Project acronym 1stProposal
Project An alternative development of analytic number theory and applications
Researcher (PI) ANDREW Granville
Host Institution (HI) UNIVERSITY COLLEGE LONDON
Call Details Advanced Grant (AdG), PE1, ERC-2014-ADG
Summary The traditional (Riemann) approach to analytic number theory uses the zeros of zeta functions. This requires the associated multiplicative function, say f(n), to have special enough properties that the associated Dirichlet series may be analytically continued. In this proposal we continue to develop an approach which requires less of the multiplicative function, linking the original question with the mean value of f. Such techniques have been around for a long time but have generally been regarded as “ad hoc”. In this project we aim to show that one can develop a coherent approach to the whole subject, not only reproving all of the old results, but also many new ones that appear inaccessible to traditional methods.
Our first goal is to complete a monograph yielding a reworking of all the classical theory using these new methods and then to push forward in new directions. The most important is to extend these techniques to GL(n) L-functions, which we hope will now be feasible having found the correct framework in which to proceed. Since we rarely know how to analytically continue such L-functions this could be of great benefit to the subject.
We are developing the large sieve so that it can be used for individual moduli, and will determine a strong form of that. Also a new method to give asymptotics for mean values, when they are not too small.
We wish to incorporate techniques of analytic number theory into our theory, for example recent advances on mean values of Dirichlet polynomials. Also the recent breakthroughs on the sieve suggest strong links that need further exploration.
Additive combinatorics yields important results in many areas. There are strong analogies between its results, and those for multiplicative functions, especially in large value spectrum theory, and its applications. We hope to develop these further.
Much of this is joint work with K Soundararajan of Stanford University.
Summary
The traditional (Riemann) approach to analytic number theory uses the zeros of zeta functions. This requires the associated multiplicative function, say f(n), to have special enough properties that the associated Dirichlet series may be analytically continued. In this proposal we continue to develop an approach which requires less of the multiplicative function, linking the original question with the mean value of f. Such techniques have been around for a long time but have generally been regarded as “ad hoc”. In this project we aim to show that one can develop a coherent approach to the whole subject, not only reproving all of the old results, but also many new ones that appear inaccessible to traditional methods.
Our first goal is to complete a monograph yielding a reworking of all the classical theory using these new methods and then to push forward in new directions. The most important is to extend these techniques to GL(n) L-functions, which we hope will now be feasible having found the correct framework in which to proceed. Since we rarely know how to analytically continue such L-functions this could be of great benefit to the subject.
We are developing the large sieve so that it can be used for individual moduli, and will determine a strong form of that. Also a new method to give asymptotics for mean values, when they are not too small.
We wish to incorporate techniques of analytic number theory into our theory, for example recent advances on mean values of Dirichlet polynomials. Also the recent breakthroughs on the sieve suggest strong links that need further exploration.
Additive combinatorics yields important results in many areas. There are strong analogies between its results, and those for multiplicative functions, especially in large value spectrum theory, and its applications. We hope to develop these further.
Much of this is joint work with K Soundararajan of Stanford University.
Max ERC Funding
2 011 742 €
Duration
Start date: 2015-08-01, End date: 2020-07-31
Project acronym 3SPIN
Project Three Dimensional Spintronics
Researcher (PI) Russell Paul Cowburn
Host Institution (HI) THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Call Details Advanced Grant (AdG), PE3, ERC-2009-AdG
Summary Spintronics, in which both the spin and the charge of the electron are used, is one of the most exciting new disciplines to emerge from nanoscience. The 3SPIN project seeks to open a new research front within spintronics: namely 3-dimensional spintronics, in which magnetic nanostructures are formed into a 3-dimensional interacting network of unrivalled density and hence technological benefit. 3SPIN will explore early-stage science that could underpin 3-dimensional metallic spintronics. The thesis of the project is: that by careful control of the constituent nanostructure properties, a 3-dimensional medium can be created in which a large number of topological solitons can exist. Although hardly studied at all to date, these solitons should be stable at room temperature, extremely compact and easy to manipulate and propagate. This makes them potentially ideal candidates to form the basis of a new spintronics in which the soliton is the basic transport vector instead of electrical current. ¬3.5M of funding is requested to form a new team of 5 researchers who, over a period of 60 months, will perform computer simulations and experimental studies of solitons in 3-dimensional networks of magnetic nanostructures and develop a laboratory demonstrator 3-dimensional memory device using solitons to represent and store data. A high performance electron beam lithography system (cost 1M¬) will be purchased to allow state-of-the-art magnetic nanostructures to be fabricated with perfect control over their magnetic properties, thus allowing the ideal conditions for solitons to be created and controllably manipulated. Outputs from the project will be a complete understanding of the properties of these new objects and a road map charting the next steps for research in the field.
