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 ANTI-ATOM
Project Many-body theory of antimatter interactions with atoms, molecules and condensed matter
Researcher (PI) Dermot GREEN
Host Institution (HI) THE QUEEN'S UNIVERSITY OF BELFAST
Call Details Starting Grant (StG), PE2, ERC-2018-STG
Summary The ability of positrons to annihilate with electrons, producing characteristic gamma rays, gives them important use in medicine via positron-emission tomography (PET), diagnostics of industrially-important materials, and in elucidating astrophysical phenomena. Moreover, the fundamental interactions of positrons and positronium (Ps) with atoms, molecules and condensed matter are currently under intensive study in numerous international laboratories, to illuminate collision phenomena and perform precision tests of fundamental laws.
Proper interpretation and development of these costly and difficult experiments requires accurate calculations of low-energy positron and Ps interactions with normal matter. These systems, however, involve strong correlations, e.g., polarisation of the atom and virtual-Ps formation (where an atomic electron tunnels to the positron): they significantly effect positron- and Ps-atom/molecule interactions, e.g., enhancing annihilation rates by many orders of magnitude, and making the accurate description of these systems a challenging many-body problem. Current theoretical capability lags severely behind that of experiment. Major theoretical and computational developments are required to bridge the gap.
One powerful method, which accounts for the correlations in a natural, transparent and systematic way, is many-body theory (MBT). Building on my expertise in the field, I propose to develop new MBT to deliver unique and unrivalled capability in theory and computation of low-energy positron and Ps interactions with atoms, molecules, and condensed matter. The ambitious programme will provide the basic understanding required to interpret and develop the fundamental experiments, antimatter-based materials science techniques, and wider technologies, e.g., (PET), and more broadly, potentially revolutionary and generally applicable computational methodologies that promise to define a new level of high-precision in atomic-MBT calculations.
Summary
The ability of positrons to annihilate with electrons, producing characteristic gamma rays, gives them important use in medicine via positron-emission tomography (PET), diagnostics of industrially-important materials, and in elucidating astrophysical phenomena. Moreover, the fundamental interactions of positrons and positronium (Ps) with atoms, molecules and condensed matter are currently under intensive study in numerous international laboratories, to illuminate collision phenomena and perform precision tests of fundamental laws.
Proper interpretation and development of these costly and difficult experiments requires accurate calculations of low-energy positron and Ps interactions with normal matter. These systems, however, involve strong correlations, e.g., polarisation of the atom and virtual-Ps formation (where an atomic electron tunnels to the positron): they significantly effect positron- and Ps-atom/molecule interactions, e.g., enhancing annihilation rates by many orders of magnitude, and making the accurate description of these systems a challenging many-body problem. Current theoretical capability lags severely behind that of experiment. Major theoretical and computational developments are required to bridge the gap.
One powerful method, which accounts for the correlations in a natural, transparent and systematic way, is many-body theory (MBT). Building on my expertise in the field, I propose to develop new MBT to deliver unique and unrivalled capability in theory and computation of low-energy positron and Ps interactions with atoms, molecules, and condensed matter. The ambitious programme will provide the basic understanding required to interpret and develop the fundamental experiments, antimatter-based materials science techniques, and wider technologies, e.g., (PET), and more broadly, potentially revolutionary and generally applicable computational methodologies that promise to define a new level of high-precision in atomic-MBT calculations.
Max ERC Funding
1 318 419 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym ANTINEUTRINONOVA
Project Probing Fundamental Physics with Antineutrinos at the NOvA Experiment
Researcher (PI) Jeffrey Hartnell
Host Institution (HI) THE UNIVERSITY OF SUSSEX
Call Details Starting Grant (StG), PE2, ERC-2012-StG_20111012
Summary "This proposal addresses major questions in particle physics that are at the forefront of experimental and theoretical physics research today. The results offered would have far-reaching implications in other fields such as cosmology and could help answer some of the big questions such as why the universe contains so much more matter than antimatter. The research objectives of this proposal are to (i) make world-leading tests of CPT symmetry and (ii) discover the neutrino mass hierarchy and search for indications of leptonic CP violation.
The NOvA long-baseline neutrino oscillation experiment will use a novel ""totally active scintillator design"" for the detector technology and will be exposed to the world's highest power neutrino beam. Building on the first direct observation of muon antineutrino disappearance (that was made by a group founded and led by the PI at the MINOS experiment), tests of CPT symmetry will be performed by looking for differences in the mass squared splittings and mixing angles between neutrinos and antineutrinos. The potential to discover the mass hierarchy is unique to NOvA on the timescale of this proposal due to the long 810 km baseline and the well measured beam of neutrinos and antineutrinos.
