Project acronym 2DHIBSA
Project Nanoscopic and Hierachical Materials via Living Crystallization-Driven Self-Assembly
Researcher (PI) Ian MANNERS
Host Institution (HI) UNIVERSITY OF BRISTOL
Call Details Advanced Grant (AdG), PE5, ERC-2017-ADG
Summary A key synthetic challenge of widespread interest in chemical science involves the creation of well-defined 2D functional materials that exist on a length-scale of nanometers to microns. In this ambitious 5 year proposal we aim to tackle this issue by exploiting the unique opportunities made possible by recent developments with the living crystallization-driven self-assembly (CDSA) platform. Using this solution processing approach, amphiphilic block copolymers (BCPs) with crystallizable blocks, related amphiphiles, and polymers with charged end groups will be used to predictably construct monodisperse samples of tailored, functional soft matter-based 2D nanostructures with controlled shape, size, and spatially-defined chemistries. Many of the resulting nanostructures will also offer unprecedented opportunities as precursors to materials with hierarchical structures through further solution-based “bottom-up” assembly methods. In addition to fundamental studies, the proposed work also aims to make important impact in the cutting-edge fields of liquid crystals, interface stabilization, catalysis, supramolecular polymers, and hierarchical materials.
Summary
A key synthetic challenge of widespread interest in chemical science involves the creation of well-defined 2D functional materials that exist on a length-scale of nanometers to microns. In this ambitious 5 year proposal we aim to tackle this issue by exploiting the unique opportunities made possible by recent developments with the living crystallization-driven self-assembly (CDSA) platform. Using this solution processing approach, amphiphilic block copolymers (BCPs) with crystallizable blocks, related amphiphiles, and polymers with charged end groups will be used to predictably construct monodisperse samples of tailored, functional soft matter-based 2D nanostructures with controlled shape, size, and spatially-defined chemistries. Many of the resulting nanostructures will also offer unprecedented opportunities as precursors to materials with hierarchical structures through further solution-based “bottom-up” assembly methods. In addition to fundamental studies, the proposed work also aims to make important impact in the cutting-edge fields of liquid crystals, interface stabilization, catalysis, supramolecular polymers, and hierarchical materials.
Max ERC Funding
2 499 597 €
Duration
Start date: 2018-05-01, End date: 2023-04-30
Project acronym 3D-E
Project 3D Engineered Environments for Regenerative Medicine
Researcher (PI) Ruth Elizabeth Cameron
Host Institution (HI) THE CHANCELLOR MASTERS AND SCHOLARS OF THE UNIVERSITY OF CAMBRIDGE
Call Details Advanced Grant (AdG), PE8, ERC-2012-ADG_20120216
Summary "This proposal develops a unified, underpinning technology to create novel, complex and biomimetic 3D environments for the control of tissue growth. As director of Cambridge Centre for Medical Materials, I have recently been approached by medical colleagues to help to solve important problems in the separate therapeutic areas of breast cancer, cardiac disease and blood disorders. In each case, the solution lies in complex 3D engineered environments for cell culture. These colleagues make it clear that existing 3D scaffolds fail to provide the required complex orientational and spatial anisotropy, and are limited in their ability to impart appropriate biochemical and mechanical cues.
I have a strong track record in this area. A particular success has been the use of a freeze drying technology to make collagen based porous implants for the cartilage-bone interface in the knee, which has now been commercialised. The novelty of this proposal lies in the broadening of the established scientific base of this technology to enable biomacromolecular structures with:
(A) controlled and complex pore orientation to mimic many normal multi-oriented tissue structures
(B) compositional and positional control to match varying local biochemical environments,
(C) the attachment of novel peptides designed to control cell behaviour, and
(D) mechanical control at both a local and macroscopic level to provide mechanical cues for cells.
These will be complemented by the development of
(E) robust characterisation methodologies for the structures created.
These advances will then be employed in each of the medical areas above.
