techniques that we have developed to go significantly beyond the state of the art in some long-standing open problems on invariant manifolds posed by Ulam, Arnold and Yau, among others. This project will allow me to establish an internationally recognized research group in this area at the Instituto de Ciencias Matemáticas (ICMAT) in Madrid."
Max ERC Funding
1 260 042 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym IOWAGA
Project Interdisciplinary Ocean Wave for Geophysical and other applications
Researcher (PI) Fabrice Ardhuin
Host Institution (HI) INSTITUT FRANCAIS DE RECHERCHE POUR L'EXPLOITATION DE LA MER
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary Ocean waves are the essential gearbox between the atmosphere and ocean and also consitute a very peculiar prism through which most satellite sensors see the ocean. IOWAGA proposes a systemic investigation of ocean waves for improving the ocean surface wave compartment of Earth system models. The project will integrate in a coherent manner exisiting and new wave-related observations from multiple sources, including remote sensing, seismic records, and in situ measurements, from climate and global scales to coastal scales and single events. Going through several cycles from observations to numerical modelling via theory and parameterizations, a consistent numerical model will be refined. This modelling tool will be exploited for multi-scale hindcasts and analyses of wave related parameters, with applications to geophysics at large, in particular remote sensing, air-sea interactions, coastal hydrodynamics and seismic studies, and practical applications with associated societal benefits (ocean energy planning and management, marine safety, pollution mitigation &). The consistency between the various wave observations and the numerical modelling efforts is essential to constrain and advance better understandings of wave-related processes, to improve the accuracy of the wave-related parameters to be estimated, but also to help instrumental designs and future ocean surface remote sensing space observations. IOWAGA will be a focal point for ocean wave research, with close connection to other efforts in Europe that are focused on other compartments of the Earth system models.
Summary
Ocean waves are the essential gearbox between the atmosphere and ocean and also consitute a very peculiar prism through which most satellite sensors see the ocean. IOWAGA proposes a systemic investigation of ocean waves for improving the ocean surface wave compartment of Earth system models. The project will integrate in a coherent manner exisiting and new wave-related observations from multiple sources, including remote sensing, seismic records, and in situ measurements, from climate and global scales to coastal scales and single events. Going through several cycles from observations to numerical modelling via theory and parameterizations, a consistent numerical model will be refined. This modelling tool will be exploited for multi-scale hindcasts and analyses of wave related parameters, with applications to geophysics at large, in particular remote sensing, air-sea interactions, coastal hydrodynamics and seismic studies, and practical applications with associated societal benefits (ocean energy planning and management, marine safety, pollution mitigation &). The consistency between the various wave observations and the numerical modelling efforts is essential to constrain and advance better understandings of wave-related processes, to improve the accuracy of the wave-related parameters to be estimated, but also to help instrumental designs and future ocean surface remote sensing space observations. IOWAGA will be a focal point for ocean wave research, with close connection to other efforts in Europe that are focused on other compartments of the Earth system models.
Max ERC Funding
1 099 040 €
Duration
Start date: 2010-01-01, End date: 2013-12-31
Project acronym ISOSYC
Project Initial Solar System Composition and Early Planetary Differentiation
Researcher (PI) Vinciane Chantal A Debaille
Host Institution (HI) UNIVERSITE LIBRE DE BRUXELLES
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary Meteorites are privileged witnesses of solar system accretion processes and early planetary evolution. Short-lived radioactive chronometers are particularly adapted in dating and understanding these early differentiation processes. This proposal is dedicated to two main questions: (1) what is the initial composition of the solar system and terrestrial planets?; (2) having refined these parameters, how and when silicate bodies differentiated?
Among short-lived chronometers, the system 146Sm-142Nd is particularly adapted to solve these questions. While it is generally assumed that the global bulk composition of Earth and other terrestrial planets is chondritic for refractory elements such as Sm and Nd, it has recently been shown that the 142Nd/144Nd values display a systematic and reproducible bias between all the chondrites and the average composition of the Earth, and also possibly of other planets. Several hypotheses have been proposed: (i) there is an enriched reservoir hidden deep in Earth, with a composition balancing the currently observed terrestrial composition in order to get a global chondritic composition for the Earth. (ii) The Earth and other terrestrial planets are non-chondritic for their composition in refractory elements. (iii) Nucleosynthetic anomalies have modified the isotopic composition measured in chondrites. (iv) The starting parameters of the 146Sm-142Nd system are not well defined. However, this last point has never been carefully evaluated.
The main scientific strategy of this proposal is based on reinvestigating with the best precision ever achieved the starting parameters of the 146Sm-142Nd systematic using the oldest objects of the solar system: Ca-Al inclusions and chondrules. The final goal of the present proposal is to determine if Earth and other planets are chondritic or not, and to understand the implications of their refined starting composition on their geological evolution in terms of early planetary differentiation.
Summary
Meteorites are privileged witnesses of solar system accretion processes and early planetary evolution. Short-lived radioactive chronometers are particularly adapted in dating and understanding these early differentiation processes. This proposal is dedicated to two main questions: (1) what is the initial composition of the solar system and terrestrial planets?; (2) having refined these parameters, how and when silicate bodies differentiated?
Among short-lived chronometers, the system 146Sm-142Nd is particularly adapted to solve these questions. While it is generally assumed that the global bulk composition of Earth and other terrestrial planets is chondritic for refractory elements such as Sm and Nd, it has recently been shown that the 142Nd/144Nd values display a systematic and reproducible bias between all the chondrites and the average composition of the Earth, and also possibly of other planets. Several hypotheses have been proposed: (i) there is an enriched reservoir hidden deep in Earth, with a composition balancing the currently observed terrestrial composition in order to get a global chondritic composition for the Earth. (ii) The Earth and other terrestrial planets are non-chondritic for their composition in refractory elements. (iii) Nucleosynthetic anomalies have modified the isotopic composition measured in chondrites. (iv) The starting parameters of the 146Sm-142Nd system are not well defined. However, this last point has never been carefully evaluated.
The main scientific strategy of this proposal is based on reinvestigating with the best precision ever achieved the starting parameters of the 146Sm-142Nd systematic using the oldest objects of the solar system: Ca-Al inclusions and chondrules. The final goal of the present proposal is to determine if Earth and other planets are chondritic or not, and to understand the implications of their refined starting composition on their geological evolution in terms of early planetary differentiation.
Max ERC Funding
1 485 299 €
Duration
Start date: 2014-03-01, End date: 2019-02-28
Project acronym ITOP
Project Integrated Theory and Observations of the Pleistocene
Researcher (PI) Michel Crucifix
Host Institution (HI) UNIVERSITE CATHOLIQUE DE LOUVAIN
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary There are essentially two approaches to climate modelling. Over the past decades, efforts to understand climate dynamics have been dominated by computationally-intensive modelling aiming to include all possible processes, essentially by integrating the equations for the relevant physics. This is the bottom-up approach. However, even the largest models include many approximations and the cumulative effect of these approximations make it impossible to predict the evolution of climate over several tens of thousands of years. For this reason a more phenomenological approach is also useful. It consists in identifying coherent spatio-temporal structures in the climate time-series in order to understand how they interact. Theoretically, the two approaches focus on different levels of information and they should be complementary. In practice, they are generally perceived to be in philosophical opposition and there is no unifying methodological framework. Our ambition is to provide this methodological framework with a focus on climate dynamics at the scale of the Pleistocene (last 2 million years). We pursue a triple objective (1) the framework must be rigorous but flexible enough to test competing theories of ice ages (2) it must avoid circular reasonings associated with ``tuning'' (3) it must provide a credible basis to unify our knowledge of climate dynamics and provide a state-of-the-art ``prediction horizon''. To this end we propose a methodology spanning different but complementary disciplines: physical climatology, empirical palaeoclimatology, dynamical system analysis and applied Bayesian statistics. It is intended to have a wide applicability in climate science where there is an interest in using reduced-order representations of the climate system.
Summary
There are essentially two approaches to climate modelling. Over the past decades, efforts to understand climate dynamics have been dominated by computationally-intensive modelling aiming to include all possible processes, essentially by integrating the equations for the relevant physics. This is the bottom-up approach. However, even the largest models include many approximations and the cumulative effect of these approximations make it impossible to predict the evolution of climate over several tens of thousands of years. For this reason a more phenomenological approach is also useful. It consists in identifying coherent spatio-temporal structures in the climate time-series in order to understand how they interact. Theoretically, the two approaches focus on different levels of information and they should be complementary. In practice, they are generally perceived to be in philosophical opposition and there is no unifying methodological framework. Our ambition is to provide this methodological framework with a focus on climate dynamics at the scale of the Pleistocene (last 2 million years). We pursue a triple objective (1) the framework must be rigorous but flexible enough to test competing theories of ice ages (2) it must avoid circular reasonings associated with ``tuning'' (3) it must provide a credible basis to unify our knowledge of climate dynamics and provide a state-of-the-art ``prediction horizon''. To this end we propose a methodology spanning different but complementary disciplines: physical climatology, empirical palaeoclimatology, dynamical system analysis and applied Bayesian statistics. It is intended to have a wide applicability in climate science where there is an interest in using reduced-order representations of the climate system.
Max ERC Funding
1 047 600 €
Duration
Start date: 2009-09-01, End date: 2014-08-31
Project acronym KAPIBARA
Project Homotopy Theory of Algebraic Varieties and Wild Ramification
Researcher (PI) Piotr ACHINGER
Host Institution (HI) INSTYTUT MATEMATYCZNY POLSKIEJ AKADEMII NAUK
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary The aim of the proposed research is to study the homotopy theory of algebraic varieties and other algebraically defined geometric objects, especially over fields other than the complex numbers. A noticeable emphasis will be put on fundamental groups and on K(pi, 1) spaces, which serve as building blocks for more complicated objects. The most important source of both motivation and methodology is my recent discovery of the K(pi, 1) property of affine schemes in positive characteristic and its relation to wild ramification phenomena.
The central goal is the study of etale homotopy types in positive characteristic, where we hope to use the aforementioned discovery to yield new results beyond the affine case and a better understanding of the fundamental group of affine schemes. The latter goal is closely tied to Grothendieck's anabelian geometry program, which we would like to extend beyond its usual scope of hyperbolic curves.
There are two bridges going out of this central point. The first is the analogy between wild ramification and irregular singularities of algebraic integrable connections, which prompts us to translate our results to the latter setting, and to define a wild homotopy type whose fundamental group encodes the category of connections.
The second bridge is the theory of perfectoid spaces, allowing one to pass between characteristic p and p-adic geometry, which we plan to use to shed some new light on the homotopy theory of adic spaces. At the same time, we address the related question: when is the universal cover of a p-adic variety a perfectoid space? We expect a connection between this question and the Shafarevich conjecture and varieties with large fundamental group.
The last part of the project deals with varieties over the field of formal Laurent series over C, where we want to construct a Betti homotopy realization using logarithmic geometry. The need for such a construction is motivated by certain questions in mirror symmetry.
Summary
The aim of the proposed research is to study the homotopy theory of algebraic varieties and other algebraically defined geometric objects, especially over fields other than the complex numbers. A noticeable emphasis will be put on fundamental groups and on K(pi, 1) spaces, which serve as building blocks for more complicated objects. The most important source of both motivation and methodology is my recent discovery of the K(pi, 1) property of affine schemes in positive characteristic and its relation to wild ramification phenomena.
The central goal is the study of etale homotopy types in positive characteristic, where we hope to use the aforementioned discovery to yield new results beyond the affine case and a better understanding of the fundamental group of affine schemes. The latter goal is closely tied to Grothendieck's anabelian geometry program, which we would like to extend beyond its usual scope of hyperbolic curves.
There are two bridges going out of this central point. The first is the analogy between wild ramification and irregular singularities of algebraic integrable connections, which prompts us to translate our results to the latter setting, and to define a wild homotopy type whose fundamental group encodes the category of connections.
The second bridge is the theory of perfectoid spaces, allowing one to pass between characteristic p and p-adic geometry, which we plan to use to shed some new light on the homotopy theory of adic spaces. At the same time, we address the related question: when is the universal cover of a p-adic variety a perfectoid space? We expect a connection between this question and the Shafarevich conjecture and varieties with large fundamental group.
The last part of the project deals with varieties over the field of formal Laurent series over C, where we want to construct a Betti homotopy realization using logarithmic geometry. The need for such a construction is motivated by certain questions in mirror symmetry.
Max ERC Funding
1 007 500 €
Duration
Start date: 2019-06-01, End date: 2024-05-31
Project acronym LIE ANALYSIS
Project Lie Group Analysis for Medical Image Processing
Researcher (PI) Remco Duits
Host Institution (HI) TECHNISCHE UNIVERSITEIT EINDHOVEN
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary The aim of this project is to substantially improve computer algorithms for image analysis in medical imaging. Currently available techniques often require significant application-specific tuning and have a limited application scope. This is mostly due to the use of non-generic feature spaces that involve many physical dimensions and lack mathematical foundation.
Instead, we derive inspiration from the superior generic pattern recognition capabilities of the human brain and propose a novel operator design aiming at better results and wider applicability.
This novel operator design combines (partial and ordinary) differential equations on non-compact Lie groups (induced by stochastic processes and sub-Riemannian geometric control) with wavelet transforms. Many mathematical challenges arise in the analysis and (numerical) solutions of these operators.
The research departs from previously developed insights of the PI on 'invertible orientation scores', which can be regarded as a specific instance in a general Lie group theoretical framework. Within this general framework one obtains a comprehensive invertible score defined on a higher dimensional Lie group beyond position space. The key challenge is to appropriately exploit these scores, their survey of multiple features per position, their underlying group structure, and their invertibility. We will tackle this via left-invariant evolutions and left-invariant sub-Riemannian optimal control within the score.
The orientation score approach will be systematically extended towards multi-scale-and-orientation, multi-velocity and multi-frequency encoding and processing, widening the application scope. Moreover, improvements in contextual enhancement via invertible scores and improvements in optimal curve extractions in the Lie group domain of the score will be pursued.
We will develop and apply the resulting algorithms to a wide range of medical imaging challenges in neurological, retinal and cardiac applications.
Summary
The aim of this project is to substantially improve computer algorithms for image analysis in medical imaging. Currently available techniques often require significant application-specific tuning and have a limited application scope. This is mostly due to the use of non-generic feature spaces that involve many physical dimensions and lack mathematical foundation.
Instead, we derive inspiration from the superior generic pattern recognition capabilities of the human brain and propose a novel operator design aiming at better results and wider applicability.
This novel operator design combines (partial and ordinary) differential equations on non-compact Lie groups (induced by stochastic processes and sub-Riemannian geometric control) with wavelet transforms. Many mathematical challenges arise in the analysis and (numerical) solutions of these operators.
The research departs from previously developed insights of the PI on 'invertible orientation scores', which can be regarded as a specific instance in a general Lie group theoretical framework. Within this general framework one obtains a comprehensive invertible score defined on a higher dimensional Lie group beyond position space. The key challenge is to appropriately exploit these scores, their survey of multiple features per position, their underlying group structure, and their invertibility. We will tackle this via left-invariant evolutions and left-invariant sub-Riemannian optimal control within the score.
The orientation score approach will be systematically extended towards multi-scale-and-orientation, multi-velocity and multi-frequency encoding and processing, widening the application scope. Moreover, improvements in contextual enhancement via invertible scores and improvements in optimal curve extractions in the Lie group domain of the score will be pursued.
We will develop and apply the resulting algorithms to a wide range of medical imaging challenges in neurological, retinal and cardiac applications.
Max ERC Funding
1 267 550 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym LIMITS
Project Limits of Structures in Algebra and Combinatorics
Researcher (PI) Lukasz GRABOWSKI
Host Institution (HI) UNIVERSITY OF LANCASTER
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary The project is concerned with Borel and measurable combinatorics, sparse
graph limits, approximation of algebraic structures and applications to
metric geometry and measured group theory. Our research will result in
major advances in these areas, and will create new research directions in
combinatorics, analysis and commutative algebra.
The main research objectives are as follows.
1) Study equidecompositions of sets and solve the Borel version of the Ruziewicz problem.
2) Give a new characterisation of amenable groups in terms of measurable Lovasz Local Lemma.
3) Study rank approximations of infinite groups and commutative algebras.
Summary
The project is concerned with Borel and measurable combinatorics, sparse
graph limits, approximation of algebraic structures and applications to
metric geometry and measured group theory. Our research will result in
major advances in these areas, and will create new research directions in
combinatorics, analysis and commutative algebra.