Summary
Spintronics, in which both the spin and the charge of the electron are used, is one of the most exciting new disciplines to emerge from nanoscience. The 3SPIN project seeks to open a new research front within spintronics: namely 3-dimensional spintronics, in which magnetic nanostructures are formed into a 3-dimensional interacting network of unrivalled density and hence technological benefit. 3SPIN will explore early-stage science that could underpin 3-dimensional metallic spintronics. The thesis of the project is: that by careful control of the constituent nanostructure properties, a 3-dimensional medium can be created in which a large number of topological solitons can exist. Although hardly studied at all to date, these solitons should be stable at room temperature, extremely compact and easy to manipulate and propagate. This makes them potentially ideal candidates to form the basis of a new spintronics in which the soliton is the basic transport vector instead of electrical current. ¬3.5M of funding is requested to form a new team of 5 researchers who, over a period of 60 months, will perform computer simulations and experimental studies of solitons in 3-dimensional networks of magnetic nanostructures and develop a laboratory demonstrator 3-dimensional memory device using solitons to represent and store data. A high performance electron beam lithography system (cost 1M¬) will be purchased to allow state-of-the-art magnetic nanostructures to be fabricated with perfect control over their magnetic properties, thus allowing the ideal conditions for solitons to be created and controllably manipulated. Outputs from the project will be a complete understanding of the properties of these new objects and a road map charting the next steps for research in the field.
Max ERC Funding
2 799 996 €
Duration
Start date: 2010-03-01, End date: 2016-02-29
Project acronym ABLASE
Project Advanced Bioderived and Biocompatible Lasers
Researcher (PI) Malte Christian Gather
Host Institution (HI) THE UNIVERSITY COURT OF THE UNIVERSITY OF ST ANDREWS
Call Details Starting Grant (StG), PE3, ERC-2014-STG
Summary Naturally occurring optical phenomena attract great attention and transform our ability to study biological processes, with “the discovery and development of the green fluorescent protein (GFP)” (Nobel Prize in Chemistry 2008) being a particularly successful example. Although found only in very few species in nature, most organisms can be genetically programmed to produce the brightly fluorescent GFP molecules. Combined with modern fluorescence detection schemes, this has led to entirely new ways of monitoring biological processes. The applicant now demonstrated a biological laser – a completely novel, living source of coherent light based on a single biological cell bioengineered to produce GFP. Such a laser is intrinsically biocompatible, thus offering unique properties not shared by any existing laser. However, the physical processes involved in lasing from GFP remain poorly understood and so far biological lasers rely on bulky, impractical external resonators for optical feedback. Within this project, the applicant and his team will develop for the first time an understanding of stimulated emission in GFP and related proteins and create an unprecedented stand-alone single-cell biolaser based on intracellular optical feedback. These lasers will be deployed as microscopic and biocompatible imaging probes, thus opening in vivo microscopy to dense wavelength-multiplexing and enabling unmatched sensing of biomolecules and mechanical pressure. The evolutionarily evolved nano-structure of GFP will also enable novel ways of studying strong light-matter coupling and will bio-inspire advances of synthetic emitters. The proposed project is inter-disciplinary by its very nature, bridging photonics, genetic engineering and material science. The applicant’s previous pioneering work and synergies with work on other lasers developed at the applicant’s host institution provide an exclusive competitive edge. ERC support would transform this into a truly novel field of research.