This approach is highly interdisciplinary. Existing working relationships with experts in each medical field will guarantee expertise and licensed facilities in the required biological disciplines. Funds for this proposal would therefore establish a rich hub of mutually beneficial research and opportunities for cross-disciplinary sharing of expertise."
Summary
"This proposal develops a unified, underpinning technology to create novel, complex and biomimetic 3D environments for the control of tissue growth. As director of Cambridge Centre for Medical Materials, I have recently been approached by medical colleagues to help to solve important problems in the separate therapeutic areas of breast cancer, cardiac disease and blood disorders. In each case, the solution lies in complex 3D engineered environments for cell culture. These colleagues make it clear that existing 3D scaffolds fail to provide the required complex orientational and spatial anisotropy, and are limited in their ability to impart appropriate biochemical and mechanical cues.
I have a strong track record in this area. A particular success has been the use of a freeze drying technology to make collagen based porous implants for the cartilage-bone interface in the knee, which has now been commercialised. The novelty of this proposal lies in the broadening of the established scientific base of this technology to enable biomacromolecular structures with:
(A) controlled and complex pore orientation to mimic many normal multi-oriented tissue structures
(B) compositional and positional control to match varying local biochemical environments,
(C) the attachment of novel peptides designed to control cell behaviour, and
(D) mechanical control at both a local and macroscopic level to provide mechanical cues for cells.
These will be complemented by the development of
(E) robust characterisation methodologies for the structures created.
These advances will then be employed in each of the medical areas above.
This approach is highly interdisciplinary. Existing working relationships with experts in each medical field will guarantee expertise and licensed facilities in the required biological disciplines. Funds for this proposal would therefore establish a rich hub of mutually beneficial research and opportunities for cross-disciplinary sharing of expertise."
Max ERC Funding
2 486 267 €
Duration
Start date: 2013-04-01, End date: 2018-03-31
Project acronym 3DMOSHBOND
Project Three-Dimensional Mapping Of a Single Hydrogen Bond
Researcher (PI) Adam Marc SWEETMAN
Host Institution (HI) UNIVERSITY OF LEEDS
Call Details Starting Grant (StG), PE3, ERC-2017-STG
Summary All properties of matter are ultimately governed by the forces between single atoms, but our knowledge of interatomic, and intermolecular, potentials is often derived indirectly.
In 3DMOSHBOND, I outline a program of work designed to create a paradigm shift in the direct measurement of complex interatomic potentials via a fundamental reimagining of how atomic resolution imaging, and force measurement, techniques are applied.
To provide a clear proof of principle demonstration of the power of this concept, I propose to map the strength, shape and extent of single hydrogen bonding (H-bonding) interactions in 3D with sub-Angstrom precision. H-bonding is a key component governing intermolecular interactions, particularly for biologically important molecules. Despite its critical importance, H-bonding is relatively poorly understood, and the IUPAC definition of the H-bond was changed as recently as 2011- highlighting the relevance of a new means to engage with these fundamental interactions.
Hitherto unprecedented resolution and accuracy will be achieved via a creation of a novel layer of vertically oriented H-bonding molecules, functionalisation of the tip of a scanning probe microscope with a single complementary H-bonding molecule, and by complete characterisation of the position of all atoms in the junction. This will place two H-bonding groups “end on” and map the extent, and magnitude, of the H-bond with sub-Angstrom precision for a variety of systems. This investigation of the H-bond will present us with an unparalleled level of information regarding its properties.
Experimental results will be compared with ab initio density functional theory (DFT) simulations, to investigate the extent to which state-of-the-art simulations are able to reproduce the behaviour of the H-bonding interaction. The project will create a new generalised probe for the study of single atomic and molecular interactions.
Summary
All properties of matter are ultimately governed by the forces between single atoms, but our knowledge of interatomic, and intermolecular, potentials is often derived indirectly.
In 3DMOSHBOND, I outline a program of work designed to create a paradigm shift in the direct measurement of complex interatomic potentials via a fundamental reimagining of how atomic resolution imaging, and force measurement, techniques are applied.