The main research objectives are as follows.
1) Study equidecompositions of sets and solve the Borel version of the Ruziewicz problem.
2) Give a new characterisation of amenable groups in terms of measurable Lovasz Local Lemma.
3) Study rank approximations of infinite groups and commutative algebras.
Max ERC Funding
1 139 333 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym LIMITTRANDOMMEDIA
Project Limit theorems for processes in random media
Researcher (PI) Noam Berger
Host Institution (HI) TECHNISCHE UNIVERSITAET MUENCHEN
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary Classical random walks (CRW) have been studied for centuries, and very detailed information is known about them. However, most of the techniques for studying CRW are based on the complete regularity and the group structure of the medium. When modeling real world phenomena, this regularity assumption rarely holds, and therefore CRW is not a sufficient model. As a result, a number of non-classical models of random walk have been suggested. These models are believed to better model actual natural processes. One of the most studied of non-classical random walk models is random walk in random environment (RWRE). In RWRE the medium ("environment") in which the process takes place is random, and the law of the random walk varies as a function of the location. RWRE can model, for instance, the motion of an electron in an alloy, the movement of enzymes along a DNA sequence and many other processes. Since the CRW methodology does not work for RWRE (and, in fact, neither for other non-classical models of random walk), new methodology needed to be developed. The purpose of this project is to contribute to the study of RWRE by improving the existing methods and by developing new ones. We will work on some of the most important problems in the field, namely convergence and rate of convergence to Brownian motion for various RWRE models (e.g. reversible, perturbative and others), trapping and slowdown for RWRE models (e.g. ballistic and perturbative), ballisticity conditions, zero-one laws, and others. The output of this project is expected to contribute significantly to the understanding of RWRE systems.
Summary
Classical random walks (CRW) have been studied for centuries, and very detailed information is known about them. However, most of the techniques for studying CRW are based on the complete regularity and the group structure of the medium. When modeling real world phenomena, this regularity assumption rarely holds, and therefore CRW is not a sufficient model. As a result, a number of non-classical models of random walk have been suggested. These models are believed to better model actual natural processes. One of the most studied of non-classical random walk models is random walk in random environment (RWRE). In RWRE the medium ("environment") in which the process takes place is random, and the law of the random walk varies as a function of the location. RWRE can model, for instance, the motion of an electron in an alloy, the movement of enzymes along a DNA sequence and many other processes. Since the CRW methodology does not work for RWRE (and, in fact, neither for other non-classical models of random walk), new methodology needed to be developed. The purpose of this project is to contribute to the study of RWRE by improving the existing methods and by developing new ones. We will work on some of the most important problems in the field, namely convergence and rate of convergence to Brownian motion for various RWRE models (e.g. reversible, perturbative and others), trapping and slowdown for RWRE models (e.g. ballistic and perturbative), ballisticity conditions, zero-one laws, and others. The output of this project is expected to contribute significantly to the understanding of RWRE systems.
Max ERC Funding
504 000 €
Duration
Start date: 2009-11-01, End date: 2014-10-31
Project acronym LINCE
Project Light INduced Cell control by Exogenous organic semiconductors
Researcher (PI) Maria Rosa ANTOGNAZZA
Host Institution (HI) FONDAZIONE ISTITUTO ITALIANO DI TECNOLOGIA
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary LINCE will develop light-sensitive devices based on organic semiconductors (OS) for optical regulation of living cells functions.
The possibility to control the activity of biological systems is a timeless mission for neuroscientists, since it allows both to understand specific functions and to manage dysfunctions. Optical modulation provides, respect to traditional electrical methods, unprecedented spatio-temporal resolution, lower invasiveness, and higher selectivity. However, the vast majority of animal cells does not bear specific sensitivity to light. Search for new materials capable to optically regulate cell activity is thus an extremely hot topic. OS are ideal candidates, since they are inherently sensitive to visible light and highly biocompatible, sustain both ionic and electronic conduction, can be functionalized with biomolecules and drugs. Recently, it was reported that polymer-mediated optical excitation efficiently modulates the neuronal electrical activity.
LINCE will significantly broaden the application of OS to address key, open issues of high biological relevance, in both neuroscience and regenerative medicine. In particular, it will develop new devices for: (i) regulation of astrocytes functions, active in many fundamental processes of the central nervous system and in pathological disorders; (ii) control of stem cell differentiation and tissue regeneration; (iii) control of animal behavior, to first assess device biocompatibility and efficacy in vivo. LINCE tools will be sensitive to visible and NIR light, flexible, biocompatible, and easily integrated with any standard physiology set-up. They will combine electrical, chemical and thermal stimuli, offering high spatio-temporal resolution, reversibility, specificity and yield. The combination of all these features is not achievable by current technologies. Overall, LINCE will provide neuroscientists and medical doctors with an unprecedented tool-box for in vitro and in vivo investigations.
Summary
LINCE will develop light-sensitive devices based on organic semiconductors (OS) for optical regulation of living cells functions.
The possibility to control the activity of biological systems is a timeless mission for neuroscientists, since it allows both to understand specific functions and to manage dysfunctions. Optical modulation provides, respect to traditional electrical methods, unprecedented spatio-temporal resolution, lower invasiveness, and higher selectivity. However, the vast majority of animal cells does not bear specific sensitivity to light. Search for new materials capable to optically regulate cell activity is thus an extremely hot topic. OS are ideal candidates, since they are inherently sensitive to visible light and highly biocompatible, sustain both ionic and electronic conduction, can be functionalized with biomolecules and drugs. Recently, it was reported that polymer-mediated optical excitation efficiently modulates the neuronal electrical activity.
LINCE will significantly broaden the application of OS to address key, open issues of high biological relevance, in both neuroscience and regenerative medicine. In particular, it will develop new devices for: (i) regulation of astrocytes functions, active in many fundamental processes of the central nervous system and in pathological disorders; (ii) control of stem cell differentiation and tissue regeneration; (iii) control of animal behavior, to first assess device biocompatibility and efficacy in vivo. LINCE tools will be sensitive to visible and NIR light, flexible, biocompatible, and easily integrated with any standard physiology set-up. They will combine electrical, chemical and thermal stimuli, offering high spatio-temporal resolution, reversibility, specificity and yield. The combination of all these features is not achievable by current technologies. Overall, LINCE will provide neuroscientists and medical doctors with an unprecedented tool-box for in vitro and in vivo investigations.
Max ERC Funding
1 866 250 €
Duration
Start date: 2019-03-01, End date: 2024-02-29
Project acronym MADE-IN-EARTH
Project Interplay between metamorphism and deformation in the Earth’s lithosphere
Researcher (PI) Lucie Tajcmanova
Host Institution (HI) EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary "A key to understanding the processes operating in the outer part of the Earth is to look at the metamorphic rocks produced in orogenic belts. These rocks now exhumed to the Earth’s surface provide a record of what they experienced, if only they can be correctly interpreted.
The recent use of high resolution devices has revealed the three-dimensional size, shape, composition and distribution of microstructural features in metamorphic rocks down to the nanometre-scale. The new observations show that mechanically maintained pressure variations can be significant (~1 GPa) even on a micro-scale. However, there is currently no satisfactory thermodynamic methodology for a quantitative interpretation of systems with such pressure variations in metamorphic rocks. Ignoring such pressure variations in petrological analysis can lead to errors in depth estimates that are comparable to the typical thickness of the whole continental crust. Such an error may then significantly influence the quality of geodynamic reconstructions.
Here, I propose to develop a revolutionary theoretical and computational method to understand microstructures that reflect pressure variations, based on the chemical and mechanical properties of their constituent minerals. Using the novel theoretical approach, I and my team will perform 3D numerical simulations and give the criteria to correctly understand the key microstructures.
This emerging multi-disciplinary research will provide a quantitative and physically-based framework for interpreting common microstructures in metamorphic rocks. Furthermore, the new approach will not only make a critical contribution to understanding the interplay between metamorphic processes and deformation on the grain scale, but it will also form the basis for a new generation of models for application to large-scale geological scenarios. The results of the project will thus significantly increase our understanding of key processes in the Earth’s lithosphere."
Summary
"A key to understanding the processes operating in the outer part of the Earth is to look at the metamorphic rocks produced in orogenic belts. These rocks now exhumed to the Earth’s surface provide a record of what they experienced, if only they can be correctly interpreted.
The recent use of high resolution devices has revealed the three-dimensional size, shape, composition and distribution of microstructural features in metamorphic rocks down to the nanometre-scale. The new observations show that mechanically maintained pressure variations can be significant (~1 GPa) even on a micro-scale. However, there is currently no satisfactory thermodynamic methodology for a quantitative interpretation of systems with such pressure variations in metamorphic rocks. Ignoring such pressure variations in petrological analysis can lead to errors in depth estimates that are comparable to the typical thickness of the whole continental crust. Such an error may then significantly influence the quality of geodynamic reconstructions.
Here, I propose to develop a revolutionary theoretical and computational method to understand microstructures that reflect pressure variations, based on the chemical and mechanical properties of their constituent minerals. Using the novel theoretical approach, I and my team will perform 3D numerical simulations and give the criteria to correctly understand the key microstructures.
This emerging multi-disciplinary research will provide a quantitative and physically-based framework for interpreting common microstructures in metamorphic rocks. Furthermore, the new approach will not only make a critical contribution to understanding the interplay between metamorphic processes and deformation on the grain scale, but it will also form the basis for a new generation of models for application to large-scale geological scenarios. The results of the project will thus significantly increase our understanding of key processes in the Earth’s lithosphere."
Max ERC Funding
1 499 820 €
Duration
Start date: 2013-10-01, End date: 2018-09-30
Project acronym MaMBoQ
Project Macroscopic Behavior of Many-Body Quantum Systems
Researcher (PI) Marcello PORTA
Host Institution (HI) EBERHARD KARLS UNIVERSITAET TUEBINGEN
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary This project is devoted to the analysis of large quantum systems. It is divided in two parts: Part A focuses on the transport properties of interacting lattice models, while Part B concerns the derivation of effective evolution equations for many-body quantum systems. The common theme is the concept of emergent effective theory: simplified models capturing the macroscopic behavior of complex systems. Different systems might share the same effective theory, a phenomenon called universality. A central goal of mathematical physics is to validate these approximations, and to understand the emergence of universality from first principles.
Part A: Transport in interacting condensed matter systems. I will study charge and spin transport in 2d systems, such as graphene and topological insulators. These materials attracted enormous interest, because of their remarkable conduction properties. Neglecting many-body interactions, some of these properties can be explained mathematically. In real samples, however, electrons do interact. In order to deal with such complex systems, physicists often rely on uncontrolled expansions, numerical methods, or formal mappings in exactly solvable models. The goal is to rigorously understand the effect of many-body interactions, and to explain the emergence of universality.
Part B: Effective dynamics of interacting fermionic systems. I will work on the derivation of effective theories for interacting fermions, in suitable scaling regimes. In the last 18 years, there has been great progress on the rigorous validity of celebrated effective models, e.g. Hartree and Gross-Pitaevskii theory. A lot is known for interacting bosons, for the dynamics and for the equilibrium low energy properties. Much less is known for fermions. The goal is fill the gap by proving the validity of some well-known fermionic effective theories, such as Hartree-Fock and BCS theory in the mean-field scaling, and the quantum Boltzmann equation in the kinetic scaling.
Summary
This project is devoted to the analysis of large quantum systems. It is divided in two parts: Part A focuses on the transport properties of interacting lattice models, while Part B concerns the derivation of effective evolution equations for many-body quantum systems. The common theme is the concept of emergent effective theory: simplified models capturing the macroscopic behavior of complex systems. Different systems might share the same effective theory, a phenomenon called universality. A central goal of mathematical physics is to validate these approximations, and to understand the emergence of universality from first principles.
Part A: Transport in interacting condensed matter systems. I will study charge and spin transport in 2d systems, such as graphene and topological insulators. These materials attracted enormous interest, because of their remarkable conduction properties. Neglecting many-body interactions, some of these properties can be explained mathematically. In real samples, however, electrons do interact. In order to deal with such complex systems, physicists often rely on uncontrolled expansions, numerical methods, or formal mappings in exactly solvable models. The goal is to rigorously understand the effect of many-body interactions, and to explain the emergence of universality.
Part B: Effective dynamics of interacting fermionic systems. I will work on the derivation of effective theories for interacting fermions, in suitable scaling regimes. In the last 18 years, there has been great progress on the rigorous validity of celebrated effective models, e.g. Hartree and Gross-Pitaevskii theory. A lot is known for interacting bosons, for the dynamics and for the equilibrium low energy properties. Much less is known for fermions. The goal is fill the gap by proving the validity of some well-known fermionic effective theories, such as Hartree-Fock and BCS theory in the mean-field scaling, and the quantum Boltzmann equation in the kinetic scaling.
Max ERC Funding
982 625 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym MAQD
Project Mathematical Aspects of Quantum Dynamics
Researcher (PI) Benjamin Schlein
Host Institution (HI) UNIVERSITAT ZURICH
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary The main goal of this proposal is to reach
a better mathematical understanding of
the dynamics of quantum mechanical
systems. In particular I plan to work
on the following three projects along
this direction. A. Effective Evolution
Equations for Macroscopic Systems.
The derivation of effective evolution
equations from first principle microscopic
theories is a fundamental task of statistical
mechanics. I have been involved in
several projects related to the derivation
of the Hartree and the Gross-Piteavskii
equation from many body quantum
dynamics. I plan to continue to work on
these problems and to use these results
to obtain new information on the many
body dynamics. B. Spectral Properties
of Random Matrices. The correlations
among eigenvalues of large random
matrices are expected to be independent
of the distribution of the entries. This
conjecture, known as universality, is
of great importance for random matrix
theory. In collaboration with L. Erdos and
H.-T. Yau, we established the validity of
Wigner's semicircle law on
microscopic scales, and we proved the
emergence of eigenvalue repulsion. In
the future, we plan to continue to study
Wigner matrices to prove, on the longer
term, universality. C. Locality Estimates in
Quantum Dynamics. Anharmonic lattice
systems are very important models in
non-equilibrium statistical mechanics.
With B. Nachtergaele, H. Raz, and R.
Sims, we proved Lieb-Robinson type
inequalities (giving an upper bound on
the speed of propagation of signals), for
a certain class of anharmonicity. Next, we
plan to extend these results to a larger
class of anharmonic potentials, and to
apply these bounds to establish other
fundamental properties of the dynamics
of anharmonic systems, such as the
existence of its thermodynamical limit.
Summary
The main goal of this proposal is to reach
a better mathematical understanding of
the dynamics of quantum mechanical
systems. In particular I plan to work
on the following three projects along
this direction. A. Effective Evolution
Equations for Macroscopic Systems.
The derivation of effective evolution
equations from first principle microscopic
theories is a fundamental task of statistical
mechanics. I have been involved in
several projects related to the derivation
of the Hartree and the Gross-Piteavskii
equation from many body quantum
dynamics. I plan to continue to work on
these problems and to use these results
to obtain new information on the many
body dynamics. B. Spectral Properties
of Random Matrices. The correlations
among eigenvalues of large random
matrices are expected to be independent
of the distribution of the entries. This
conjecture, known as universality, is
of great importance for random matrix
theory. In collaboration with L. Erdos and
H.-T. Yau, we established the validity of
Wigner's semicircle law on
microscopic scales, and we proved the
emergence of eigenvalue repulsion. In
the future, we plan to continue to study
Wigner matrices to prove, on the longer
term, universality. C. Locality Estimates in
Quantum Dynamics. Anharmonic lattice
systems are very important models in
non-equilibrium statistical mechanics.
With B. Nachtergaele, H. Raz, and R.
Sims, we proved Lieb-Robinson type
inequalities (giving an upper bound on
the speed of propagation of signals), for
a certain class of anharmonicity. Next, we
plan to extend these results to a larger
class of anharmonic potentials, and to
apply these bounds to establish other
fundamental properties of the dynamics
of anharmonic systems, such as the
existence of its thermodynamical limit.
Max ERC Funding
750 000 €
Duration
Start date: 2009-12-01, End date: 2014-11-30
Project acronym MechanoSignaling
Project Predicting cardiovascular regeneration: integrating mechanical cues and signaling pathways
Researcher (PI) Sandra LOERAKKER
Host Institution (HI) TECHNISCHE UNIVERSITEIT EINDHOVEN
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary The key challenge in regenerative medicine is to re-establish a physiological tissue organization as this is conditional for proper tissue functionality. In the cardiovascular field, tissue engineering of blood vessels and heart valves requires the development of a tri-laminar structure. Previous attempts to establish this organization have been mainly trial-and-error based. Therefore, to force breakthroughs and accelerate clinical translation, computational modeling is critical to understand and predict the process of neo-tissue regeneration starting from non-living biodegradable materials (i.e. scaffolds).