Summary
Naturally occurring optical phenomena attract great attention and transform our ability to study biological processes, with “the discovery and development of the green fluorescent protein (GFP)” (Nobel Prize in Chemistry 2008) being a particularly successful example. Although found only in very few species in nature, most organisms can be genetically programmed to produce the brightly fluorescent GFP molecules. Combined with modern fluorescence detection schemes, this has led to entirely new ways of monitoring biological processes. The applicant now demonstrated a biological laser – a completely novel, living source of coherent light based on a single biological cell bioengineered to produce GFP. Such a laser is intrinsically biocompatible, thus offering unique properties not shared by any existing laser. However, the physical processes involved in lasing from GFP remain poorly understood and so far biological lasers rely on bulky, impractical external resonators for optical feedback. Within this project, the applicant and his team will develop for the first time an understanding of stimulated emission in GFP and related proteins and create an unprecedented stand-alone single-cell biolaser based on intracellular optical feedback. These lasers will be deployed as microscopic and biocompatible imaging probes, thus opening in vivo microscopy to dense wavelength-multiplexing and enabling unmatched sensing of biomolecules and mechanical pressure. The evolutionarily evolved nano-structure of GFP will also enable novel ways of studying strong light-matter coupling and will bio-inspire advances of synthetic emitters. The proposed project is inter-disciplinary by its very nature, bridging photonics, genetic engineering and material science. The applicant’s previous pioneering work and synergies with work on other lasers developed at the applicant’s host institution provide an exclusive competitive edge. ERC support would transform this into a truly novel field of research.
Max ERC Funding
1 499 875 €
Duration
Start date: 2015-06-01, End date: 2020-05-31
Project acronym ACCORD
Project Algorithms for Complex Collective Decisions on Structured Domains
Researcher (PI) Edith Elkind
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), PE6, ERC-2014-STG
Summary Algorithms for Complex Collective Decisions on Structured Domains.
The aim of this proposal is to substantially advance the field of Computational Social Choice, by developing new tools and methodologies that can be used for making complex group decisions in rich and structured environments. We consider settings where each member of a decision-making body has preferences over a finite set of alternatives, and the goal is to synthesise a collective preference over these alternatives, which may take the form of a partial order over the set of alternatives with a predefined structure: examples include selecting a fixed-size set of alternatives, a ranking of the alternatives, a winner and up to two runner-ups, etc. We will formulate desiderata that apply to such preference aggregation procedures, design specific procedures that satisfy as many of these desiderata as possible, and develop efficient algorithms for computing them. As the latter step may be infeasible on general preference domains, we will focus on identifying the least restrictive domains that enable efficient computation, and use real-life preference data to verify whether the associated restrictions are likely to be satisfied in realistic preference aggregation scenarios. Also, we will determine whether our preference aggregation procedures are computationally resistant to malicious behavior. To lower the cognitive burden on the decision-makers, we will extend our procedures to accept partial rankings as inputs. Finally, to further contribute towards bridging the gap between theory and practice of collective decision making, we will provide open-source software implementations of our procedures, and reach out to the potential users to obtain feedback on their practical applicability.
Summary
Algorithms for Complex Collective Decisions on Structured Domains.
The aim of this proposal is to substantially advance the field of Computational Social Choice, by developing new tools and methodologies that can be used for making complex group decisions in rich and structured environments. We consider settings where each member of a decision-making body has preferences over a finite set of alternatives, and the goal is to synthesise a collective preference over these alternatives, which may take the form of a partial order over the set of alternatives with a predefined structure: examples include selecting a fixed-size set of alternatives, a ranking of the alternatives, a winner and up to two runner-ups, etc. We will formulate desiderata that apply to such preference aggregation procedures, design specific procedures that satisfy as many of these desiderata as possible, and develop efficient algorithms for computing them. As the latter step may be infeasible on general preference domains, we will focus on identifying the least restrictive domains that enable efficient computation, and use real-life preference data to verify whether the associated restrictions are likely to be satisfied in realistic preference aggregation scenarios. Also, we will determine whether our preference aggregation procedures are computationally resistant to malicious behavior. To lower the cognitive burden on the decision-makers, we will extend our procedures to accept partial rankings as inputs. Finally, to further contribute towards bridging the gap between theory and practice of collective decision making, we will provide open-source software implementations of our procedures, and reach out to the potential users to obtain feedback on their practical applicability.