To provide a clear proof of principle demonstration of the power of this concept, I propose to map the strength, shape and extent of single hydrogen bonding (H-bonding) interactions in 3D with sub-Angstrom precision. H-bonding is a key component governing intermolecular interactions, particularly for biologically important molecules. Despite its critical importance, H-bonding is relatively poorly understood, and the IUPAC definition of the H-bond was changed as recently as 2011- highlighting the relevance of a new means to engage with these fundamental interactions.
Hitherto unprecedented resolution and accuracy will be achieved via a creation of a novel layer of vertically oriented H-bonding molecules, functionalisation of the tip of a scanning probe microscope with a single complementary H-bonding molecule, and by complete characterisation of the position of all atoms in the junction. This will place two H-bonding groups “end on” and map the extent, and magnitude, of the H-bond with sub-Angstrom precision for a variety of systems. This investigation of the H-bond will present us with an unparalleled level of information regarding its properties.
Experimental results will be compared with ab initio density functional theory (DFT) simulations, to investigate the extent to which state-of-the-art simulations are able to reproduce the behaviour of the H-bonding interaction. The project will create a new generalised probe for the study of single atomic and molecular interactions.
Max ERC Funding
1 971 468 €
Duration
Start date: 2018-01-01, End date: 2022-12-31
Project acronym ACB
Project The Analytic Conformal Bootstrap
Researcher (PI) Luis Fernando ALDAY
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Advanced Grant (AdG), PE2, ERC-2017-ADG
Summary The aim of the present proposal is to establish a research team developing and exploiting innovative techniques to study conformal field theories (CFT) analytically. Our approach does not rely on a Lagrangian description but on symmetries and consistency conditions. As such it applies to any CFT, offering a unified framework to study generic CFTs analytically. The initial implementation of this program has already led to striking new results and insights for both Lagrangian and non-Lagrangian CFTs.
The overarching aims of my team will be: To develop an analytic bootstrap program for CFTs in general dimensions; to complement these techniques with more traditional methods and develop a systematic machinery to obtain analytic results for generic CFTs; and to use these results to gain new insights into the mathematical structure of the space of quantum field theories.
The proposal will bring together researchers from different areas. The objectives in brief are:
1) Develop an alternative to Feynman diagram computations for Lagrangian CFTs.
2) Develop a machinery to compute loops for QFT on AdS, with and without gravity.
3) Develop an analytic approach to non-perturbative N=4 SYM and other CFTs.
4) Determine the space of all CFTs.
5) Gain new insights into the mathematical structure of the space of quantum field theories.
The outputs of this proposal will include a new way of doing perturbative computations based on symmetries; a constructive derivation of the AdS/CFT duality; new analytic techniques to attack strongly coupled systems and invaluable new lessons about the space of CFTs and QFTs.
Success in this research will lead to a completely new, unified way to view and solve CFTs, with a huge impact on several branches of physics and mathematics.
Summary
The aim of the present proposal is to establish a research team developing and exploiting innovative techniques to study conformal field theories (CFT) analytically. Our approach does not rely on a Lagrangian description but on symmetries and consistency conditions. As such it applies to any CFT, offering a unified framework to study generic CFTs analytically. The initial implementation of this program has already led to striking new results and insights for both Lagrangian and non-Lagrangian CFTs.
The overarching aims of my team will be: To develop an analytic bootstrap program for CFTs in general dimensions; to complement these techniques with more traditional methods and develop a systematic machinery to obtain analytic results for generic CFTs; and to use these results to gain new insights into the mathematical structure of the space of quantum field theories.
The proposal will bring together researchers from different areas. The objectives in brief are:
1) Develop an alternative to Feynman diagram computations for Lagrangian CFTs.
2) Develop a machinery to compute loops for QFT on AdS, with and without gravity.
3) Develop an analytic approach to non-perturbative N=4 SYM and other CFTs.
4) Determine the space of all CFTs.
5) Gain new insights into the mathematical structure of the space of quantum field theories.