The main drivers of regeneration are (1) hemodynamic loads that trigger mechanically-driven tissue growth and remodeling, and (2) signaling interactions between cells that control the emergence of global tissue organization (e.g. layering of vessels and valves). While the first aspect currently receives vast attention, the modeling of cell signaling in the context of tissue engineering remains an unexplored area. In this project, I aim to obtain a mechanistic understanding of how a critical pathway in the cardiovascular system, i.e. the Notch signaling pathway, drives the emergence of global tissue organization while interacting with mechanical cues. I will adopt a unique, multi-disciplinary approach, where quantitative in vitro experiments will be performed to inform novel multi-scale computational models of Notch signaling and its consequences on regeneration. I will leverage these models to understand and predict in vivo regeneration of engineered cardiovascular tissues starting from various initial conditions.
If successful, this project will have a tremendous impact on the development of rational guidelines for ensuring functional tissue regeneration, which represents a breakthrough towards creating cardiovascular replacements that are superior to current treatment options. Moreover, it enables me to start my own independent research group in this field.
Summary
The key challenge in regenerative medicine is to re-establish a physiological tissue organization as this is conditional for proper tissue functionality. In the cardiovascular field, tissue engineering of blood vessels and heart valves requires the development of a tri-laminar structure. Previous attempts to establish this organization have been mainly trial-and-error based. Therefore, to force breakthroughs and accelerate clinical translation, computational modeling is critical to understand and predict the process of neo-tissue regeneration starting from non-living biodegradable materials (i.e. scaffolds).
The main drivers of regeneration are (1) hemodynamic loads that trigger mechanically-driven tissue growth and remodeling, and (2) signaling interactions between cells that control the emergence of global tissue organization (e.g. layering of vessels and valves). While the first aspect currently receives vast attention, the modeling of cell signaling in the context of tissue engineering remains an unexplored area. In this project, I aim to obtain a mechanistic understanding of how a critical pathway in the cardiovascular system, i.e. the Notch signaling pathway, drives the emergence of global tissue organization while interacting with mechanical cues. I will adopt a unique, multi-disciplinary approach, where quantitative in vitro experiments will be performed to inform novel multi-scale computational models of Notch signaling and its consequences on regeneration. I will leverage these models to understand and predict in vivo regeneration of engineered cardiovascular tissues starting from various initial conditions.
If successful, this project will have a tremendous impact on the development of rational guidelines for ensuring functional tissue regeneration, which represents a breakthrough towards creating cardiovascular replacements that are superior to current treatment options. Moreover, it enables me to start my own independent research group in this field.
Max ERC Funding
1 498 526 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym MechJointMorph
Project The role of mechanical forces induced by prenatal movements in joint morphogenesis
Researcher (PI) Niamh Catherine Nowlan
Host Institution (HI) IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary Most joints start off the same during embryonic development, as two opposing cartilage surfaces, and are moulded into the diverse range of shapes seen in the adult in a process known as morphogenesis. While we understand very little of the biological or mechanobiological processes driving joint morphogenesis, there is evidence to suggest that fetal movements play a critical role in joint shape development. Developmental Dysplasia of the Hip (DDH), where the hip is partly or fully dislocated, is much more common when the baby’s movement is restricted or prevented. This proposal will determine how mechanical forces influence joint shape morphogenesis, which is of key relevance to neonatal joint conditions such as DDH, to adult joint health and disease, and to tissue engineering of cartilage. A mouse line in which mutant embryos have no skeletal muscle will be studied, providing the first in depth analysis of mammalian joint shape development for normal and abnormal mechanical environments. The mouse line could provide the first mammalian model system for prenatal onset DDH. ‘Passive’ movements of these mutant embryos will then be induced by massage of the mother, and the effects on the joints measured. If the effects on joint shape of absent spontaneous movement are mitigated by the treatment, this technique could eventually be used as a preventative treatment for DDH. Next, an in vitro approach will be used to quantify how much movement is needed for joint shape development. This research will provide an optimised protocol for applying biophysical stimuli to promote cartilage growth and morphogenesis in culture, providing valuable cues to cartilage tissue engineers. Finally, a computational simulation of joint shape morphogenesis will be created, which will integrate the new understanding gained from the experimental research in order to predict how different joints shapes develop in normal and abnormal mechanical environments.
Summary
Most joints start off the same during embryonic development, as two opposing cartilage surfaces, and are moulded into the diverse range of shapes seen in the adult in a process known as morphogenesis. While we understand very little of the biological or mechanobiological processes driving joint morphogenesis, there is evidence to suggest that fetal movements play a critical role in joint shape development. Developmental Dysplasia of the Hip (DDH), where the hip is partly or fully dislocated, is much more common when the baby’s movement is restricted or prevented. This proposal will determine how mechanical forces influence joint shape morphogenesis, which is of key relevance to neonatal joint conditions such as DDH, to adult joint health and disease, and to tissue engineering of cartilage. A mouse line in which mutant embryos have no skeletal muscle will be studied, providing the first in depth analysis of mammalian joint shape development for normal and abnormal mechanical environments. The mouse line could provide the first mammalian model system for prenatal onset DDH. ‘Passive’ movements of these mutant embryos will then be induced by massage of the mother, and the effects on the joints measured. If the effects on joint shape of absent spontaneous movement are mitigated by the treatment, this technique could eventually be used as a preventative treatment for DDH. Next, an in vitro approach will be used to quantify how much movement is needed for joint shape development. This research will provide an optimised protocol for applying biophysical stimuli to promote cartilage growth and morphogenesis in culture, providing valuable cues to cartilage tissue engineers. Finally, a computational simulation of joint shape morphogenesis will be created, which will integrate the new understanding gained from the experimental research in order to predict how different joints shapes develop in normal and abnormal mechanical environments.
Max ERC Funding
1 499 501 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym MiniMasonryTesting
Project Seismic Testing of 3D Printed Miniature Masonry in a Geotechnical Centrifuge
Researcher (PI) Michalis VASSILIOU
Host Institution (HI) EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Earthquakes are responsible for more than half of the human losses due to natural disasters. Masonry structures have been proven the most vulnerable both in the developing and in the developed world. Even though Masonry is one of the oldest building materials, our understanding of its behavior at the level of the structure (system level) is limited. Therefore, there is a need for extended shake table testing. But shake table tests are expensive and full-scale system-level testing of large buildings is only possible in a handful of shake tables in the globe – and at a huge cost.
We propose to take advantage of research developments in 3D printing and develop a method to perform system-level testing at a small scale using 3D printers and a geotechnical centrifuge (to preserve similitude). The key is to print materials with behavior controllable and similar to masonry. MiniMasonry testing proposes to control the properties of masonry via controlling the geometry of a 3D printed “meta”-mortar. The method will be developed via typical static masonry tests performed on the 3D printed parts. It will be further validated via comparing shaking table tests (in a centrifuge) of miniature structures to existing results of full-scale tests. The cost of the dynamic tests is expected to be so low, that multiple tests can be performed, so that existing numerical methods can be validated in the statistical sense. As a case study, the method will be applied to explore the behavior of a low-cost seismic isolation method that has been proposed for masonry structures in developing countries.
With the rapid evolution of 3D printing, it will be possible to scale-up the methods developed in MiniMasonryTesting, so that other Civil Engineering materials can be tested faster and cheaper than now. This is a game changer in structural testing, as it will enable researchers to test structures that up to now it was impossible or very expensive to test at a system level.
Summary
Earthquakes are responsible for more than half of the human losses due to natural disasters. Masonry structures have been proven the most vulnerable both in the developing and in the developed world. Even though Masonry is one of the oldest building materials, our understanding of its behavior at the level of the structure (system level) is limited. Therefore, there is a need for extended shake table testing. But shake table tests are expensive and full-scale system-level testing of large buildings is only possible in a handful of shake tables in the globe – and at a huge cost.
We propose to take advantage of research developments in 3D printing and develop a method to perform system-level testing at a small scale using 3D printers and a geotechnical centrifuge (to preserve similitude). The key is to print materials with behavior controllable and similar to masonry. MiniMasonry testing proposes to control the properties of masonry via controlling the geometry of a 3D printed “meta”-mortar. The method will be developed via typical static masonry tests performed on the 3D printed parts. It will be further validated via comparing shaking table tests (in a centrifuge) of miniature structures to existing results of full-scale tests. The cost of the dynamic tests is expected to be so low, that multiple tests can be performed, so that existing numerical methods can be validated in the statistical sense. As a case study, the method will be applied to explore the behavior of a low-cost seismic isolation method that has been proposed for masonry structures in developing countries.
With the rapid evolution of 3D printing, it will be possible to scale-up the methods developed in MiniMasonryTesting, so that other Civil Engineering materials can be tested faster and cheaper than now. This is a game changer in structural testing, as it will enable researchers to test structures that up to now it was impossible or very expensive to test at a system level.
Max ERC Funding
1 999 477 €
Duration
Start date: 2019-04-01, End date: 2024-03-31
Project acronym MONIFAULTS
Project Monitoring real faults towards their critical state
Researcher (PI) Piero POLI
Host Institution (HI) UNIVERSITE GRENOBLE ALPES
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary The last seismic sequence in Italy, responsible for 298 fatalities and important economic loss, remind us how urgent it is to improve our knowledge about earthquake physics to advance earthquake forecasting. While direct observations during laboratory earthquakes permit us to derive exhaustive physical models describing the behaviour of rocks and to forecast incoming lab-earthquakes, the complex physics governing the nucleation of earthquakes remain poorly understood in real Earth, and so does our ability to forecast earthquakes. I posit that this ‘ignorance’ emerges from our limited ability to unravel information about fault physics from geophysical data.The objective of this proposal is to introduce a new and integrated methodology to monitor the spatiotemporal evolution of elastic properties on real faults using seismological and geodetic data. We will apply machine learning and covariance matrix factorization for improved earthquake detection, and to discover ‘anomalous’ seismological signals, which will reveal unknown physical processes on faults. These novel observations will be integrated with time dependent measurements of rheology and deformation, obtained from cutting-edge techniques applied to continuous seismological and geodetic data. Our integrated monitoring approach will be applied to study how faults respond to known stress perturbations (as Earth tides). In parallel, we will analyse periods preceding significant earthquakes to assess how elastic properties and deformation evolve while a fault is approaching a critical (near rupture) state. Our natural laboratory will be Italy, given its excellent geodetic and seismological instrumentation, deep knowledge about faults geometry and the relevant risk posed by earthquakes. Our research will provide new insights about the complex physics of faults at critical state, necessary to understand how real earthquakes nucleate. This project will also have a major impact on observational earthquake forecast.
Summary
The last seismic sequence in Italy, responsible for 298 fatalities and important economic loss, remind us how urgent it is to improve our knowledge about earthquake physics to advance earthquake forecasting. While direct observations during laboratory earthquakes permit us to derive exhaustive physical models describing the behaviour of rocks and to forecast incoming lab-earthquakes, the complex physics governing the nucleation of earthquakes remain poorly understood in real Earth, and so does our ability to forecast earthquakes. I posit that this ‘ignorance’ emerges from our limited ability to unravel information about fault physics from geophysical data.The objective of this proposal is to introduce a new and integrated methodology to monitor the spatiotemporal evolution of elastic properties on real faults using seismological and geodetic data. We will apply machine learning and covariance matrix factorization for improved earthquake detection, and to discover ‘anomalous’ seismological signals, which will reveal unknown physical processes on faults. These novel observations will be integrated with time dependent measurements of rheology and deformation, obtained from cutting-edge techniques applied to continuous seismological and geodetic data. Our integrated monitoring approach will be applied to study how faults respond to known stress perturbations (as Earth tides). In parallel, we will analyse periods preceding significant earthquakes to assess how elastic properties and deformation evolve while a fault is approaching a critical (near rupture) state. Our natural laboratory will be Italy, given its excellent geodetic and seismological instrumentation, deep knowledge about faults geometry and the relevant risk posed by earthquakes. Our research will provide new insights about the complex physics of faults at critical state, necessary to understand how real earthquakes nucleate. This project will also have a major impact on observational earthquake forecast.
Max ERC Funding
1 393 174 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym MULT2D
Project Multiscale Mechanics of Bone Fragility in Type-2 Diabetes
Researcher (PI) Ted VAUGHAN
Host Institution (HI) NATIONAL UNIVERSITY OF IRELAND GALWAY
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Type-2 (T2) Diabetes is associated with a 3-fold increase in bone fracture risk, despite the fact that bone volume is not reduced. This implies that T2 diabetes impairs bone quality, whereby the intrinsic material properties of the bone matrix are altered. However, current diagnostic techniques are unable to predict fracture probability in T2 diabetes as they are based on measures of bone quantity. While it is believed that non-enzymatic cross-linking of organic proteins (also known as AGE accumulation) in the bone matrix is responsible for bone fragility in T2 diabetes, there is a distinct lack of understanding how altered protein configurations impair whole-bone biomechanics. In this project, the applicant will embark on frontier research that will develop a state-of-the-art multiscale computational framework that couples behaviour from the molecular to whole-bone level, providing a basis to interrogate and elucidate the physical mechanisms that are responsible for diabetic bone fragility. A multiscale experimental framework will, for the first time, establish relationships between AGE crosslink-density and whole-bone fragility in animal and human T2 diabetic bone tissue. Together, this data will inform a probabilistic mutli-level model of hip fracture, which will be used to quantitatively evaluate the relationship between hip fracture probability, bone quantity and bone quality. The research programme will also establish a novel strategy for clinical fracture risk assessment that employs existing protocols to measure bone quantity, in combination with a surrogate measure of bone quality. The surrogate measure of bone quality proposed is a systemic measure of AGE content, which is clinically-obtainable through a blood sample and therefore widely-applicable. Overall, the project will provide a ground-breaking advance in our understanding of bone fragility, with remarkable potential to innovate novel solutions for clinical assessment of T2 diabetic bone disease.
Summary
Type-2 (T2) Diabetes is associated with a 3-fold increase in bone fracture risk, despite the fact that bone volume is not reduced. This implies that T2 diabetes impairs bone quality, whereby the intrinsic material properties of the bone matrix are altered. However, current diagnostic techniques are unable to predict fracture probability in T2 diabetes as they are based on measures of bone quantity. While it is believed that non-enzymatic cross-linking of organic proteins (also known as AGE accumulation) in the bone matrix is responsible for bone fragility in T2 diabetes, there is a distinct lack of understanding how altered protein configurations impair whole-bone biomechanics. In this project, the applicant will embark on frontier research that will develop a state-of-the-art multiscale computational framework that couples behaviour from the molecular to whole-bone level, providing a basis to interrogate and elucidate the physical mechanisms that are responsible for diabetic bone fragility. A multiscale experimental framework will, for the first time, establish relationships between AGE crosslink-density and whole-bone fragility in animal and human T2 diabetic bone tissue. Together, this data will inform a probabilistic mutli-level model of hip fracture, which will be used to quantitatively evaluate the relationship between hip fracture probability, bone quantity and bone quality. The research programme will also establish a novel strategy for clinical fracture risk assessment that employs existing protocols to measure bone quantity, in combination with a surrogate measure of bone quality. The surrogate measure of bone quality proposed is a systemic measure of AGE content, which is clinically-obtainable through a blood sample and therefore widely-applicable. Overall, the project will provide a ground-breaking advance in our understanding of bone fragility, with remarkable potential to innovate novel solutions for clinical assessment of T2 diabetic bone disease.
Max ERC Funding
1 499 659 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym MUSYX
Project Multiscale Simulation of Crystal Defects
Researcher (PI) Christoph Ortner
Host Institution (HI) THE UNIVERSITY OF WARWICK
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary "The MUSYX project will develop a rigorous numerical analysis framework for assessing the accuracy of multiscale methods for simulating the dynamics of crystalline defects. The core focus of the research will be the analysis of approximation errors of atomistic-to-continuum (a/c) coupling methods and related multiscale schemes. The rigorous mathematical foundations, which will be the outcome of this work, will also lead to the construction of more robust and more efficient numerical algorithms.