Max ERC Funding
1 395 933 €
Duration
Start date: 2015-07-01, End date: 2020-06-30
Project acronym ACTIVE_NEUROGENESIS
Project Activity-dependent signaling in radial glial cells and their neuronal progeny
Researcher (PI) Colin Akerman
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), LS5, ERC-2009-StG
Summary A significant advance in the field of development has been the appreciation that radial glial cells are progenitors and give birth to neurons in the brain. In order to advance this exciting area of biology, we need approaches that combine structural and functional studies of these cells. This is reflected by the emerging realisation that dynamic interactions involving radial glia may be critical for the regulation of their proliferative behaviour. It has been observed that radial glia experience transient elevations in intracellular Ca2+ but the nature of these signals, and the information that they convey, is not known. The inability to observe these cells in vivo and over the course of their development has also meant that basic questions remain unexplored. For instance, how does the behaviour of a radial glial cell at one point in development, influence the final identity of its progeny? I propose to build a research team that will capitalise upon methods we have developed for observing individual radial glia and their progeny in an intact vertebrate nervous system. The visual system of Xenopus Laevis tadpoles offers non-invasive optical access to the brain, making time-lapse imaging of single cells feasible over minutes and weeks. The system s anatomy lends itself to techniques that measure the activity of the cells in a functional sensory network. We will use this to examine signalling mechanisms in radial glia and how a radial glial cell s experience influences its proliferative behaviour and the types of neuron it generates. We will also examine the interactions that continue between a radial glial cell and its daughter neurons. Finally, we will explore the relationships that exist within neuronal progeny derived from a single radial glial cell.
Summary
A significant advance in the field of development has been the appreciation that radial glial cells are progenitors and give birth to neurons in the brain. In order to advance this exciting area of biology, we need approaches that combine structural and functional studies of these cells. This is reflected by the emerging realisation that dynamic interactions involving radial glia may be critical for the regulation of their proliferative behaviour. It has been observed that radial glia experience transient elevations in intracellular Ca2+ but the nature of these signals, and the information that they convey, is not known. The inability to observe these cells in vivo and over the course of their development has also meant that basic questions remain unexplored. For instance, how does the behaviour of a radial glial cell at one point in development, influence the final identity of its progeny? I propose to build a research team that will capitalise upon methods we have developed for observing individual radial glia and their progeny in an intact vertebrate nervous system. The visual system of Xenopus Laevis tadpoles offers non-invasive optical access to the brain, making time-lapse imaging of single cells feasible over minutes and weeks. The system s anatomy lends itself to techniques that measure the activity of the cells in a functional sensory network. We will use this to examine signalling mechanisms in radial glia and how a radial glial cell s experience influences its proliferative behaviour and the types of neuron it generates. We will also examine the interactions that continue between a radial glial cell and its daughter neurons. Finally, we will explore the relationships that exist within neuronal progeny derived from a single radial glial cell.