The outputs of this proposal will include a new way of doing perturbative computations based on symmetries; a constructive derivation of the AdS/CFT duality; new analytic techniques to attack strongly coupled systems and invaluable new lessons about the space of CFTs and QFTs.
Success in this research will lead to a completely new, unified way to view and solve CFTs, with a huge impact on several branches of physics and mathematics.
Max ERC Funding
2 171 483 €
Duration
Start date: 2018-12-01, End date: 2023-11-30
Project acronym ACOULOMODE
Project Advanced coupling of low order combustor simulations with thermoacoustic modelling and controller design
Researcher (PI) Aimee Morgans
Host Institution (HI) IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Call Details Starting Grant (StG), PE8, ERC-2012-StG_20111012
Summary "Combustion is essential to the world’s energy generation and transport needs, and will remain so for the foreseeable future. Mitigating its impact on the climate and human health, by reducing its associated emissions, is thus a priority. One significant challenge for gas-turbine combustion is combustion instability, which is currently inhibiting reductions in NOx emissions (these damage human health via a deterioration in air quality). Combustion instability is caused by a two-way coupling between unsteady combustion and acoustic waves - the large pressure oscillations that result can cause substantial mechanical damage. Currently, the lack of fast, accurate modelling tools for combustion instability, and the lack of reliable ways of suppressing it are severely hindering reductions in NOx emissions.
This proposal aims to make step improvements in both fast, accurate modelling of combustion instability, and in developing reliable active control strategies for its suppression. It will achieve this by coupling low order combustor models (these are fast, simplified models for simulating combustion instability) with advances in analytical modelling, CFD simulation, reduced order modelling and control theory tools. In particular:
* important advances in accurately incorporating the effect of entropy waves (temperature variations resulting from unsteady combustion) and non-linear flame models will be made;
* new active control strategies for achieving reliable suppression of combustion instability, including from within limit cycle oscillations, will be developed;
* an open-source low order combustor modelling tool will be developed and widely disseminated, opening access to researchers worldwide and improving communications between the fields of thermoacoustics and control theory.
Thus the proposal aims to use analytical and computational methods to contribute to achieving low NOx gas-turbine combustion, without the penalty of damaging combustion instability."
Summary
"Combustion is essential to the world’s energy generation and transport needs, and will remain so for the foreseeable future. Mitigating its impact on the climate and human health, by reducing its associated emissions, is thus a priority. One significant challenge for gas-turbine combustion is combustion instability, which is currently inhibiting reductions in NOx emissions (these damage human health via a deterioration in air quality). Combustion instability is caused by a two-way coupling between unsteady combustion and acoustic waves - the large pressure oscillations that result can cause substantial mechanical damage. Currently, the lack of fast, accurate modelling tools for combustion instability, and the lack of reliable ways of suppressing it are severely hindering reductions in NOx emissions.
This proposal aims to make step improvements in both fast, accurate modelling of combustion instability, and in developing reliable active control strategies for its suppression. It will achieve this by coupling low order combustor models (these are fast, simplified models for simulating combustion instability) with advances in analytical modelling, CFD simulation, reduced order modelling and control theory tools. In particular:
* important advances in accurately incorporating the effect of entropy waves (temperature variations resulting from unsteady combustion) and non-linear flame models will be made;
* new active control strategies for achieving reliable suppression of combustion instability, including from within limit cycle oscillations, will be developed;
* an open-source low order combustor modelling tool will be developed and widely disseminated, opening access to researchers worldwide and improving communications between the fields of thermoacoustics and control theory.
Thus the proposal aims to use analytical and computational methods to contribute to achieving low NOx gas-turbine combustion, without the penalty of damaging combustion instability."