The research will be undertaken within four distinct but closely related themes: Theme A: quasistatic evolutions up to and including bifurcation points (defect nucleation and evolution); Theme B: Transition paths, saddles, and transition rates between local minima (defect nucleation and diffusion at finite temperature); Theme C: Computation of defect formation energies within the framework of equilibrium statistical mechanics; Theme D: Fully dynamic problems. The four themes are connected through the focus on crystal defects and model interfaces (e.g., atomistic/continuum).
Themes A and B build on and significantly extend the theory of a/c coupling pioneered by the PI, which combines classical techniques of numerical analysis (consistency, stability) with modern concepts of multiscale and atomistic modeling. Theme C aims to develop an analogous theory for multiscale free energy calculations (precisely, defect formation energies). Theme D approaches the analysis of a fully dynamic multiscale scheme by analyzing its qualitative statistical properties."
Summary
"The MUSYX project will develop a rigorous numerical analysis framework for assessing the accuracy of multiscale methods for simulating the dynamics of crystalline defects. The core focus of the research will be the analysis of approximation errors of atomistic-to-continuum (a/c) coupling methods and related multiscale schemes. The rigorous mathematical foundations, which will be the outcome of this work, will also lead to the construction of more robust and more efficient numerical algorithms.
The research will be undertaken within four distinct but closely related themes: Theme A: quasistatic evolutions up to and including bifurcation points (defect nucleation and evolution); Theme B: Transition paths, saddles, and transition rates between local minima (defect nucleation and diffusion at finite temperature); Theme C: Computation of defect formation energies within the framework of equilibrium statistical mechanics; Theme D: Fully dynamic problems. The four themes are connected through the focus on crystal defects and model interfaces (e.g., atomistic/continuum).
Themes A and B build on and significantly extend the theory of a/c coupling pioneered by the PI, which combines classical techniques of numerical analysis (consistency, stability) with modern concepts of multiscale and atomistic modeling. Theme C aims to develop an analogous theory for multiscale free energy calculations (precisely, defect formation energies). Theme D approaches the analysis of a fully dynamic multiscale scheme by analyzing its qualitative statistical properties."
Max ERC Funding
1 111 793 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym NANO-TEC
Project Nano-engineered high performance Thermoelectric Energy Conversion devices
Researcher (PI) Maria De La Soledad Martin-Gonzalez
Host Institution (HI) AGENCIA ESTATAL CONSEJO SUPERIOR DEINVESTIGACIONES CIENTIFICAS
Call Details Starting Grant (StG), PE8, ERC-2009-StG
Summary Providing a sustainable supply of energy to the world s population will become a major societal problem for the 21st century. Thermoelectric materials, whose combination of thermal, electrical, and semiconducting properties, allows them to convert waste heat into electricity, are expected to play an increasingly important role in meeting the energy challenge of the future. Recent work on the theory of thermoelectric devices has led to the expectation that their performance could be enhanced if the diameter of the wires could be reduced to a point where quantum confinement effects increase charge-carrier mobility (thereby increasing the Seebeck coefficient) and reduce thermal conductivity. The predicted net effect of reducing diameters to the order of tens of nanometres would be to increase its efficiency or ZT index by a factor of 3. The objective of this five year proposal is to investigate and optimise the fabrication parameters influencing ZT in order to achieve a power conversion efficiency of >20%. For that, low dimensional nanowires arrays of state of art n and p-type materials will be prepared by cost-effective mass-production electrochemical methods. In order to obtained devices with a ZT >2 for application in energy scavenging and as cooler/heating devices, three approaches will be followed: a) determination of the best materials for each temperature range (n and p type) optimizing composition, microstructure, shapes (core/shell, nanowire surface texture, heterostructures), interfaces and orientations, b) advanced characterization, device development and modeling will be used iteratively during nanostructures and materials optimization, and c) nano-engineering less conventional thermoelectric like cage compounds by electrodeposition methods. This proposal aims to generate a cutting edge project in the thermoelectric field and, if successful, a more efficient way to harness precious, but nowadays wasted energy.
Summary
Providing a sustainable supply of energy to the world s population will become a major societal problem for the 21st century. Thermoelectric materials, whose combination of thermal, electrical, and semiconducting properties, allows them to convert waste heat into electricity, are expected to play an increasingly important role in meeting the energy challenge of the future. Recent work on the theory of thermoelectric devices has led to the expectation that their performance could be enhanced if the diameter of the wires could be reduced to a point where quantum confinement effects increase charge-carrier mobility (thereby increasing the Seebeck coefficient) and reduce thermal conductivity. The predicted net effect of reducing diameters to the order of tens of nanometres would be to increase its efficiency or ZT index by a factor of 3. The objective of this five year proposal is to investigate and optimise the fabrication parameters influencing ZT in order to achieve a power conversion efficiency of >20%. For that, low dimensional nanowires arrays of state of art n and p-type materials will be prepared by cost-effective mass-production electrochemical methods. In order to obtained devices with a ZT >2 for application in energy scavenging and as cooler/heating devices, three approaches will be followed: a) determination of the best materials for each temperature range (n and p type) optimizing composition, microstructure, shapes (core/shell, nanowire surface texture, heterostructures), interfaces and orientations, b) advanced characterization, device development and modeling will be used iteratively during nanostructures and materials optimization, and c) nano-engineering less conventional thermoelectric like cage compounds by electrodeposition methods. This proposal aims to generate a cutting edge project in the thermoelectric field and, if successful, a more efficient way to harness precious, but nowadays wasted energy.
Max ERC Funding
1 228 000 €
Duration
Start date: 2010-03-01, End date: 2016-02-29
Project acronym NODAL
Project Nodal Lines
Researcher (PI) Igor Wigman
Host Institution (HI) KING'S COLLEGE LONDON
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary "First observed by the physicist and musician Ernst Chladni in the 18th century, the nodal lines
(also referred to as the Chladni Plates or Chladni Modes) appear in many problems in engineering, physics and natural sciences. Nodal lines describe sets that remain stationary during membrane vibrations, hence their importance in such diverse areas as musical instruments industry, mechanical structures, earthquake study and other fields. My proposed research aims at the nodal patterns and question arising from them with mathematical rigour.
So far, the nodal structures have been mainly addressed in the physics literature, whose statement are lacking the mathematical precision; most of their results are based on numerical experiments and heuristic computations rather than analytic methods typical for mathematics. In his seminal paper, Michael Berry (1977) suggested that the behaviour of the deterministic nodal patterns corresponding to the high frequency vibration on generic membranes is universal, and may be ""miraculously"" explained by a random ensemble of monochromatic waves. Extensive numerical experiments confirm Berry's predictions, however no rigorous statement is known (or even formulated) to date.
In this research I propose to investigate the nodal structures in depth arising for various random ensembles. These kind of questions, very natural, especially in light of the proposed random models, were studied empirically in physics literature, and in the last few years analytically in the mathematics literature, mainly by Nazarov and Sodin, and the PI in various collaborations. The questions arising are of fundamental importance in mathematical physics, probability theory, mathematical analysis, and, as was recently discovered, number theory. The proposed research aims at rigorously answering some of the related open questions."
Summary
"First observed by the physicist and musician Ernst Chladni in the 18th century, the nodal lines
(also referred to as the Chladni Plates or Chladni Modes) appear in many problems in engineering, physics and natural sciences. Nodal lines describe sets that remain stationary during membrane vibrations, hence their importance in such diverse areas as musical instruments industry, mechanical structures, earthquake study and other fields. My proposed research aims at the nodal patterns and question arising from them with mathematical rigour.
So far, the nodal structures have been mainly addressed in the physics literature, whose statement are lacking the mathematical precision; most of their results are based on numerical experiments and heuristic computations rather than analytic methods typical for mathematics. In his seminal paper, Michael Berry (1977) suggested that the behaviour of the deterministic nodal patterns corresponding to the high frequency vibration on generic membranes is universal, and may be ""miraculously"" explained by a random ensemble of monochromatic waves. Extensive numerical experiments confirm Berry's predictions, however no rigorous statement is known (or even formulated) to date.
In this research I propose to investigate the nodal structures in depth arising for various random ensembles. These kind of questions, very natural, especially in light of the proposed random models, were studied empirically in physics literature, and in the last few years analytically in the mathematics literature, mainly by Nazarov and Sodin, and the PI in various collaborations. The questions arising are of fundamental importance in mathematical physics, probability theory, mathematical analysis, and, as was recently discovered, number theory. The proposed research aims at rigorously answering some of the related open questions."
Max ERC Funding
966 361 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym NUSIKIMO
Project Numerical simulations and analysis of kinetic models - Applications to plasma physics and Nanotechnology
Researcher (PI) Francis Filbet
Host Institution (HI) UNIVERSITE LYON 1 CLAUDE BERNARD
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary This project is devoted to the mathematical and numerical analysis in statistical physics with a special interest to applications in Plasma Physics and nanotechnology with Micro Electro Mechanical Systems (MEMS). We propose to achieve numerical simulations in plasma physics by fully deterministic methods. Using super-computers, a non stationary collisional plasma can be modelled taking into account Coulombian interactions and self-consistent electromagnetic fields to study different regimes and instabilities. These methods are based on high order and conservative finite volume schemes for the transport and fast multi-grid methods for the treatment of collisions. The first application is the simulation of fast ignition or Inertial Confinement Fusion, which is an important issue in plasma physics. Here, the main difficulty concerns the modelling of collisions of relativistic particles and the development of new algorithms for their treatment. Another part is devoted to the derivation of moments models which require less computational effort but keep the main properties of the initial models. The second application concerns micro and nanotechnologies, which are expected to play a very important role in the development of MEMS. Since the scale of micro flows is often comparable with the molecular mean free path, it is necessary to adopt the point of view of kinetic theory. Then applications of kinetic theory methods to micro flows are becoming very important and an accurate approximation of the Boltzmann equation is a key issue. Even nowadays a deterministic numerical solution of the Boltzmann equation still represents a challenge for scientific computing. Recently, a new class of algorithms based on spectral techniques in the velocity space has been been developed for the trend to equilibrium. The next important step is to treat applications for MEMS in nanotechnology for which the main difficulty is to treat complex geometries and moving boundary problems.
Summary
This project is devoted to the mathematical and numerical analysis in statistical physics with a special interest to applications in Plasma Physics and nanotechnology with Micro Electro Mechanical Systems (MEMS). We propose to achieve numerical simulations in plasma physics by fully deterministic methods. Using super-computers, a non stationary collisional plasma can be modelled taking into account Coulombian interactions and self-consistent electromagnetic fields to study different regimes and instabilities. These methods are based on high order and conservative finite volume schemes for the transport and fast multi-grid methods for the treatment of collisions. The first application is the simulation of fast ignition or Inertial Confinement Fusion, which is an important issue in plasma physics. Here, the main difficulty concerns the modelling of collisions of relativistic particles and the development of new algorithms for their treatment. Another part is devoted to the derivation of moments models which require less computational effort but keep the main properties of the initial models. The second application concerns micro and nanotechnologies, which are expected to play a very important role in the development of MEMS. Since the scale of micro flows is often comparable with the molecular mean free path, it is necessary to adopt the point of view of kinetic theory. Then applications of kinetic theory methods to micro flows are becoming very important and an accurate approximation of the Boltzmann equation is a key issue. Even nowadays a deterministic numerical solution of the Boltzmann equation still represents a challenge for scientific computing. Recently, a new class of algorithms based on spectral techniques in the velocity space has been been developed for the trend to equilibrium. The next important step is to treat applications for MEMS in nanotechnology for which the main difficulty is to treat complex geometries and moving boundary problems.
Max ERC Funding
490 000 €
Duration
Start date: 2010-01-01, End date: 2014-12-31
Project acronym OceaNice
Project Paleoceanography of the Ice-proximal Southern Ocean during Past Warm Climates
Researcher (PI) Peter BIJL
Host Institution (HI) UNIVERSITEIT UTRECHT
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary Antarctic ice sheets are destabilizing because Southern Ocean warming causes basal melt. It is unknown how these processes will develop during future climate warming, which creates an inability to project ice sheet melt and thus global sea level rise scenarios into the future. Studying past geologic episodes, during which atmospheric carbon dioxide levels (CO2) were similar to those projected for this century and beyond, is the only way to achieve mechanistic understanding of long-term ice sheet- and ocean dynamics in warm climates. Past ocean-induced ice sheet melt is not resolved because of a paucity of quantitative proxies for past ice-proximal oceanographic conditions: sea ice, upwelling of warm water and latitudinal temperature gradients. This hampers accurate projections of future ice sheet melt and sea level rise.
OceaNice will provide an integral understanding of the role of oceanography in ice sheet behavior during past warm climates, as analogy to the future. I will quantify past sea ice, upwelling of warm water and latitudinal temperature gradients in three steps:
1. Calibrate newly developed dinoflagellate cyst and biomarker proxies for past oceanographic conditions to glacial-interglacial oceanographic changes. This yields quantitative tools for application further back in time.
2. Apply these to two past warm climate states, during which CO2 was comparable to that of the future under strong and moderate fossil fuel emission mitigation scenarios.
3. Interpolate between new reconstructions using high-resolution ocean circulation modelling for circum-Antarctic quantification of past oceanographic conditions, which will be implemented into new ice sheet model simulations.
The groundbreaking new insights will deliver mechanistic understanding and quantitative estimates of ice-proximal oceanographic changes and consequent ice sheet melt during past warm climates, which will finally allow accurate future sea level rise projections given anticipated warming.
Summary
Antarctic ice sheets are destabilizing because Southern Ocean warming causes basal melt. It is unknown how these processes will develop during future climate warming, which creates an inability to project ice sheet melt and thus global sea level rise scenarios into the future. Studying past geologic episodes, during which atmospheric carbon dioxide levels (CO2) were similar to those projected for this century and beyond, is the only way to achieve mechanistic understanding of long-term ice sheet- and ocean dynamics in warm climates. Past ocean-induced ice sheet melt is not resolved because of a paucity of quantitative proxies for past ice-proximal oceanographic conditions: sea ice, upwelling of warm water and latitudinal temperature gradients. This hampers accurate projections of future ice sheet melt and sea level rise.
OceaNice will provide an integral understanding of the role of oceanography in ice sheet behavior during past warm climates, as analogy to the future. I will quantify past sea ice, upwelling of warm water and latitudinal temperature gradients in three steps:
1. Calibrate newly developed dinoflagellate cyst and biomarker proxies for past oceanographic conditions to glacial-interglacial oceanographic changes. This yields quantitative tools for application further back in time.
2. Apply these to two past warm climate states, during which CO2 was comparable to that of the future under strong and moderate fossil fuel emission mitigation scenarios.
3. Interpolate between new reconstructions using high-resolution ocean circulation modelling for circum-Antarctic quantification of past oceanographic conditions, which will be implemented into new ice sheet model simulations.
The groundbreaking new insights will deliver mechanistic understanding and quantitative estimates of ice-proximal oceanographic changes and consequent ice sheet melt during past warm climates, which will finally allow accurate future sea level rise projections given anticipated warming.
Max ERC Funding
1 500 000 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym OldCO2NewArchives
Project CO2 reconstruction over the last 100 Myr from novel geological archives
Researcher (PI) James Rae
Host Institution (HI) THE UNIVERSITY COURT OF THE UNIVERSITY OF ST ANDREWS
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary CO2 exerts a major control on Earth’s environment, including ocean acidity and global climate. Human carbon emissions have elevated CO2 levels to above 400 ppm, substantially higher than at any time in the 800,000 year ice core record. If we want to understand how Earth’s environment and climate will respond to a high CO2 world, we need to look deeper into the geological past. This project provides a novel way to reconstruct ocean pH and atmospheric CO2 levels over the last 100 Myr. This will allow us to fathom the fundamental mechanisms governing Earth’s environmental evolution, and improve predictions of environmental response to CO2 change in the future.
Atmospheric CO2 and ocean pH are closely coupled, because CO2 is acidic and is readily exchanged between the ocean and atmosphere. If ocean pH is known, we can place strong constraints on atmospheric CO2. Thanks to recent developments in geochemistry, it is possible to reconstruct changes in ocean pH using the boron isotope composition (d11B) of fossil shells. The well-studied systematics of this method and its underlying thermodynamic framework provide confidence in its application to the geological record. However calculation of pH from carbonate d11B requires knowledge of the boron isotope composition of past seawater d11Bsw. Here I propose novel strategies and techniques with new or underutilized archives (evaporites, shallow carbonates, and infaunal foraminifera) to constrain this crucial parameter.
With d11BSW constrained, new d11B records from benthic foraminifera will provide a 100 Myr record of ocean pH. This benchmark reconstruction will be used to test key hypotheses on major environmental change in the geological record, and to constrain atmospheric CO2 using a state-of-the-art biogeochemical model. These paired data and modelling outcomes will provide a major step forward in our understanding of the fundamental processes regulating Earth’s climate and long-term habitability.