Max ERC Funding
1 284 808 €
Duration
Start date: 2010-02-01, End date: 2015-01-31
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 ALIGN
Project Ab-initio computational modelling of photovoltaic interfaces
Researcher (PI) Feliciano Giustino
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), PE5, ERC-2009-StG
Summary The aim of the ALIGN project is to understand, predict, and optimize the photovoltaic energy conversion in third-generation solar cells, starting from an atomic-scale quantum-mechanical modelling of the photovoltaic interface. The quest for photovoltaic materials suitable for low-cost synthesis, large-area production, and functional architecture has driven substantial research efforts towards third-generation photovoltaic devices such as plastic solar cells, organic-inorganic cells, and photo-electrochemical cells. The physical and chemical processes involved in the harvesting of sunlight, the transport of electrical charge, and the build-up of the photo-voltage in these devices are fundamentally different from those encountered in traditional semiconductor heterojunction solar cells. A detailed atomic-scale quantum-mechanical description of such processes will lay down the basis for a rational approach to the modelling, optimization, and design of new photovoltaic materials. The short name of the proposal hints at one of the key materials parameters in the area of photovoltaic interfaces: the alignment of the quantum energy levels between the light-absorbing material and the electron acceptor. The level alignment drives the separation of the electron-hole pairs formed upon absorption of sunlight, and determines the open circuit voltage of the solar cell. The energy level alignment not only represents a key parameter for the design of photovoltaic devices, but also constitutes one of the grand challenges of modern computational materials science. Within this project we will develop and apply new ground-breaking computational methods to understand, predict, and optimize the energy level alignment and other design parameters of third-generation photovoltaic devices.
Summary
The aim of the ALIGN project is to understand, predict, and optimize the photovoltaic energy conversion in third-generation solar cells, starting from an atomic-scale quantum-mechanical modelling of the photovoltaic interface. The quest for photovoltaic materials suitable for low-cost synthesis, large-area production, and functional architecture has driven substantial research efforts towards third-generation photovoltaic devices such as plastic solar cells, organic-inorganic cells, and photo-electrochemical cells. The physical and chemical processes involved in the harvesting of sunlight, the transport of electrical charge, and the build-up of the photo-voltage in these devices are fundamentally different from those encountered in traditional semiconductor heterojunction solar cells. A detailed atomic-scale quantum-mechanical description of such processes will lay down the basis for a rational approach to the modelling, optimization, and design of new photovoltaic materials. The short name of the proposal hints at one of the key materials parameters in the area of photovoltaic interfaces: the alignment of the quantum energy levels between the light-absorbing material and the electron acceptor. The level alignment drives the separation of the electron-hole pairs formed upon absorption of sunlight, and determines the open circuit voltage of the solar cell. The energy level alignment not only represents a key parameter for the design of photovoltaic devices, but also constitutes one of the grand challenges of modern computational materials science. Within this project we will develop and apply new ground-breaking computational methods to understand, predict, and optimize the energy level alignment and other design parameters of third-generation photovoltaic devices.
Max ERC Funding
1 000 000 €
Duration
Start date: 2010-03-01, End date: 2016-02-29
Project acronym ALKENoNE
Project Algal Lipids: the Key to Earth Now and aNcient Earth
Researcher (PI) Jaime Lynn Toney
Host Institution (HI) UNIVERSITY OF GLASGOW
Call Details Starting Grant (StG), PE10, ERC-2014-STG
Summary Alkenones are algal lipids that have been used for decades to reconstruct quantitative past sea surface temperature. Although alkenones are being discovered in an increasing number of lake sites worldwide, only two terrestrial temperature records have been reconstructed so far. The development of this research field is limited by the lack of interdisciplinary research that combines modern biological and ecological algal research with the organic geochemical techniques needed to develop a quantitative biomarker (or molecular fossil) for past lake temperatures. More research is needed for alkenones to become a widely used tool for reconstructing past terrestrial temperature change. The early career Principal Investigator has discovered a new lake alkenone-producing species of haptophyte algae that produces alkenones in high abundances both in the environment and in laboratory cultures. This makes the new species an ideal organism for developing a culture-based temperature calibration and exploring other potential environmental controls. In this project, alkenone production will be manipulated, and monitored using state-of-the-art photobioreactors with real-time detectors for cell density, light, and temperature. The latest algal culture and isolation techniques that are used in microalgal biofuel development will be applied to developing the lake temperature proxy. The objectives will be achieved through the analysis of 90 new Canadian lakes to develop a core-top temperature calibration across a large latitudinal and temperature gradient (Δ latitude = 5°, Δ spring surface temperature = 9°C). The results will be used to assess how regional palaeo-temperature (Uk37), palaeo-moisture (δDwax) and palaeo-evaporation (δDalgal) respond during times of past global warmth (e.g., Medieval Warm Period, 900-1200 AD) to find an accurate analogue for assessing future drought risk in the interior of Canada.