Max ERC Funding
1 489 309 €
Duration
Start date: 2013-01-01, End date: 2017-12-31
Project acronym ACROSS
Project Australasian Colonization Research: Origins of Seafaring to Sahul
Researcher (PI) Rosemary Helen FARR
Host Institution (HI) UNIVERSITY OF SOUTHAMPTON
Call Details Starting Grant (StG), SH6, ERC-2017-STG
Summary One of the most exciting research questions within archaeology is that of the peopling of Australasia by at least c.50,000 years ago. This represents some of the earliest evidence of modern human colonization outside Africa, yet, even at the greatest sea-level lowstand, this migration would have involved seafaring. It is the maritime nature of this dispersal which makes it so important to questions of technological, cognitive and social human development. These issues have traditionally been the preserve of archaeologists, but with a multidisciplinary approach that embraces cutting-edge marine geophysical, hydrodynamic and archaeogenetic analyses, we now have the opportunity to examine the When, Where, Who and How of the earliest seafaring in world history.
The voyage from Sunda (South East Asia) to Sahul (Australasia) provides evidence for the earliest ‘open water’ crossing in the world. A combination of the sparse number of early archaeological finds and the significant changes in the palaeolandscape and submergence of the broad north western Australian continental shelf, mean that little is known about the routes taken and what these crossings may have entailed.
This project will combine research of the submerged palaeolandscape of the continental shelf to refine our knowledge of the onshore/offshore environment, identify potential submerged prehistoric sites and enhance our understanding of the palaeoshoreline and tidal regime. This will be combined with archaeogenetic research targeting mtDNA and Y-chromosome data to resolve questions of demography and dating.
For the first time this project takes a truly multidisciplinary approach to address the colonization of Sahul, providing an unique opportunity to tackle some of the most important questions about human origins, the relationship between humans and the changing environment, population dynamics and migration, seafaring technology, social organisation and cognition.
Summary
One of the most exciting research questions within archaeology is that of the peopling of Australasia by at least c.50,000 years ago. This represents some of the earliest evidence of modern human colonization outside Africa, yet, even at the greatest sea-level lowstand, this migration would have involved seafaring. It is the maritime nature of this dispersal which makes it so important to questions of technological, cognitive and social human development. These issues have traditionally been the preserve of archaeologists, but with a multidisciplinary approach that embraces cutting-edge marine geophysical, hydrodynamic and archaeogenetic analyses, we now have the opportunity to examine the When, Where, Who and How of the earliest seafaring in world history.
The voyage from Sunda (South East Asia) to Sahul (Australasia) provides evidence for the earliest ‘open water’ crossing in the world. A combination of the sparse number of early archaeological finds and the significant changes in the palaeolandscape and submergence of the broad north western Australian continental shelf, mean that little is known about the routes taken and what these crossings may have entailed.
This project will combine research of the submerged palaeolandscape of the continental shelf to refine our knowledge of the onshore/offshore environment, identify potential submerged prehistoric sites and enhance our understanding of the palaeoshoreline and tidal regime. This will be combined with archaeogenetic research targeting mtDNA and Y-chromosome data to resolve questions of demography and dating.
For the first time this project takes a truly multidisciplinary approach to address the colonization of Sahul, providing an unique opportunity to tackle some of the most important questions about human origins, the relationship between humans and the changing environment, population dynamics and migration, seafaring technology, social organisation and cognition.
Max ERC Funding
1 134 928 €
Duration
Start date: 2018-02-01, End date: 2023-01-31
Project acronym ADAPT
Project The Adoption of New Technological Arrays in the Production of Broadcast Television
Researcher (PI) John Cyril Paget Ellis
Host Institution (HI) ROYAL HOLLOWAY AND BEDFORD NEW COLLEGE
Call Details Advanced Grant (AdG), SH5, ERC-2012-ADG_20120411
Summary "Since 1960, the television industry has undergone successive waves of technological change. Both the methods of programme making and the programmes themselves have changed substantially. The current opening of TV’s vast archives to public and academic use has emphasised the need to explain old programming to new users. Why particular programmes are like they are is not obvious to the contemporary viewer: the prevailing technologies imposed limits and enabled forms that have fallen into disuse. The project will examine the processes of change which gave rise to the particular dominant configurations of technologies for sound and image capture and processing, and some idea of the national and regional variants that existed. It will emphasise the capabilities of the machines in use rather than the process of their invention. The project therefore studies how the technologies of film and tape were implemented; how both broadcasters and individual filmers coped with the conflicting demands of the different machines at their disposal; how new ‘standard ways of doing things’ gradually emerged; and how all of this enabled desired changes in the resultant programmes. The project will produce an overall written account of the principal changes in the technologies in use in broadcast TV since 1960 to the near present. It will offer a theory of technological innovation, and a major case study in the adoption of digital workflow management in production for broadcasting: the so-called ‘tapeless environment’ which is currently being implemented in major organisations. It will offer two historical case studies: a longditudinal study of the evolution of tape-based sound recording and one of the rapid change from 16mm film cutting to digital editing, a process that took less than five years. Reconstructions of the process of working with particular technological arrays will be filmed and will be made available as explanatory material for any online archive of TV material ."