Summary
CO2 exerts a major control on Earth’s environment, including ocean acidity and global climate. Human carbon emissions have elevated CO2 levels to above 400 ppm, substantially higher than at any time in the 800,000 year ice core record. If we want to understand how Earth’s environment and climate will respond to a high CO2 world, we need to look deeper into the geological past. This project provides a novel way to reconstruct ocean pH and atmospheric CO2 levels over the last 100 Myr. This will allow us to fathom the fundamental mechanisms governing Earth’s environmental evolution, and improve predictions of environmental response to CO2 change in the future.
Atmospheric CO2 and ocean pH are closely coupled, because CO2 is acidic and is readily exchanged between the ocean and atmosphere. If ocean pH is known, we can place strong constraints on atmospheric CO2. Thanks to recent developments in geochemistry, it is possible to reconstruct changes in ocean pH using the boron isotope composition (d11B) of fossil shells. The well-studied systematics of this method and its underlying thermodynamic framework provide confidence in its application to the geological record. However calculation of pH from carbonate d11B requires knowledge of the boron isotope composition of past seawater d11Bsw. Here I propose novel strategies and techniques with new or underutilized archives (evaporites, shallow carbonates, and infaunal foraminifera) to constrain this crucial parameter.
With d11BSW constrained, new d11B records from benthic foraminifera will provide a 100 Myr record of ocean pH. This benchmark reconstruction will be used to test key hypotheses on major environmental change in the geological record, and to constrain atmospheric CO2 using a state-of-the-art biogeochemical model. These paired data and modelling outcomes will provide a major step forward in our understanding of the fundamental processes regulating Earth’s climate and long-term habitability.
Max ERC Funding
1 996 784 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym OPENGWTRIANGLE
Project Three ideas in open Gromov-Witten theory
Researcher (PI) Jake P. Solomon
Host Institution (HI) THE HEBREW UNIVERSITY OF JERUSALEM
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary The questions motivating symplectic geometry, from classical mechanics to enumerative algebraic geometry, have been studied for centuries. Many recent advances in the field have stemmed from the theory of J-holomorphic curves, and in particular Gromov-Witten theory. The past 25 years of research have produced a fairly detailed picture of what can be expected from classical, closed Gromov-Witten theory. However, closed Gromov-Witten theory by itself lacks an interface with Lagrangian submanifolds, one of the fundamental structures of symplectic geometry. The nascent open Gromov-Witten theory, in which Lagrangian submanifolds enter as boundary conditions for J-holomorphic curves, provides such an interface.
The goal of the proposed research is to broaden and systematize our understanding of open Gromov-Witten theory. My strategy leverages three connections with more established fields of research to uncover new aspects of open Gromov-Witten theory. In return, open Gromov-Witten theory advances the connected fields and reveals links between them. First, the closed and open Gromov-Witten theories are intertwined. Representation theoretic structures in closed Gromov-Witten theory admit mixed open closed extensions. Further, real algebraic geometry gives rise to a large variety of Lagrangian submanifolds providing an important source of intuition for open Gromov Witten theory. In return, open Gromov-Witten theory techniques advance Welschinger's real enumerative geometry. Finally, open Gromov-Witten theory plays a key role in mirror symmetry, a conjectural correspondence between symplectic and complex geometry originating from string theory. In particular, open Gromov-Witten invariants appear in the construction of mirror geometries. Moreover, under mirror symmetry, Lagrangian submanifolds correspond roughly to holomorphic vector bundles. Well understood functionals associated to holomorphic vector bundles go over to open Gromov-Witten invariants.
Summary
The questions motivating symplectic geometry, from classical mechanics to enumerative algebraic geometry, have been studied for centuries. Many recent advances in the field have stemmed from the theory of J-holomorphic curves, and in particular Gromov-Witten theory. The past 25 years of research have produced a fairly detailed picture of what can be expected from classical, closed Gromov-Witten theory. However, closed Gromov-Witten theory by itself lacks an interface with Lagrangian submanifolds, one of the fundamental structures of symplectic geometry. The nascent open Gromov-Witten theory, in which Lagrangian submanifolds enter as boundary conditions for J-holomorphic curves, provides such an interface.
The goal of the proposed research is to broaden and systematize our understanding of open Gromov-Witten theory. My strategy leverages three connections with more established fields of research to uncover new aspects of open Gromov-Witten theory. In return, open Gromov-Witten theory advances the connected fields and reveals links between them. First, the closed and open Gromov-Witten theories are intertwined. Representation theoretic structures in closed Gromov-Witten theory admit mixed open closed extensions. Further, real algebraic geometry gives rise to a large variety of Lagrangian submanifolds providing an important source of intuition for open Gromov Witten theory. In return, open Gromov-Witten theory techniques advance Welschinger's real enumerative geometry. Finally, open Gromov-Witten theory plays a key role in mirror symmetry, a conjectural correspondence between symplectic and complex geometry originating from string theory. In particular, open Gromov-Witten invariants appear in the construction of mirror geometries. Moreover, under mirror symmetry, Lagrangian submanifolds correspond roughly to holomorphic vector bundles. Well understood functionals associated to holomorphic vector bundles go over to open Gromov-Witten invariants.
Max ERC Funding
1 249 000 €
Duration
Start date: 2013-10-01, End date: 2018-09-30
Project acronym PACE
Project Precedents for Algal Adaptation to Atmospheric CO2: New indicators for eukaryotic algal response to the last 60 million years of CO2 variation
Researcher (PI) Heather Marie Stoll
Host Institution (HI) UNIVERSIDAD DE OVIEDO
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary Evolution of marine algae over the last 60 million years has resulted in a fundamental change in the efficiency of biological carbon pump and shift from communities dominated by calcifying algae (like coccolithophorids) to siliceous diatoms and major size class changes among these groups. The inferred shift in atmospheric CO2 over this time period has been suggested as an important selective pressure on some of these responses, including diatom adaptation to lower atmospheric CO2 concentrations via use of the C4 photosynthetic pathway, and trends towards smaller coccolithophorid cell sizes in response to greater C limitation. If current trends continue, future changes in atmospheric CO2 from anthropogenic activities are likely to reach levels last seen in the Eocene by the end of the next century; such changes will also be accompanied by ocean acidification and changes in stratification. Evidence suggests that modern calcifying algae and diatoms may employ a range of carbon acquisition strategies (such as active carbon concentrating mechanisms) according to the pH and carbon speciation of the seawater in which they live. However calcifying populations from 60 million years ago apparently had a single or less diverse array of carbon acquisition strategies. In this project we thus seek to 1) to identify and calibrate novel fossil indicators for adaptation and evolution in carbon acquisition strategies in eukaryotic algae in response to past changes in the carbon cycle and atmospheric CO2, and 2) apply these indicators to establish the nature and timing of changes in carbon acquisition strategies by algae over the past 60 million years.
Summary
Evolution of marine algae over the last 60 million years has resulted in a fundamental change in the efficiency of biological carbon pump and shift from communities dominated by calcifying algae (like coccolithophorids) to siliceous diatoms and major size class changes among these groups. The inferred shift in atmospheric CO2 over this time period has been suggested as an important selective pressure on some of these responses, including diatom adaptation to lower atmospheric CO2 concentrations via use of the C4 photosynthetic pathway, and trends towards smaller coccolithophorid cell sizes in response to greater C limitation. If current trends continue, future changes in atmospheric CO2 from anthropogenic activities are likely to reach levels last seen in the Eocene by the end of the next century; such changes will also be accompanied by ocean acidification and changes in stratification. Evidence suggests that modern calcifying algae and diatoms may employ a range of carbon acquisition strategies (such as active carbon concentrating mechanisms) according to the pH and carbon speciation of the seawater in which they live. However calcifying populations from 60 million years ago apparently had a single or less diverse array of carbon acquisition strategies. In this project we thus seek to 1) to identify and calibrate novel fossil indicators for adaptation and evolution in carbon acquisition strategies in eukaryotic algae in response to past changes in the carbon cycle and atmospheric CO2, and 2) apply these indicators to establish the nature and timing of changes in carbon acquisition strategies by algae over the past 60 million years.
Max ERC Funding
1 774 875 €
Duration
Start date: 2009-12-01, End date: 2015-11-30
Project acronym PariTorMod
Project P-adic Arithmetic Geometry, Torsion Classes, and Modularity
Researcher (PI) Ana CARAIANI
Host Institution (HI) IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary The overall theme of the proposal is the interplay between p-adic arithmetic geometry and the Langlands correspondence for number fields. At the heart of the Langlands program lies reciprocity, which connects Galois representations to automorphic forms. Recently, new developments in p-adic arithmetic geometry, such as the theory of perfectoid spaces, have had a transformative effect on the field. This proposal would establish a research group that will develop and exploit novel techniques, that will allow us to move significantly beyond the state of art. I intend to make fundamental progress on three major interlinked problems.
Torsion in the cohomology of Shimura varieties: in joint work with Scholze, I proved a strong vanishing result for torsion in the cohomology of compact unitary Shimura varieties. In work in progress, we have extended this to many non-compact cases. To obtain a complete picture, I propose to develop new techniques using point-counting and the trace formula and combine them with ingredients from arithmetic geometry.
Local-global compatibility is essential for establishing new instances of Langlands reciprocity. I will use the results on Shimura varieties described above to prove local-global compatibility for torsion in the cohomology of locally symmetric spaces for general linear groups over CM fields. This is one of the fundamental questions in the field. Solving it will require progress on a diverse set of problems in representation theory and integral p-adic Hodge theory.
The Fontaine–Mazur conjecture is the most general reciprocity conjecture. Very little is known outside the case of two-dimensional representations of the absolute Galois group of the rational numbers, which relies crucially on a connection to p-adic local Langlands. I will attack the Fontaine–Mazur conjecture for imaginary quadratic fields. Some crucial inputs will come from the first two projects above.
Summary
The overall theme of the proposal is the interplay between p-adic arithmetic geometry and the Langlands correspondence for number fields. At the heart of the Langlands program lies reciprocity, which connects Galois representations to automorphic forms. Recently, new developments in p-adic arithmetic geometry, such as the theory of perfectoid spaces, have had a transformative effect on the field. This proposal would establish a research group that will develop and exploit novel techniques, that will allow us to move significantly beyond the state of art. I intend to make fundamental progress on three major interlinked problems.
Torsion in the cohomology of Shimura varieties: in joint work with Scholze, I proved a strong vanishing result for torsion in the cohomology of compact unitary Shimura varieties. In work in progress, we have extended this to many non-compact cases. To obtain a complete picture, I propose to develop new techniques using point-counting and the trace formula and combine them with ingredients from arithmetic geometry.
Local-global compatibility is essential for establishing new instances of Langlands reciprocity. I will use the results on Shimura varieties described above to prove local-global compatibility for torsion in the cohomology of locally symmetric spaces for general linear groups over CM fields. This is one of the fundamental questions in the field. Solving it will require progress on a diverse set of problems in representation theory and integral p-adic Hodge theory.
The Fontaine–Mazur conjecture is the most general reciprocity conjecture. Very little is known outside the case of two-dimensional representations of the absolute Galois group of the rational numbers, which relies crucially on a connection to p-adic local Langlands. I will attack the Fontaine–Mazur conjecture for imaginary quadratic fields. Some crucial inputs will come from the first two projects above.
Max ERC Funding
1 469 805 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym PASSME
Project Air-sea gas exchange - PArameterization of the Sea-Surface Microlayer Effect
Researcher (PI) Oliver Wurl
Host Institution (HI) CARL VON OSSIETZKY UNIVERSITAET OLDENBURG
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary The Earth’s oceans absorb about 11 billion tonnes of carbon dioxide (CO2) each year, about 25% of all anthropogenic CO2. The oceans are huge reservoirs of CO2, and a better understanding on how the oceans absorb CO2 is critical for predicting climate change. The sea-surface microlayer (SML), the aqueous boundary layer between the ocean and atmosphere, plays an important role in the exchange of gases between the ocean and atmosphere. The effects of the SML on air-sea gas exchange have been widely ignored by past and current research efforts due to uncertainties to what extent the SML covers the oceans. However, we recently reported the ubiquitous coverage of the oceans with SML, which pushes the SML into a new and wider context that is relevant to many ocean and climate sciences.
I propose experiments at multiple scales, i.e. in laboratory tanks, wind wave tunnel, mesocosm and during a long-term field study. I propose a systematic field study measuring air-sea CO2 fluxes and mapping chemical, biological and physical properties of the SML. With the experiments on smaller scales, such measurements will allow for the first time (i) to define new parameters controlling gas fluxes, (ii) to quantify short-time and seasonal variability, (iii) to define global proxies for the effects of the SML, and (iv) to develop and apply a new parameterization for the correction of global CO2 flux data. For the first time, biogeochemical processes relevant to carbon cycling are investigated on the ocean’s surface at an interfacial level. Furthermore, I aim to reconstruct the natural composition of the SML in a wind-wave tunnel to study its ability to modify the ocean’s surface at well-defined wind regimes.
The results from the proposed studies can form the basis for an improvement of current assessments of CO2 fluxes, and oceanic uptake rates. A better understanding in the oceanic uptake of atmospheric CO2 is critical in predicting climate trends and establishing policies.
Summary
The Earth’s oceans absorb about 11 billion tonnes of carbon dioxide (CO2) each year, about 25% of all anthropogenic CO2. The oceans are huge reservoirs of CO2, and a better understanding on how the oceans absorb CO2 is critical for predicting climate change. The sea-surface microlayer (SML), the aqueous boundary layer between the ocean and atmosphere, plays an important role in the exchange of gases between the ocean and atmosphere. The effects of the SML on air-sea gas exchange have been widely ignored by past and current research efforts due to uncertainties to what extent the SML covers the oceans. However, we recently reported the ubiquitous coverage of the oceans with SML, which pushes the SML into a new and wider context that is relevant to many ocean and climate sciences.
I propose experiments at multiple scales, i.e. in laboratory tanks, wind wave tunnel, mesocosm and during a long-term field study. I propose a systematic field study measuring air-sea CO2 fluxes and mapping chemical, biological and physical properties of the SML. With the experiments on smaller scales, such measurements will allow for the first time (i) to define new parameters controlling gas fluxes, (ii) to quantify short-time and seasonal variability, (iii) to define global proxies for the effects of the SML, and (iv) to develop and apply a new parameterization for the correction of global CO2 flux data. For the first time, biogeochemical processes relevant to carbon cycling are investigated on the ocean’s surface at an interfacial level. Furthermore, I aim to reconstruct the natural composition of the SML in a wind-wave tunnel to study its ability to modify the ocean’s surface at well-defined wind regimes.
The results from the proposed studies can form the basis for an improvement of current assessments of CO2 fluxes, and oceanic uptake rates. A better understanding in the oceanic uptake of atmospheric CO2 is critical in predicting climate trends and establishing policies.
Max ERC Funding
1 485 797 €
Duration
Start date: 2014-04-01, End date: 2019-03-31
Project acronym PATHWISE
Project Pathwise methods and stochastic calculus in the path towards understanding high-dimensional phenomena
Researcher (PI) Ronen ELDAN
Host Institution (HI) WEIZMANN INSTITUTE OF SCIENCE
Call Details Starting Grant (StG), PE1, ERC-2018-STG
Summary Concepts from the theory of high-dimensional phenomena play a role in several areas of mathematics, statistics and computer science. Many results in this theory rely on tools and ideas originating in adjacent fields, such as transportation of measure, semigroup theory and potential theory. In recent years, a new symbiosis with the theory of stochastic calculus is emerging.
In a few recent works, by developing a novel approach of pathwise analysis, my coauthors and I managed to make progress in several central high-dimensional problems. This emerging method relies on the introduction of a stochastic process which allows one to associate quantities and properties related to the high-dimensional object of interest to corresponding notions in stochastic calculus, thus making the former tractable through the analysis of the latter.
We propose to extend this approach towards several long-standing open problems in high dimensional probability and geometry. First, we aim to explore the role of convexity in concentration inequalities, focusing on three central conjectures regarding the distribution of mass on high dimensional convex bodies: the Kannan-Lov'asz-Simonovits (KLS) conjecture, the variance conjecture and the hyperplane conjecture as well as emerging connections with quantitative central limit theorems, entropic jumps and stability bounds for the Brunn-Minkowski inequality. Second, we are interested in dimension-free inequalities in Gaussian space and on the Boolean hypercube: isoperimetric and noise-stability inequalities and robustness thereof, transportation-entropy and concentration inequalities, regularization properties of the heat-kernel and L_1 versions of hypercontractivity. Finally, we are interested in developing new methods for the analysis of Gibbs distributions with a mean-field behavior, related to the new theory of nonlinear large deviations, and towards questions regarding interacting particle systems and the analysis of large networks.