Summary
Alkenones are algal lipids that have been used for decades to reconstruct quantitative past sea surface temperature. Although alkenones are being discovered in an increasing number of lake sites worldwide, only two terrestrial temperature records have been reconstructed so far. The development of this research field is limited by the lack of interdisciplinary research that combines modern biological and ecological algal research with the organic geochemical techniques needed to develop a quantitative biomarker (or molecular fossil) for past lake temperatures. More research is needed for alkenones to become a widely used tool for reconstructing past terrestrial temperature change. The early career Principal Investigator has discovered a new lake alkenone-producing species of haptophyte algae that produces alkenones in high abundances both in the environment and in laboratory cultures. This makes the new species an ideal organism for developing a culture-based temperature calibration and exploring other potential environmental controls. In this project, alkenone production will be manipulated, and monitored using state-of-the-art photobioreactors with real-time detectors for cell density, light, and temperature. The latest algal culture and isolation techniques that are used in microalgal biofuel development will be applied to developing the lake temperature proxy. The objectives will be achieved through the analysis of 90 new Canadian lakes to develop a core-top temperature calibration across a large latitudinal and temperature gradient (Δ latitude = 5°, Δ spring surface temperature = 9°C). The results will be used to assess how regional palaeo-temperature (Uk37), palaeo-moisture (δDwax) and palaeo-evaporation (δDalgal) respond during times of past global warmth (e.g., Medieval Warm Period, 900-1200 AD) to find an accurate analogue for assessing future drought risk in the interior of Canada.
Max ERC Funding
940 883 €
Duration
Start date: 2015-04-01, End date: 2020-03-31
Project acronym ASPIRE
Project Aqueous Supramolecular Polymers and Peptide Conjugates in Reversible Systems
Researcher (PI) Oren Alexander Scherman
Host Institution (HI) THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Call Details Starting Grant (StG), PE5, ERC-2009-StG
Summary Supramolecular polymers are of major interest in the field of self assembly with a promising outlook in areas of viscosity modification, compartmentalized architectures, bio-conjugates and drug-delivery applications. They are dynamic macromolecular materials prepared by simple mixing of relatively small components bearing complementary or self-complementary recognition motifs. A major limitation in the field, however, has been access to synthetic systems capable of undergoing self assembly in an aqueous environment. This research proposal develops well-defined, self-organizing macromolecular structures that will overcome this limitation by focusing on systems that rely on several non-covalent interactions occurring in concert rather than on single interactions alone. The envisioned supramolecular polymers and bio-conjugates are designed as dynamic water-soluble smart materials, whose architectures can be controlled and exhibit reversibility upon exposure to external stimuli such as electrochemical, temperature or pH changes. Molecular recognition events occurring between functional handles on both synthetic and bio-polymers will be investigated in order to control the formation of desired functional architectures through stoichiometrically controlled complexation. Preparation of synthetic core motifs to assemble discrete peptide aggregates such as the dimeric through hexameric oligomers of amyloid-beta(40/42) will lead to structural elucidation and insight into several peptide misfolding pathologies like Alzheimer's or Parkinson's disease.