Summary
"Since 1960, the television industry has undergone successive waves of technological change. Both the methods of programme making and the programmes themselves have changed substantially. The current opening of TV’s vast archives to public and academic use has emphasised the need to explain old programming to new users. Why particular programmes are like they are is not obvious to the contemporary viewer: the prevailing technologies imposed limits and enabled forms that have fallen into disuse. The project will examine the processes of change which gave rise to the particular dominant configurations of technologies for sound and image capture and processing, and some idea of the national and regional variants that existed. It will emphasise the capabilities of the machines in use rather than the process of their invention. The project therefore studies how the technologies of film and tape were implemented; how both broadcasters and individual filmers coped with the conflicting demands of the different machines at their disposal; how new ‘standard ways of doing things’ gradually emerged; and how all of this enabled desired changes in the resultant programmes. The project will produce an overall written account of the principal changes in the technologies in use in broadcast TV since 1960 to the near present. It will offer a theory of technological innovation, and a major case study in the adoption of digital workflow management in production for broadcasting: the so-called ‘tapeless environment’ which is currently being implemented in major organisations. It will offer two historical case studies: a longditudinal study of the evolution of tape-based sound recording and one of the rapid change from 16mm film cutting to digital editing, a process that took less than five years. Reconstructions of the process of working with particular technological arrays will be filmed and will be made available as explanatory material for any online archive of TV material ."
Max ERC Funding
1 680 121 €
Duration
Start date: 2013-08-01, End date: 2018-07-31
Project acronym ADOR
Project Assembly-disassembly-organisation-reassembly of microporous materials
Researcher (PI) Russell MORRIS
Host Institution (HI) THE UNIVERSITY COURT OF THE UNIVERSITY OF ST ANDREWS
Call Details Advanced Grant (AdG), PE5, ERC-2017-ADG
Summary Microporous materials are an important class of solid; the two main members of this family are zeolites and metal-organic frameworks (MOFs). Zeolites are industrial solids whose applications range from catalysis, through ion exchange and adsorption technologies to medicine. MOFs are some of the most exciting new materials to have been developed over the last two decades, and they are just beginning to be applied commercially.
Over recent years the applicant’s group has developed new synthetic strategies to prepare microporous materials, called the Assembly-Disassembly-Organisation-Reassembly (ADOR) process. In significant preliminary work the ADOR process has shown to be an extremely important new synthetic methodology that differs fundamentally from traditional solvothermal methods.
In this project I will look to overturn the conventional thinking in materials science by developing methodologies that can target both zeolites and MOF materials that are difficult to prepare using traditional methods – the so-called ‘unfeasible’ materials. The importance of such a new methodology is that it will open up routes to materials that have different properties (both chemical and topological) to those we currently have. Since zeolites and MOFs have so many actual and potential uses, the preparation of materials with different properties has a high chance of leading to new technologies in the medium/long term. To complete the major objective I will look to complete four closely linked activities covering the development of design strategies for zeolites and MOFs (activities 1 & 2), mechanistic studies to understand the process at the molecular level using in situ characterisation techniques (activity 3) and an exploration of potential applied science for the prepared materials (activity 4).