Summary
Concepts from the theory of high-dimensional phenomena play a role in several areas of mathematics, statistics and computer science. Many results in this theory rely on tools and ideas originating in adjacent fields, such as transportation of measure, semigroup theory and potential theory. In recent years, a new symbiosis with the theory of stochastic calculus is emerging.
In a few recent works, by developing a novel approach of pathwise analysis, my coauthors and I managed to make progress in several central high-dimensional problems. This emerging method relies on the introduction of a stochastic process which allows one to associate quantities and properties related to the high-dimensional object of interest to corresponding notions in stochastic calculus, thus making the former tractable through the analysis of the latter.
We propose to extend this approach towards several long-standing open problems in high dimensional probability and geometry. First, we aim to explore the role of convexity in concentration inequalities, focusing on three central conjectures regarding the distribution of mass on high dimensional convex bodies: the Kannan-Lov'asz-Simonovits (KLS) conjecture, the variance conjecture and the hyperplane conjecture as well as emerging connections with quantitative central limit theorems, entropic jumps and stability bounds for the Brunn-Minkowski inequality. Second, we are interested in dimension-free inequalities in Gaussian space and on the Boolean hypercube: isoperimetric and noise-stability inequalities and robustness thereof, transportation-entropy and concentration inequalities, regularization properties of the heat-kernel and L_1 versions of hypercontractivity. Finally, we are interested in developing new methods for the analysis of Gibbs distributions with a mean-field behavior, related to the new theory of nonlinear large deviations, and towards questions regarding interacting particle systems and the analysis of large networks.
Max ERC Funding
1 308 188 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym PCG
Project The Elementary Theory of Partially Commutative Groups
Researcher (PI) Ilya Kazachkov
Host Institution (HI) UNIVERSIDAD DEL PAIS VASCO/ EUSKAL HERRIKO UNIBERTSITATEA
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary "The solution of Tarski's problems on the first-order theory of free
groups has uncovered deep connections between Model Theory, Geometry
and Group Theory and served as a nexus and motivation for many
classical results in Geometric Group Theory and Theoretical Computer
Science.
Just as the Tarski problems connected the theory of free groups with
the geometry of trees, our goal is to point at a new direction in
Group Theory and develop appropriate generalisations of the techniques
and results whose nature is based on the geometry of higher
dimensional counterparts of trees and interplays with the theory of
partially commutative groups, notably the theory of groups acting on
real cubings.
We then shall apply these tools to approach fundamental questions in
the model theory of partially commutative groups: classify finitely
generated groups elementarily equivalent to a given partially
commutative group and prove decidability and stability of their
first-order theory."
Summary
"The solution of Tarski's problems on the first-order theory of free
groups has uncovered deep connections between Model Theory, Geometry
and Group Theory and served as a nexus and motivation for many
classical results in Geometric Group Theory and Theoretical Computer
Science.
Just as the Tarski problems connected the theory of free groups with
the geometry of trees, our goal is to point at a new direction in
Group Theory and develop appropriate generalisations of the techniques
and results whose nature is based on the geometry of higher
dimensional counterparts of trees and interplays with the theory of
partially commutative groups, notably the theory of groups acting on
real cubings.
We then shall apply these tools to approach fundamental questions in
the model theory of partially commutative groups: classify finitely
generated groups elementarily equivalent to a given partially
commutative group and prove decidability and stability of their
first-order theory."
Max ERC Funding
1 021 217 €
Duration
Start date: 2014-09-01, End date: 2019-08-31
Project acronym PETA-CARB
Project Rapid Permafrost Thaw in a Warming Arctic and Impacts on the Soil Organic Carbon Pool
Researcher (PI) Guido Grosse
Host Institution (HI) ALFRED-WEGENER-INSTITUT HELMHOLTZ-ZENTRUM FUR POLAR- UND MEERESFORSCHUNG
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary In a warming Arctic, frozen soil organic carbon (SOC) stored in permafrost will increasingly become vulnerable to thaw and mobilization. Over millennia, permafrost soils accumulated about 1672 Petagram of SOC, about twice the carbon currently in the atmosphere. Rapid permafrost thaw (thermokarst) releases fossil SOC as greenhouse gases, constituting a positive feedback to global warming. However, complex landscape, hydrological, and ecological feedbacks necessitate quantification of landscape scale carbon pools and fluxes in Arctic permafrost regions. A globally important question is whether permafrost soils will turn from a natural carbon sink into a source.
The project combines remote sensing based change detection, mapping, and spatial data analysis for permafrost landscapes, quantitative field studies, and modelling of thermokarst processes to quantify the size and vulnerability of deep permafrost SOC pools to rapid permafrost thaw and resulting impacts. The three research topics are: (1) Systematic measurement of rapid permafrost thaw, (2) Determining deep permafrost SOC stocks and carbon accumulation rates, and (3) Quantification of deep permafrost SOC pools and vulnerability assessment.
The project will provide for the first time quantitative data on rapid permafrost thaw over large regions, provide first-time data on the size of SOC pool components related to thermokarst, substantially enhance previous SOC pool estimates for Yedoma deposits and arctic river deltas, and characterize overall permafrost SOC distribution and vulnerability to thaw. It will answer the question of how climate change affects permafrost SOC pools and how permafrost thaw feeds back to climate.
Summary
In a warming Arctic, frozen soil organic carbon (SOC) stored in permafrost will increasingly become vulnerable to thaw and mobilization. Over millennia, permafrost soils accumulated about 1672 Petagram of SOC, about twice the carbon currently in the atmosphere. Rapid permafrost thaw (thermokarst) releases fossil SOC as greenhouse gases, constituting a positive feedback to global warming. However, complex landscape, hydrological, and ecological feedbacks necessitate quantification of landscape scale carbon pools and fluxes in Arctic permafrost regions. A globally important question is whether permafrost soils will turn from a natural carbon sink into a source.
The project combines remote sensing based change detection, mapping, and spatial data analysis for permafrost landscapes, quantitative field studies, and modelling of thermokarst processes to quantify the size and vulnerability of deep permafrost SOC pools to rapid permafrost thaw and resulting impacts. The three research topics are: (1) Systematic measurement of rapid permafrost thaw, (2) Determining deep permafrost SOC stocks and carbon accumulation rates, and (3) Quantification of deep permafrost SOC pools and vulnerability assessment.
The project will provide for the first time quantitative data on rapid permafrost thaw over large regions, provide first-time data on the size of SOC pool components related to thermokarst, substantially enhance previous SOC pool estimates for Yedoma deposits and arctic river deltas, and characterize overall permafrost SOC distribution and vulnerability to thaw. It will answer the question of how climate change affects permafrost SOC pools and how permafrost thaw feeds back to climate.
Max ERC Funding
1 786 966 €
Duration
Start date: 2013-11-01, End date: 2018-10-31
Project acronym PLASMATS
Project Plasma-assisted development and functionalization of electrospun mats for tissue engineering purposes
Researcher (PI) Nathalie Marie-Thérèse De Geyter
Host Institution (HI) UNIVERSITEIT GENT
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary "In this project, I will explore the unique combination of two fascinating research themes: electrospinning and plasma technology. Electrospun nanofibrous matrices (so-called mats) are an exciting class of materials with a wide range of possible applications. Nevertheless, the development and functionalization of these electrospun materials remain very challenging tasks.
Atmospheric pressure plasma technology will be utilized by my research group to create advanced biodegradable electrospun mats with unprecedented functionality and performance. To realise such a major breakthrough, plasma technology will be implemented in different steps of the manufacturing process: pre-electrospinning and post-electrospinning.
My group will focus on four cornerstone research lines, which have been carefully chosen so that all critical issues one could encounter in creating advanced biodegradable electrospun mats are tackled. Research cornerstone A aims to develop biodegradable electrospun mats with appropriate bulk properties, while in research cornerstone B pre-electrospinning polymer solutions will be exposed to non-thermal atmospheric plasmas. This will be realized by probing unexplored concepts such as discharges created inside polymer solutions. In a third cornerstone C, an in-depth study of the interactions between an atmospheric pressure plasma and an electrospun mat will be carried out. Finally, the last cornerstone D will focus on plasma-assisted surface modification of biodegradable electrospun mats for tissue engineering purposes.
Realization of these four cornerstones would result in a major breakthrough in their specific field which makes this proposal inherently a relatively high risk/very high gain proposal. I therefore strongly believe that this research program will open a whole new window of opportunities for electrospun materials with a large impact on science and society."
Summary
"In this project, I will explore the unique combination of two fascinating research themes: electrospinning and plasma technology. Electrospun nanofibrous matrices (so-called mats) are an exciting class of materials with a wide range of possible applications. Nevertheless, the development and functionalization of these electrospun materials remain very challenging tasks.
Atmospheric pressure plasma technology will be utilized by my research group to create advanced biodegradable electrospun mats with unprecedented functionality and performance. To realise such a major breakthrough, plasma technology will be implemented in different steps of the manufacturing process: pre-electrospinning and post-electrospinning.
My group will focus on four cornerstone research lines, which have been carefully chosen so that all critical issues one could encounter in creating advanced biodegradable electrospun mats are tackled. Research cornerstone A aims to develop biodegradable electrospun mats with appropriate bulk properties, while in research cornerstone B pre-electrospinning polymer solutions will be exposed to non-thermal atmospheric plasmas. This will be realized by probing unexplored concepts such as discharges created inside polymer solutions. In a third cornerstone C, an in-depth study of the interactions between an atmospheric pressure plasma and an electrospun mat will be carried out. Finally, the last cornerstone D will focus on plasma-assisted surface modification of biodegradable electrospun mats for tissue engineering purposes.
Realization of these four cornerstones would result in a major breakthrough in their specific field which makes this proposal inherently a relatively high risk/very high gain proposal. I therefore strongly believe that this research program will open a whole new window of opportunities for electrospun materials with a large impact on science and society."
Max ERC Funding
1 391 100 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym PREDMODSIM
Project Predictive models and simulations in nano- and biomolecular mechanics: a multiscale approach
Researcher (PI) Marino Arroyo
Host Institution (HI) UNIVERSITAT POLITECNICA DE CATALUNYA
Call Details Starting Grant (StG), PE8, ERC-2009-StG
Summary The predictive ability of current simulations of interesting systems in nano- and biomolecular mechanics is questionable due to (1) uncertainties in material behavior of continuum models, (2) severe limitations of atomistic simulations in the computationally accessible length and time scales in relation with the scales of scientific and technological interest, and (3) the limited understanding gained from terabytes of data produced in supercomputing platforms. These difficulties seriously undermine the credibility of computer simulations, as well as their real impact in scientific and technological endeavors. Examples include fundamental challenges in materials science (structure-property relations), molecular biology (sequence-structure-function of proteins), or product engineering (virtual testing for analysis, optimization, control). This proposal addresses three important topics in nano- and biomolecular mechanics, whose full understanding and technological exploitation require predictive models and simulations: (1) Mechanics of carbon nanotubes at engineering scales, (2) Mechanics of fluid membranes in eukaryotic cells and bio-inspired technologies and (3) Local-to-global conformational space exploration and free energy calculations for biomolecules. We follow a multiscale approach, which seeks to incorporate the net effect of the small-scale phenomena described by fundamental models of physics into the coarser (computable) scales at which the system or device operates. In addition to specific impact in these applications, the proposed research is expected to exemplify the potential of multiscale approaches towards predictive and quantitative science and technology, as well as contribute to the credibility and utility of large investments in supercomputing.
Summary
The predictive ability of current simulations of interesting systems in nano- and biomolecular mechanics is questionable due to (1) uncertainties in material behavior of continuum models, (2) severe limitations of atomistic simulations in the computationally accessible length and time scales in relation with the scales of scientific and technological interest, and (3) the limited understanding gained from terabytes of data produced in supercomputing platforms. These difficulties seriously undermine the credibility of computer simulations, as well as their real impact in scientific and technological endeavors. Examples include fundamental challenges in materials science (structure-property relations), molecular biology (sequence-structure-function of proteins), or product engineering (virtual testing for analysis, optimization, control). This proposal addresses three important topics in nano- and biomolecular mechanics, whose full understanding and technological exploitation require predictive models and simulations: (1) Mechanics of carbon nanotubes at engineering scales, (2) Mechanics of fluid membranes in eukaryotic cells and bio-inspired technologies and (3) Local-to-global conformational space exploration and free energy calculations for biomolecules. We follow a multiscale approach, which seeks to incorporate the net effect of the small-scale phenomena described by fundamental models of physics into the coarser (computable) scales at which the system or device operates. In addition to specific impact in these applications, the proposed research is expected to exemplify the potential of multiscale approaches towards predictive and quantitative science and technology, as well as contribute to the credibility and utility of large investments in supercomputing.
Max ERC Funding
1 462 198 €
Duration
Start date: 2009-10-01, End date: 2014-09-30
Project acronym PRESEISMIC
Project Exploring the nucleation of large earthquakes: cascading and unpredictable or slowly driven and forecastable
Researcher (PI) Zacharie DUPUTEL
Host Institution (HI) CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary How do earthquakes begin? Answering this question is essential to understand fault mechanics but also to
determine our ability to forecast large earthquakes. Although it is well established that some events are preceded by foreshocks, contrasting views have been proposed on the nucleation of earthquakes. Do these foreshocks belong to a cascade of random failures leading to the mainshock? Are they triggered by an aseismic nucleation phase in which the fault slips slowly before accelerating to a dynamic, catastrophic rupture? Will we ever be able to monitor and predict the slow onset of earthquakes or are we doomed to observe random, unpredictable cascades of events? We are currently missing a robust tool for quantitative estimation of the proportion of seismic versus aseismic slip during the rupture initiation, cluttering our attempts at understanding what physical mechanisms control the relationship between foreshocks and the onset of large earthquakes.
The current explosion of available near-fault ground-motion observations is an unprecedented opportunity to capture the genesis of earthquakes along active faults. I will develop an entirely new method based a novel data assimilation procedure that will produce probabilistic time-dependent slip models assimilating geodetic, seismic and tsunami datasets. While slow and rapid fault processes are usually studied independently, this unified approach will address the relative contribution of seismic and aseismic deformation.
The first step is the development of a novel probabilistic data assimilation method providing reliable uncertainty estimates and combining multiple data types. The second step is a validation of the method and an application to investigate the onset of recent megathrust earthquakes in Chile and Japan. The third step is the extensive, global use of the algorithm to the continuous monitoring of time-dependent slip along active faults providing an automated detector of the nucleation of earthquakes.
Summary
How do earthquakes begin? Answering this question is essential to understand fault mechanics but also to
determine our ability to forecast large earthquakes. Although it is well established that some events are preceded by foreshocks, contrasting views have been proposed on the nucleation of earthquakes. Do these foreshocks belong to a cascade of random failures leading to the mainshock? Are they triggered by an aseismic nucleation phase in which the fault slips slowly before accelerating to a dynamic, catastrophic rupture? Will we ever be able to monitor and predict the slow onset of earthquakes or are we doomed to observe random, unpredictable cascades of events? We are currently missing a robust tool for quantitative estimation of the proportion of seismic versus aseismic slip during the rupture initiation, cluttering our attempts at understanding what physical mechanisms control the relationship between foreshocks and the onset of large earthquakes.
The current explosion of available near-fault ground-motion observations is an unprecedented opportunity to capture the genesis of earthquakes along active faults. I will develop an entirely new method based a novel data assimilation procedure that will produce probabilistic time-dependent slip models assimilating geodetic, seismic and tsunami datasets. While slow and rapid fault processes are usually studied independently, this unified approach will address the relative contribution of seismic and aseismic deformation.
The first step is the development of a novel probabilistic data assimilation method providing reliable uncertainty estimates and combining multiple data types. The second step is a validation of the method and an application to investigate the onset of recent megathrust earthquakes in Chile and Japan. The third step is the extensive, global use of the algorithm to the continuous monitoring of time-dependent slip along active faults providing an automated detector of the nucleation of earthquakes.