Summary
Supramolecular polymers are of major interest in the field of self assembly with a promising outlook in areas of viscosity modification, compartmentalized architectures, bio-conjugates and drug-delivery applications. They are dynamic macromolecular materials prepared by simple mixing of relatively small components bearing complementary or self-complementary recognition motifs. A major limitation in the field, however, has been access to synthetic systems capable of undergoing self assembly in an aqueous environment. This research proposal develops well-defined, self-organizing macromolecular structures that will overcome this limitation by focusing on systems that rely on several non-covalent interactions occurring in concert rather than on single interactions alone. The envisioned supramolecular polymers and bio-conjugates are designed as dynamic water-soluble smart materials, whose architectures can be controlled and exhibit reversibility upon exposure to external stimuli such as electrochemical, temperature or pH changes. Molecular recognition events occurring between functional handles on both synthetic and bio-polymers will be investigated in order to control the formation of desired functional architectures through stoichiometrically controlled complexation. Preparation of synthetic core motifs to assemble discrete peptide aggregates such as the dimeric through hexameric oligomers of amyloid-beta(40/42) will lead to structural elucidation and insight into several peptide misfolding pathologies like Alzheimer's or Parkinson's disease.
Max ERC Funding
1 700 000 €
Duration
Start date: 2009-11-01, End date: 2015-10-31
Project acronym AUTAR
Project A Unified Theory of Algorithmic Relaxations
Researcher (PI) Albert Atserias Peri
Host Institution (HI) UNIVERSITAT POLITECNICA DE CATALUNYA
Call Details Consolidator Grant (CoG), PE6, ERC-2014-CoG
Summary For a large family of computational problems collectively known as constrained optimization and satisfaction problems (CSPs), four decades of research in algorithms and computational complexity have led to a theory that tries to classify them as algorithmically tractable vs. intractable, i.e. polynomial-time solvable vs. NP-hard. However, there remains an important gap in our knowledge in that many CSPs of interest resist classification by this theory. Some such problems of practical relevance include fundamental partition problems in graph theory, isomorphism problems in combinatorics, and strategy-design problems in mathematical game theory. To tackle this gap in our knowledge, the research of the last decade has been driven either by finding hard instances for algorithms that solve tighter and tighter relaxations of the original problem, or by formulating new hardness-hypotheses that are stronger but admittedly less robust than NP-hardness.
The ultimate goal of this project is closing the gap between the partial progress that these approaches represent and the original classification project into tractable vs. intractable problems. Our thesis is that the field has reached a point where, in many cases of interest, the analysis of the current candidate algorithms that appear to solve all instances could suffice to classify the problem one way or the other, without the need for alternative hardness-hypotheses. The novelty in our approach is a program to develop our recent discovery that, in some cases of interest, two methods from different areas match in strength: indistinguishability pebble games from mathematical logic, and hierarchies of convex relaxations from mathematical programming. Thus, we aim at making significant advances in the status of important algorithmic problems by looking for a general theory that unifies and goes beyond the current understanding of its components.
Summary
For a large family of computational problems collectively known as constrained optimization and satisfaction problems (CSPs), four decades of research in algorithms and computational complexity have led to a theory that tries to classify them as algorithmically tractable vs. intractable, i.e. polynomial-time solvable vs. NP-hard. However, there remains an important gap in our knowledge in that many CSPs of interest resist classification by this theory. Some such problems of practical relevance include fundamental partition problems in graph theory, isomorphism problems in combinatorics, and strategy-design problems in mathematical game theory. To tackle this gap in our knowledge, the research of the last decade has been driven either by finding hard instances for algorithms that solve tighter and tighter relaxations of the original problem, or by formulating new hardness-hypotheses that are stronger but admittedly less robust than NP-hardness.
The ultimate goal of this project is closing the gap between the partial progress that these approaches represent and the original classification project into tractable vs. intractable problems. Our thesis is that the field has reached a point where, in many cases of interest, the analysis of the current candidate algorithms that appear to solve all instances could suffice to classify the problem one way or the other, without the need for alternative hardness-hypotheses. The novelty in our approach is a program to develop our recent discovery that, in some cases of interest, two methods from different areas match in strength: indistinguishability pebble games from mathematical logic, and hierarchies of convex relaxations from mathematical programming. Thus, we aim at making significant advances in the status of important algorithmic problems by looking for a general theory that unifies and goes beyond the current understanding of its components.
Max ERC Funding
1 725 656 €
Duration
Start date: 2015-06-01, End date: 2020-05-31