Summary
Microporous materials are an important class of solid; the two main members of this family are zeolites and metal-organic frameworks (MOFs). Zeolites are industrial solids whose applications range from catalysis, through ion exchange and adsorption technologies to medicine. MOFs are some of the most exciting new materials to have been developed over the last two decades, and they are just beginning to be applied commercially.
Over recent years the applicant’s group has developed new synthetic strategies to prepare microporous materials, called the Assembly-Disassembly-Organisation-Reassembly (ADOR) process. In significant preliminary work the ADOR process has shown to be an extremely important new synthetic methodology that differs fundamentally from traditional solvothermal methods.
In this project I will look to overturn the conventional thinking in materials science by developing methodologies that can target both zeolites and MOF materials that are difficult to prepare using traditional methods – the so-called ‘unfeasible’ materials. The importance of such a new methodology is that it will open up routes to materials that have different properties (both chemical and topological) to those we currently have. Since zeolites and MOFs have so many actual and potential uses, the preparation of materials with different properties has a high chance of leading to new technologies in the medium/long term. To complete the major objective I will look to complete four closely linked activities covering the development of design strategies for zeolites and MOFs (activities 1 & 2), mechanistic studies to understand the process at the molecular level using in situ characterisation techniques (activity 3) and an exploration of potential applied science for the prepared materials (activity 4).
Max ERC Funding
2 489 220 €
Duration
Start date: 2018-10-01, End date: 2023-09-30
Project acronym AF and MSOGR
Project Automorphic Forms and Moduli Spaces of Galois Representations
Researcher (PI) Toby Gee
Host Institution (HI) IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Call Details Starting Grant (StG), PE1, ERC-2012-StG_20111012
Summary I propose to establish a research group to develop completely new tools in order to solve three important problems on the relationships between automorphic forms and Galois representations, which lie at the heart of the Langlands program. The first is to prove Serre’s conjecture for real quadratic fields. I will use automorphic induction to transfer the problem to U(4) over the rational numbers, where I will use automorphy lifting theorems and results on the weight part of Serre's conjecture that I established in my earlier work to reduce the problem to proving results in small weight and level. I will prove these base cases via integral p-adic Hodge theory and discriminant bounds.
The second is to develop a geometric theory of moduli spaces of mod p and p-adic Galois representations, and to use it to establish the Breuil–Mézard conjecture in arbitrary dimension, by reinterpreting the conjecture in geometric terms. This will transform the subject by building the first connections between the p-adic Langlands program and the geometric Langlands program, providing an entirely new world of techniques for number theorists. As a consequence of the Breuil-Mézard conjecture, I will be able to deduce far stronger automorphy lifting theorems (in arbitrary dimension) than those currently available.
The third is to completely determine the reduction mod p of certain two-dimensional crystalline representations, and as an application prove a strengthened version of the Gouvêa–Mazur conjecture. I will do this by means of explicit computations with the p-adic local Langlands correspondence for GL_2(Q_p), as well as by improving existing arguments which prove multiplicity one theorems via automorphy lifting theorems. This work will show that the existence of counterexamples to the Gouvêa-Mazur conjecture is due to a purely local phenomenon, and that when this local obstruction vanishes, far stronger conjectures of Buzzard on the slopes of the U_p operator hold.
Summary
I propose to establish a research group to develop completely new tools in order to solve three important problems on the relationships between automorphic forms and Galois representations, which lie at the heart of the Langlands program. The first is to prove Serre’s conjecture for real quadratic fields. I will use automorphic induction to transfer the problem to U(4) over the rational numbers, where I will use automorphy lifting theorems and results on the weight part of Serre's conjecture that I established in my earlier work to reduce the problem to proving results in small weight and level. I will prove these base cases via integral p-adic Hodge theory and discriminant bounds.
The second is to develop a geometric theory of moduli spaces of mod p and p-adic Galois representations, and to use it to establish the Breuil–Mézard conjecture in arbitrary dimension, by reinterpreting the conjecture in geometric terms. This will transform the subject by building the first connections between the p-adic Langlands program and the geometric Langlands program, providing an entirely new world of techniques for number theorists. As a consequence of the Breuil-Mézard conjecture, I will be able to deduce far stronger automorphy lifting theorems (in arbitrary dimension) than those currently available.