Max ERC Funding
1 499 545 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym QAPPA
Project Quantifying the atmospheric implications of the solid phase and phase transitions of secondary organic aerosols
Researcher (PI) Annele Kirsi Katriina Virtanen
Host Institution (HI) ITA-SUOMEN YLIOPISTO
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary In our ground-breaking paper published in Nature we showed, that the atmospheric Secondary Organic Aerosol (SOA) particles formed in boreal forest can be amorphous solid in their physical phase. Our result has already re-directed the SOA related research. In the several follow-up studies, it has been shown that SOA particles generated in the laboratory chamber from different pre-cursors and in various conditions are amorphous solid.
My ultimate task is to quantify the atmospheric implications of the phase state of SOA particles. Solid phase of the particles implies surface-confined chemistry and kinetic vapour uptake limitations because mass transport (diffusion) of reactants within the aerosol particle bulk becomes the rate limiting step. The diffusivity of the molecules in particle bulk depends on the viscosity of the SOA material. Hence, it would be a scientific break-through, if the kinetic limitations or the viscosity of the SOA particles could be estimated since these factors are a key to quantify the atmospheric implications of amorphous solid phase of the particles.
To achieve the final goal of the research, measurement method development is needed as currently there is no method to quantify the viscosity of the SOA particles, or to study the kinetic limitations and surface-confined chemistry caused by the solid phase of nanometer sized SOA particles. The methodology that will be developed in the proposed study, aims ambitiously to quantify the essential factors affecting the atmospheric processes of the SOA particles. The developed methodology will be use in extensive measurement campaigns performed both in SOA chambers and in atmospheric measurement sites in Europe and in US maximising the global significance of the results gained in this study.
The project enables two scientific breakthroughs: 1) the new methodology applicable in the field of nanoparticle research and 2) the quantified atmospheric implications of the amorphous solid phase of particles.
Summary
In our ground-breaking paper published in Nature we showed, that the atmospheric Secondary Organic Aerosol (SOA) particles formed in boreal forest can be amorphous solid in their physical phase. Our result has already re-directed the SOA related research. In the several follow-up studies, it has been shown that SOA particles generated in the laboratory chamber from different pre-cursors and in various conditions are amorphous solid.
My ultimate task is to quantify the atmospheric implications of the phase state of SOA particles. Solid phase of the particles implies surface-confined chemistry and kinetic vapour uptake limitations because mass transport (diffusion) of reactants within the aerosol particle bulk becomes the rate limiting step. The diffusivity of the molecules in particle bulk depends on the viscosity of the SOA material. Hence, it would be a scientific break-through, if the kinetic limitations or the viscosity of the SOA particles could be estimated since these factors are a key to quantify the atmospheric implications of amorphous solid phase of the particles.
To achieve the final goal of the research, measurement method development is needed as currently there is no method to quantify the viscosity of the SOA particles, or to study the kinetic limitations and surface-confined chemistry caused by the solid phase of nanometer sized SOA particles. The methodology that will be developed in the proposed study, aims ambitiously to quantify the essential factors affecting the atmospheric processes of the SOA particles. The developed methodology will be use in extensive measurement campaigns performed both in SOA chambers and in atmospheric measurement sites in Europe and in US maximising the global significance of the results gained in this study.
The project enables two scientific breakthroughs: 1) the new methodology applicable in the field of nanoparticle research and 2) the quantified atmospheric implications of the amorphous solid phase of particles.
Max ERC Funding
1 499 612 €
Duration
Start date: 2014-02-01, End date: 2019-01-31
Project acronym QUANTHOM
Project Quantitative methods in stochastic homogenization
Researcher (PI) Antoine Kenneth Florent Gloria
Host Institution (HI) UNIVERSITE PIERRE ET MARIE CURIE - PARIS 6
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary This proposal deals with the development of quantitative tools in stochastic homogenization, and their applications to materials science. Three main challenges will be addressed.
First, a complete quantitative theory of stochastic homogenization of linear elliptic equations will be developed starting from results I recently obtained on the subject combining tools originally introduced for statistical physics, such as spectral gap and logarithmic Sobolev inequalities, with elliptic regularity theory. The ultimate goal is to prove a central limit theorem for solutions to elliptic PDEs with random coefficients.
The second challenge consists in developing an adaptive multiscale numerical method for diffusion in inhomogeneous media. Many powerful numerical methods were introduced in the last few years, and analyzed in the case of periodic coefficients. Relying on my recent results on quantitative stochastic homogenization, I have made a sharp numerical analysis of these methods, and introduced more efficient variants, so that the three academic examples of periodic, quasi-periodic, and random stationary diffusion coefficients can be dealt with efficiently. The emphasis of this challenge is put on the adaptivity with respect to the local structure of the diffusion coefficients, in order to deal with more complex examples of interest to practitioners.
The last and larger objective is to make a rigorous connection between the continuum theory of nonlinear elastic materials and polymer-chain physics through stochastic homogenization of nonlinear problems and random graphs. Analytic and numerical preliminary results show the potential of this approach. I plan to derive explicit constitutive laws for rubber from polymer chain properties, using the insight of the first two challenges. This requires a good understanding of polymer physics in addition to qualitative and quantitative stochastic homogenization.
Summary
This proposal deals with the development of quantitative tools in stochastic homogenization, and their applications to materials science. Three main challenges will be addressed.
First, a complete quantitative theory of stochastic homogenization of linear elliptic equations will be developed starting from results I recently obtained on the subject combining tools originally introduced for statistical physics, such as spectral gap and logarithmic Sobolev inequalities, with elliptic regularity theory. The ultimate goal is to prove a central limit theorem for solutions to elliptic PDEs with random coefficients.
The second challenge consists in developing an adaptive multiscale numerical method for diffusion in inhomogeneous media. Many powerful numerical methods were introduced in the last few years, and analyzed in the case of periodic coefficients. Relying on my recent results on quantitative stochastic homogenization, I have made a sharp numerical analysis of these methods, and introduced more efficient variants, so that the three academic examples of periodic, quasi-periodic, and random stationary diffusion coefficients can be dealt with efficiently. The emphasis of this challenge is put on the adaptivity with respect to the local structure of the diffusion coefficients, in order to deal with more complex examples of interest to practitioners.
The last and larger objective is to make a rigorous connection between the continuum theory of nonlinear elastic materials and polymer-chain physics through stochastic homogenization of nonlinear problems and random graphs. Analytic and numerical preliminary results show the potential of this approach. I plan to derive explicit constitutive laws for rubber from polymer chain properties, using the insight of the first two challenges. This requires a good understanding of polymer physics in addition to qualitative and quantitative stochastic homogenization.
Max ERC Funding
1 043 172 €
Duration
Start date: 2014-02-01, End date: 2019-08-31
Project acronym RECONMET
Project Reconstruction of methane flux from lakes: development and application of a new approach
Researcher (PI) Oliver Heiri
Host Institution (HI) UNIVERSITAET BERN
Call Details Starting Grant (StG), PE10, ERC-2009-StG
Summary Reconstruction of methane flux from lakes: development and application of a new approach
Summary
Reconstruction of methane flux from lakes: development and application of a new approach
Max ERC Funding
1 554 000 €
Duration
Start date: 2009-12-01, End date: 2014-11-30
Project acronym ReEngineeringCancer
Project Re-engineering the tumor microenvironment to alleviate mechanical stresses and improve chemotherapy
Researcher (PI) Triantafyllos Stylianopoulos
Host Institution (HI) UNIVERSITY OF CYPRUS
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary Current chemotherapeutic agents are potent enough to kill cancer cells. Nonetheless, failure of chemotherapies for many cancers (e.g. breast and pancreatic cancers and various sarcomas) is primarily because these agents cannot reach cancer cells in amounts sufficient to cause complete cure. The abnormal microenvironment of these tumors drastically reduces perfusion and results in insufficient delivery of therapeutic agents. Tumor structural abnormalities is in large part an effect of mechanical stresses developed within the tumor due to unchecked cancer cell proliferation that strains the tumor microenvironment. Alleviation of these stresses has the potential to normalize the tumor, enhance delivery of drugs and improve treatment efficacy. Here, I propose to test the hypothesis that re-engineering the tumor microenvironment with stress-alleviating drugs has the potential to enhance chemotherapy. To explore this hypothesis, I will make use of a mixture of cutting-edge computational and experimental techniques. I will develop sophisticated models for the biomechanical response of tumors to analyze how stresses are generated and transmitted during tumor progression. Subsequently, I will perform animal studies to validate model predictions and indentify the drug that more effectively alleviates stress levels, normalizes the tumor microenvironment and improves chemotherapy. Successful completion of this research will reveal the mechanisms for stress generation and storage in tumors and will lead to new strategies for the use of chemotherapy.
Summary
Current chemotherapeutic agents are potent enough to kill cancer cells. Nonetheless, failure of chemotherapies for many cancers (e.g. breast and pancreatic cancers and various sarcomas) is primarily because these agents cannot reach cancer cells in amounts sufficient to cause complete cure. The abnormal microenvironment of these tumors drastically reduces perfusion and results in insufficient delivery of therapeutic agents. Tumor structural abnormalities is in large part an effect of mechanical stresses developed within the tumor due to unchecked cancer cell proliferation that strains the tumor microenvironment. Alleviation of these stresses has the potential to normalize the tumor, enhance delivery of drugs and improve treatment efficacy. Here, I propose to test the hypothesis that re-engineering the tumor microenvironment with stress-alleviating drugs has the potential to enhance chemotherapy. To explore this hypothesis, I will make use of a mixture of cutting-edge computational and experimental techniques. I will develop sophisticated models for the biomechanical response of tumors to analyze how stresses are generated and transmitted during tumor progression. Subsequently, I will perform animal studies to validate model predictions and indentify the drug that more effectively alleviates stress levels, normalizes the tumor microenvironment and improves chemotherapy. Successful completion of this research will reveal the mechanisms for stress generation and storage in tumors and will lead to new strategies for the use of chemotherapy.
Max ERC Funding
1 440 360 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym REMOTE
Project Real-time monitoring of load induced remodeling in tissue-engineered bone
Researcher (PI) Sandra Hofmann Boss
Host Institution (HI) TECHNISCHE UNIVERSITEIT EINDHOVEN
Call Details Starting Grant (StG), PE8, ERC-2013-StG
Summary The maintenance of the skeleton is tightly coupled with balanced bone formation and resorption processes that are mediated by osteoblasts and osteoclasts, respectively. Loss of this balance results in skeletal pathologies representing some of the most significant public health threats faced by the growing and ageing population. Tissue engineering investigates various health aspects such as drug development, fundamental research and regenerative medicine. State-of-the-art approaches are lacking to mimic one essential functional property of bone: to adapt its 3D morphology according to imposed mechanical loads. As most drugs for skeletal diseases act on this anabolic-catabolic balance, an engineered system serving as a human in vitro model for drug discovery/testing needs to be able to mimic this process. This proposal aims at combining real-time monitoring of mineralized extracellular matrix with bone tissue engineering culture standards in advanced bioreactors and will design a reliable 3D in vitro model system to mimic load induced remodeling of tissue-engineered human bone. The following particulars will be systematically addressed: i) Establishment of a co-culture of human bone-forming cells and human bone resorbing cells capable of mimicking bone remodeling; ii) Real-time monitoring platform in 3D in order to take the temporo-spatial development of the tissue into account and to allow specific adapted and controlled interventions depending on the actual environmental situation; iii) Quantitative simulation of morphological bone adaptation induced by mechanical load. The proposed research activity will have important implications in fields ranging from pharmacology and biotechnology to biomechanics and medicine. It will result in a ground-breaking platform that could be applied to screen initial bone drug effects and will improve our fundamental understanding of structure-function relationships in normal and diseased bone conditions.
Summary
The maintenance of the skeleton is tightly coupled with balanced bone formation and resorption processes that are mediated by osteoblasts and osteoclasts, respectively. Loss of this balance results in skeletal pathologies representing some of the most significant public health threats faced by the growing and ageing population. Tissue engineering investigates various health aspects such as drug development, fundamental research and regenerative medicine. State-of-the-art approaches are lacking to mimic one essential functional property of bone: to adapt its 3D morphology according to imposed mechanical loads. As most drugs for skeletal diseases act on this anabolic-catabolic balance, an engineered system serving as a human in vitro model for drug discovery/testing needs to be able to mimic this process. This proposal aims at combining real-time monitoring of mineralized extracellular matrix with bone tissue engineering culture standards in advanced bioreactors and will design a reliable 3D in vitro model system to mimic load induced remodeling of tissue-engineered human bone. The following particulars will be systematically addressed: i) Establishment of a co-culture of human bone-forming cells and human bone resorbing cells capable of mimicking bone remodeling; ii) Real-time monitoring platform in 3D in order to take the temporo-spatial development of the tissue into account and to allow specific adapted and controlled interventions depending on the actual environmental situation; iii) Quantitative simulation of morphological bone adaptation induced by mechanical load. The proposed research activity will have important implications in fields ranging from pharmacology and biotechnology to biomechanics and medicine. It will result in a ground-breaking platform that could be applied to screen initial bone drug effects and will improve our fundamental understanding of structure-function relationships in normal and diseased bone conditions.
Max ERC Funding
1 496 859 €
Duration
Start date: 2013-11-01, End date: 2019-04-30
Project acronym RISeR
Project Rates of Interglacial Sea-level Change, and Responses
Researcher (PI) Natasha Louise Mary BARLOW
Host Institution (HI) UNIVERSITY OF LEEDS
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary Global sea-level rise is one of our greatest environmental challenges and is predicted to continue for hundreds of years, even if global greenhouse-gas emissions are stopped immediately. However, the range, rates and responses to sea-level rise beyond 2100 are poorly understood. Current models that project sea-level rise centuries into the future have large uncertainties because the recent observations upon which they are based, encompass too limited a range of climate variability. Therefore, it is crucial to turn to the geological record where there are large-scale changes in climate. Global temperatures during the Last Interglacial were ~1oC warmer than pre-industrial values and 3-5oC warmer at the poles (a pattern similar to that predicted in the coming centuries), and global sea level was 6-9 m higher, far above that experienced in human memory.
Through the RISeR project, I will lead a step-change advance in our understanding of the magnitude, rates and drivers of sea-level change during the Last Interglacial, to inform both global and regional sea-level projections beyond 2100. Specifically I will:
1. Develop new palaeoenvironmental reconstructions of Last Interglacial sea-level change from northwest Europe;
2. Provide the first ever chronological constraints on the timing, and therefore rates, of relative sea-level change that occurred in northwest Europe during the Last Interglacial;
3. Use state-of-the-art numerical modelling to distinguish the relative contributions of the Greenland and Antarctica ice sheets to global sea-level rise during the Last Interglacial;
4. Provide estimates of the land areas and exposed populations in northwest Europe at risk of inundation by long-term (2100+) sea-level rise, providing high-end scenarios critical for coastal-risk management practice.
These ambitious objectives will result in a state-of-the-art integrated study of the most appropriate analogue for a critical global environmental challenge; future sea-level rise.
Summary
Global sea-level rise is one of our greatest environmental challenges and is predicted to continue for hundreds of years, even if global greenhouse-gas emissions are stopped immediately. However, the range, rates and responses to sea-level rise beyond 2100 are poorly understood. Current models that project sea-level rise centuries into the future have large uncertainties because the recent observations upon which they are based, encompass too limited a range of climate variability. Therefore, it is crucial to turn to the geological record where there are large-scale changes in climate. Global temperatures during the Last Interglacial were ~1oC warmer than pre-industrial values and 3-5oC warmer at the poles (a pattern similar to that predicted in the coming centuries), and global sea level was 6-9 m higher, far above that experienced in human memory.
Through the RISeR project, I will lead a step-change advance in our understanding of the magnitude, rates and drivers of sea-level change during the Last Interglacial, to inform both global and regional sea-level projections beyond 2100. Specifically I will:
1. Develop new palaeoenvironmental reconstructions of Last Interglacial sea-level change from northwest Europe;
2. Provide the first ever chronological constraints on the timing, and therefore rates, of relative sea-level change that occurred in northwest Europe during the Last Interglacial;
3. Use state-of-the-art numerical modelling to distinguish the relative contributions of the Greenland and Antarctica ice sheets to global sea-level rise during the Last Interglacial;
4. Provide estimates of the land areas and exposed populations in northwest Europe at risk of inundation by long-term (2100+) sea-level rise, providing high-end scenarios critical for coastal-risk management practice.
These ambitious objectives will result in a state-of-the-art integrated study of the most appropriate analogue for a critical global environmental challenge; future sea-level rise.
Max ERC Funding
1 997 681 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym ROBUSTFINMATH
Project Robust Financial Mathematics: model-ambiguous framework for valuation and risk management
Researcher (PI) Jan Krzysztof Obloj
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), PE1, ERC-2013-StG
Summary "The last forty years have seen a remarkable interplay between Mathematics and contemporary Finance. At the heart of the successful growth of Mathematical Finance was a perfect fit between its dominant model--specific framework and the tools of stochastic analysis. However, this approach has always had important limitations, and the dangers of overreach have been illustrated by the dramatic events of the recent financial crisis.
I set out to create a coherent mathematical framework for valuation, hedging and risk management, which starts with the market information and not an a priori probabilistic setup. The main objectives are: (i) to incorporate both historical data and current option prices as inputs of the proposed robust framework, and (ii) to establish pricing-hedging duality, define the concept of no-arbitrage and prove a Fundamental Theorem of Asset Pricing, all in a constrained setting where the market information, and not a probability space, is fixed from the outset. Further, I will test the performance of robust valuation and hedging methods.
The project proposes a genuine change of paradigm. It requires building novel mathematical tools combining pathwise stochastic calculus, embedding problems, martingale optimal transport, variation inequalities as well as numerical methods.
Significant research efforts have focused on introducing and investigating a form of model uncertainty in Financial Mathematics. This project makes an important next step. Motivated by recent contributions, it builds a framework which consistently combines model ambiguity with a comprehensive use of market information. Further, it has built-in flexibility to interpolate between the model-specific and model-independent settings. It offers a new theoretical foundation opening horizons for future research. Moreover, it provides novel tools which could be applied by the financial industry."
Summary
"The last forty years have seen a remarkable interplay between Mathematics and contemporary Finance. At the heart of the successful growth of Mathematical Finance was a perfect fit between its dominant model--specific framework and the tools of stochastic analysis. However, this approach has always had important limitations, and the dangers of overreach have been illustrated by the dramatic events of the recent financial crisis.
I set out to create a coherent mathematical framework for valuation, hedging and risk management, which starts with the market information and not an a priori probabilistic setup. The main objectives are: (i) to incorporate both historical data and current option prices as inputs of the proposed robust framework, and (ii) to establish pricing-hedging duality, define the concept of no-arbitrage and prove a Fundamental Theorem of Asset Pricing, all in a constrained setting where the market information, and not a probability space, is fixed from the outset. Further, I will test the performance of robust valuation and hedging methods.
The project proposes a genuine change of paradigm. It requires building novel mathematical tools combining pathwise stochastic calculus, embedding problems, martingale optimal transport, variation inequalities as well as numerical methods.
Significant research efforts have focused on introducing and investigating a form of model uncertainty in Financial Mathematics. This project makes an important next step. Motivated by recent contributions, it builds a framework which consistently combines model ambiguity with a comprehensive use of market information. Further, it has built-in flexibility to interpolate between the model-specific and model-independent settings. It offers a new theoretical foundation opening horizons for future research. Moreover, it provides novel tools which could be applied by the financial industry."
Max ERC Funding
1 218 639 €
Duration
Start date: 2014-01-01, End date: 2018-12-31
Project acronym RockDEaF
Project Dynamics of rock deformation at the brittle-plastic transition and the depth of earthquake faulting
Researcher (PI) Nicolas BRANTUT
Host Institution (HI) UNIVERSITY COLLEGE LONDON
Call Details Starting Grant (StG), PE10, ERC-2018-STG
Summary The lithosphere is the thin outer shell of the Earth that supports the weight of mountains, plate tectonic forces, and stores the elastic energy that is released during earthquakes. The strength of the lithosphere directly controls the formation of tectonic plates and the generation and propagation of devastating earthquakes.
The strongest part of the lithosphere is where the deformation processes in rocks transition from brittle fracture to plastic flow. This transition controls the strength of tectonic plate interfaces, the coupling between mantle flow and surface tectonics, as well as the complex fault slip patterns recently highlighted by geophysical records (e.g., tremors and slow slip).
Despite its fundamental importance, the transitional behaviour remains very poorly understood. In this regime, we still do not know how rock deformation processes and properties evolve with depth and, critically, time. We also do not know exactly where the transition occurs in nature, if and how it may move over time, and what are the prevailing conditions there.
The aim of this project is to provide unprecedented quantitative constrains on the key material properties and processes associated with deformation and fluid flow at the brittle-plastic transition, and arrive at a clear understanding of the prevailing conditions and the dynamics of fault slip at the transition.
I propose to conduct laboratory rock deformation experiments at the high pressure and temperature conditions relevant to the transitional regime, and achieve unprecedented quantitative physical measurements by developing state-of-the-art in-situ instrumentation, taking advantage of the latest sensor technologies. I will focus on quantifying the effects of time and fluids, which are currently unexplored.
The ultimate outcome of the project is to detect the transition in nature by understanding its geophysical signature, and constrain the strength of faults and plate boundaries throughout the seismic cycle.
Summary
The lithosphere is the thin outer shell of the Earth that supports the weight of mountains, plate tectonic forces, and stores the elastic energy that is released during earthquakes. The strength of the lithosphere directly controls the formation of tectonic plates and the generation and propagation of devastating earthquakes.
The strongest part of the lithosphere is where the deformation processes in rocks transition from brittle fracture to plastic flow. This transition controls the strength of tectonic plate interfaces, the coupling between mantle flow and surface tectonics, as well as the complex fault slip patterns recently highlighted by geophysical records (e.g., tremors and slow slip).
Despite its fundamental importance, the transitional behaviour remains very poorly understood. In this regime, we still do not know how rock deformation processes and properties evolve with depth and, critically, time. We also do not know exactly where the transition occurs in nature, if and how it may move over time, and what are the prevailing conditions there.
The aim of this project is to provide unprecedented quantitative constrains on the key material properties and processes associated with deformation and fluid flow at the brittle-plastic transition, and arrive at a clear understanding of the prevailing conditions and the dynamics of fault slip at the transition.
I propose to conduct laboratory rock deformation experiments at the high pressure and temperature conditions relevant to the transitional regime, and achieve unprecedented quantitative physical measurements by developing state-of-the-art in-situ instrumentation, taking advantage of the latest sensor technologies. I will focus on quantifying the effects of time and fluids, which are currently unexplored.
The ultimate outcome of the project is to detect the transition in nature by understanding its geophysical signature, and constrain the strength of faults and plate boundaries throughout the seismic cycle.
Max ERC Funding
1 499 990 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym SEISMIC
Project Slip and Earthquake Nucleation in Experimental and Numerical Simulations: a Multi-scale, Integrated and Coupled Approach
Researcher (PI) Andre Niemeijer
Host Institution (HI) UNIVERSITEIT UTRECHT
Call Details Starting Grant (StG), PE10, ERC-2013-StG
Summary Earthquakes represent one of the deadliest and costliest natural disasters affecting our planet – and one of the hardest to predict. To improve seismic hazard evaluation in earthquake-prone regions, an understanding of earthquake nucleation and of the underlying microphysical and chemical processes is crucial. A better understanding of the processes that control earthquake nucleation is also of rapidly growing importance for mitigation of induced seismicity, caused by activities such as gas and oil production, and geological storage of CO2 or gas. The SEISMIC project is a multi-scale study aimed at understanding the parameters that control slip (in)stability in experiments and models addressing earthquake nucleation. A central question to be tackled is what controls the velocity-dependence of fault friction and hence the potential for accelerating, seismogenic slip, and on what length scales the processes operate. A novel acoustic imaging technique will be developed and applied in experiments to obtain direct information on the internal microstructural evolution of fault slip zones during deformation, and on how this evolution leads to unstable slip. The SEISMIC project will link experiments with sophisticated numerical models of grain-scale frictional processes. Using both experiments and grain scale modelling, the SEISMIC project will in turn directly test boundary element models for large scale fault slip. The coupling of experiments with grain-scale numerical models, based on in-situ imaging, will provide the first, integrated, multiscale physical basis for extrapolation and upscaling of lab friction parameters to natural conditions. Ultimately, the SEISMIC project will test and validate the resulting models for fault slip by simulating and comparing patterns of seismicity for two natural-laboratory cases: a) for the l’Aquila region of Central Italy, and b) for a reservoir-scale case study involving induced seismicity in the Netherlands.
Summary
Earthquakes represent one of the deadliest and costliest natural disasters affecting our planet – and one of the hardest to predict. To improve seismic hazard evaluation in earthquake-prone regions, an understanding of earthquake nucleation and of the underlying microphysical and chemical processes is crucial. A better understanding of the processes that control earthquake nucleation is also of rapidly growing importance for mitigation of induced seismicity, caused by activities such as gas and oil production, and geological storage of CO2 or gas. The SEISMIC project is a multi-scale study aimed at understanding the parameters that control slip (in)stability in experiments and models addressing earthquake nucleation. A central question to be tackled is what controls the velocity-dependence of fault friction and hence the potential for accelerating, seismogenic slip, and on what length scales the processes operate. A novel acoustic imaging technique will be developed and applied in experiments to obtain direct information on the internal microstructural evolution of fault slip zones during deformation, and on how this evolution leads to unstable slip. The SEISMIC project will link experiments with sophisticated numerical models of grain-scale frictional processes. Using both experiments and grain scale modelling, the SEISMIC project will in turn directly test boundary element models for large scale fault slip. The coupling of experiments with grain-scale numerical models, based on in-situ imaging, will provide the first, integrated, multiscale physical basis for extrapolation and upscaling of lab friction parameters to natural conditions. Ultimately, the SEISMIC project will test and validate the resulting models for fault slip by simulating and comparing patterns of seismicity for two natural-laboratory cases: a) for the l’Aquila region of Central Italy, and b) for a reservoir-scale case study involving induced seismicity in the Netherlands.
Max ERC Funding
1 499 600 €
Duration
Start date: 2013-09-01, End date: 2019-02-28
Project acronym SIRIUS
Project Simulations for Inertial Particle Microfluidics
Researcher (PI) Timm KRUEGER
Host Institution (HI) THE UNIVERSITY OF EDINBURGH
Call Details Starting Grant (StG), PE8, ERC-2018-STG
Summary Cancer and bacterial infections are projected to kill 18 million people worldwide annually by 2050. Fast and reliable diagnostics are essential for early and targeted treatments. Microfluidics is at the heart of the miniaturisation of diagnostics, enabling novel portable and low-cost point-of-care devices. Inertial particle microfluidics (IPMF) is a novel and competitive method with applications in cancer cell and bacteria separation. Yet, the physics behind IPMF is not well understood, making progress slow and costly. Novel design rules are in urgent need to avoid trial-and-error experiments. I will numerically investigate the underlying physical mechanisms and develop the first predictive toolkit for engineering applications of IPMF.
In particular, I will address five ambitious challenges in SIRIUS:
1. Develop an accurate numerical model for IPMF.
2. Understand the impact of particle softness.
3. Investigate the effect of finite particle concentration.
4. Improve the currently low separation efficiency of small particles.
5. Develop a toolkit to enable simulation-driven design.
These objectives are feasible through novel numerical approaches based on the lattice-Boltzmann method and state-of-the-art high-performance computing. SIRIUS will pursue an innovative simulation campaign, validated with existing experimental data, to generate both physical insight and scaling laws for simulation-driven design.
For the first time, SIRIUS will produce robust numerical methods for IPMF. My pioneering research will uncover the physics behind particle separation and culminate in a design toolkit for IPMF engineers. SIRIUS will fill a critical gap and open up an entirely new research field: “Simulations for inertial particle microfluidics”. Results of SIRIUS will be published as open-source codes, open-access articles, and open data. This will ultimately enable faster, less costly and more innovative research in the field of microfluidics for diagnostics.
Summary
Cancer and bacterial infections are projected to kill 18 million people worldwide annually by 2050. Fast and reliable diagnostics are essential for early and targeted treatments. Microfluidics is at the heart of the miniaturisation of diagnostics, enabling novel portable and low-cost point-of-care devices. Inertial particle microfluidics (IPMF) is a novel and competitive method with applications in cancer cell and bacteria separation. Yet, the physics behind IPMF is not well understood, making progress slow and costly. Novel design rules are in urgent need to avoid trial-and-error experiments. I will numerically investigate the underlying physical mechanisms and develop the first predictive toolkit for engineering applications of IPMF.
In particular, I will address five ambitious challenges in SIRIUS:
1. Develop an accurate numerical model for IPMF.
2. Understand the impact of particle softness.
3. Investigate the effect of finite particle concentration.
4. Improve the currently low separation efficiency of small particles.
5. Develop a toolkit to enable simulation-driven design.
These objectives are feasible through novel numerical approaches based on the lattice-Boltzmann method and state-of-the-art high-performance computing. SIRIUS will pursue an innovative simulation campaign, validated with existing experimental data, to generate both physical insight and scaling laws for simulation-driven design.
For the first time, SIRIUS will produce robust numerical methods for IPMF. My pioneering research will uncover the physics behind particle separation and culminate in a design toolkit for IPMF engineers. SIRIUS will fill a critical gap and open up an entirely new research field: “Simulations for inertial particle microfluidics”. Results of SIRIUS will be published as open-source codes, open-access articles, and open data. This will ultimately enable faster, less costly and more innovative research in the field of microfluidics for diagnostics.
Max ERC Funding
1 499 290 €
Duration
Start date: 2019-01-01, End date: 2023-12-31
Project acronym SMARTBAYES
Project Intelligent Stochastic Computation Methods for Complex Statistical Model Learning
Researcher (PI) Jukka Ilmari Corander
Host Institution (HI) HELSINGIN YLIOPISTO
Call Details Starting Grant (StG), PE1, ERC-2009-StG
Summary Very recently, it has been claimed that the Bayesian paradigm has revolutionized statistical thinking in numerous fields of research, as a considerable amount of novel Bayesian statistical models and estimation algorithms have gained popularity among scientists. Despite of the evident success of the Bayesian approach, there are also many research problems where the computational challenges have so far proven to be too exhaustive to promote wide-spread use of the state-of-the-art Bayesian methodology. In particular, due to significant advances in measurement technologies, e.g. in molecular biology, a constant need for analyzing and modeling very large and complex data sets has emerged on a wide scale during the past decade. Such needs are even anticipated to rapidly increase in near future with the current technological advances. The prevailing situation is therefore somewhat paradoxical, as the theoretical superiority of the Bayesian paradigm as an uncertainty handling framework is widely acknowledged, yet it can be unable to provide practically applicable solutions to complex scientific problems. To resolve this issue, the research project will have a focus on stochastic computational and modeling strategies to develop methods that overcome problems associated with the analysis of highly complex data sets. With these methods we aim to be able to solve a multitude of statistical learning problems for data sets which cannot yet be reliably handled in practice by any of the existing Bayesian tools. Our approaches will build upon recent advances in Bayesian predictive modeling and adaptive stochastic Monte Carlo computation, to create a novel family of parallel interacting learning algorithms. Several significant statistical modeling problems will be considered to demonstrate the potential of the developed methods. Our goal is also to provide implementations of some of the algorithms as freely available software packages to benefit concretely the scientific community.
Summary
Very recently, it has been claimed that the Bayesian paradigm has revolutionized statistical thinking in numerous fields of research, as a considerable amount of novel Bayesian statistical models and estimation algorithms have gained popularity among scientists. Despite of the evident success of the Bayesian approach, there are also many research problems where the computational challenges have so far proven to be too exhaustive to promote wide-spread use of the state-of-the-art Bayesian methodology. In particular, due to significant advances in measurement technologies, e.g. in molecular biology, a constant need for analyzing and modeling very large and complex data sets has emerged on a wide scale during the past decade. Such needs are even anticipated to rapidly increase in near future with the current technological advances. The prevailing situation is therefore somewhat paradoxical, as the theoretical superiority of the Bayesian paradigm as an uncertainty handling framework is widely acknowledged, yet it can be unable to provide practically applicable solutions to complex scientific problems. To resolve this issue, the research project will have a focus on stochastic computational and modeling strategies to develop methods that overcome problems associated with the analysis of highly complex data sets. With these methods we aim to be able to solve a multitude of statistical learning problems for data sets which cannot yet be reliably handled in practice by any of the existing Bayesian tools. Our approaches will build upon recent advances in Bayesian predictive modeling and adaptive stochastic Monte Carlo computation, to create a novel family of parallel interacting learning algorithms. Several significant statistical modeling problems will be considered to demonstrate the potential of the developed methods. Our goal is also to provide implementations of some of the algorithms as freely available software packages to benefit concretely the scientific community.
Max ERC Funding
550 000 €
Duration
Start date: 2009-11-01, End date: 2014-10-31