The third is to completely determine the reduction mod p of certain two-dimensional crystalline representations, and as an application prove a strengthened version of the Gouvêa–Mazur conjecture. I will do this by means of explicit computations with the p-adic local Langlands correspondence for GL_2(Q_p), as well as by improving existing arguments which prove multiplicity one theorems via automorphy lifting theorems. This work will show that the existence of counterexamples to the Gouvêa-Mazur conjecture is due to a purely local phenomenon, and that when this local obstruction vanishes, far stronger conjectures of Buzzard on the slopes of the U_p operator hold.
Max ERC Funding
1 131 339 €
Duration
Start date: 2012-10-01, End date: 2017-09-30
Project acronym AFIRMATIVE
Project Acoustic-Flow Interaction Models for Advancing Thermoacoustic Instability prediction in Very low Emission combustors
Researcher (PI) Aimee MORGANS
Host Institution (HI) IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Call Details Consolidator Grant (CoG), PE8, ERC-2017-COG
Summary Gas turbines are an essential ingredient in the long-term energy and aviation mix. They are flexible, offer fast start-up and the ability to burn renewable-generated fuels. However, they generate NOx emissions, which cause air pollution and damage human health, and reducing these is an air quality imperative. A major hurdle to this is that lean premixed combustion, essential for further NOx emission reductions, is highly susceptible to thermoacoustic instability. This is caused by a two-way coupling between unsteady combustion and acoustic waves, and the resulting large pressure oscillations can cause severe mechanical damage. Computational methods for predicting thermoacoustic instability, fast and accurate enough to be used as part of the industrial design process, are urgently needed.
The only computational methods with the prospect of being fast enough are those based on coupled treatment of the acoustic waves and unsteady combustion. These exploit the amenity of the acoustic waves to analytical modelling, allowing costly simulations to be directed only at the more complex flame. They show real promise: my group recently demonstrated the first accurate coupled predictions for lab-scale combustors. The method does not yet extend to industrial combustors, the more complex flow-fields in these rendering current acoustic models overly-simplistic. I propose to comprehensively overhaul acoustic models across the entirety of the combustor, accounting for real and important acoustic-flow interactions. These new models will offer the breakthrough prospect of extending efficient, accurate predictive capability to industrial combustors, which has a real chance of facilitating future, instability free, very low NOx gas turbines.
Summary
Gas turbines are an essential ingredient in the long-term energy and aviation mix. They are flexible, offer fast start-up and the ability to burn renewable-generated fuels. However, they generate NOx emissions, which cause air pollution and damage human health, and reducing these is an air quality imperative. A major hurdle to this is that lean premixed combustion, essential for further NOx emission reductions, is highly susceptible to thermoacoustic instability. This is caused by a two-way coupling between unsteady combustion and acoustic waves, and the resulting large pressure oscillations can cause severe mechanical damage. Computational methods for predicting thermoacoustic instability, fast and accurate enough to be used as part of the industrial design process, are urgently needed.
The only computational methods with the prospect of being fast enough are those based on coupled treatment of the acoustic waves and unsteady combustion. These exploit the amenity of the acoustic waves to analytical modelling, allowing costly simulations to be directed only at the more complex flame. They show real promise: my group recently demonstrated the first accurate coupled predictions for lab-scale combustors. The method does not yet extend to industrial combustors, the more complex flow-fields in these rendering current acoustic models overly-simplistic. I propose to comprehensively overhaul acoustic models across the entirety of the combustor, accounting for real and important acoustic-flow interactions. These new models will offer the breakthrough prospect of extending efficient, accurate predictive capability to industrial combustors, which has a real chance of facilitating future, instability free, very low NOx gas turbines.
Max ERC Funding
1 985 288 €
Duration
Start date: 2018-06-01, End date: 2023-05-31