This proposal addresses several key challenges in a long-baseline neutrino oscillation experiment with the following tasks: (i) development of a new approach to event energy reconstruction that is expected to have widespread applicability for future neutrino experiments; (ii) undertaking a comprehensive calibration project, exploiting a novel technique developed by the PI, that will be essential to achieving the physics goals; (iii) development of a sophisticated statistical analyses.
The results promised in this proposal surpass the sensitivity to antineutrino oscillation parameters of current 1st generation experiments by at least an order of magnitude, offering wide scope for profound discoveries with implications across disciplines."
Summary
"This proposal addresses major questions in particle physics that are at the forefront of experimental and theoretical physics research today. The results offered would have far-reaching implications in other fields such as cosmology and could help answer some of the big questions such as why the universe contains so much more matter than antimatter. The research objectives of this proposal are to (i) make world-leading tests of CPT symmetry and (ii) discover the neutrino mass hierarchy and search for indications of leptonic CP violation.
The NOvA long-baseline neutrino oscillation experiment will use a novel ""totally active scintillator design"" for the detector technology and will be exposed to the world's highest power neutrino beam. Building on the first direct observation of muon antineutrino disappearance (that was made by a group founded and led by the PI at the MINOS experiment), tests of CPT symmetry will be performed by looking for differences in the mass squared splittings and mixing angles between neutrinos and antineutrinos. The potential to discover the mass hierarchy is unique to NOvA on the timescale of this proposal due to the long 810 km baseline and the well measured beam of neutrinos and antineutrinos.
This proposal addresses several key challenges in a long-baseline neutrino oscillation experiment with the following tasks: (i) development of a new approach to event energy reconstruction that is expected to have widespread applicability for future neutrino experiments; (ii) undertaking a comprehensive calibration project, exploiting a novel technique developed by the PI, that will be essential to achieving the physics goals; (iii) development of a sophisticated statistical analyses.
The results promised in this proposal surpass the sensitivity to antineutrino oscillation parameters of current 1st generation experiments by at least an order of magnitude, offering wide scope for profound discoveries with implications across disciplines."
Max ERC Funding
1 415 848 €
Duration
Start date: 2012-10-01, End date: 2018-09-30
Project acronym APGRAPH
Project Asymptotic Graph Properties
Researcher (PI) Deryk Osthus
Host Institution (HI) THE UNIVERSITY OF BIRMINGHAM
Call Details Starting Grant (StG), PE1, ERC-2012-StG_20111012
Summary Many parts of Graph Theory have witnessed a huge growth over the last years, partly because of their relation to Theoretical Computer Science and Statistical Physics. These connections arise because graphs can be used to model many diverse structures.
The focus of this proposal is on asymptotic results, i.e. the graphs under consideration are large. This often unveils patterns and connections which remain obscure when considering only small graphs.
It also allows for the use of powerful techniques such as probabilistic arguments, which have led to spectacular new developments. In particular, my aim is to make decisive progress on central problems in the following 4 areas:
(1) Factorizations: Factorizations of graphs can be viewed as partitions of the edges of a graph into simple regular structures. They have a rich history and arise in many different settings, such as edge-colouring problems, decomposition problems and in information theory. They also have applications to finding good tours for the famous Travelling salesman problem.
(2) Hamilton cycles: A Hamilton cycle is a cycle which contains all the vertices of the graph. One of the most fundamental problems in Graph Theory/Theoretical Computer Science is to find conditions which guarantee the existence of a Hamilton cycle in a graph.
(3) Embeddings of graphs: This is a natural (but difficult) continuation of the previous question where the aim is to embed more general structures than Hamilton cycles - there has been exciting progress here in recent years which has opened up new avenues.
(4) Resilience of graphs: In many cases, it is important to know whether a graph `strongly’ possesses some property, i.e. one cannot destroy the property by changing a few edges. The systematic study of this notion is a new and rapidly growing area.
I have developed new methods for deep and long-standing problems in these areas which will certainly lead to further applications elsewhere.
Summary
Many parts of Graph Theory have witnessed a huge growth over the last years, partly because of their relation to Theoretical Computer Science and Statistical Physics. These connections arise because graphs can be used to model many diverse structures.
The focus of this proposal is on asymptotic results, i.e. the graphs under consideration are large. This often unveils patterns and connections which remain obscure when considering only small graphs.
It also allows for the use of powerful techniques such as probabilistic arguments, which have led to spectacular new developments. In particular, my aim is to make decisive progress on central problems in the following 4 areas:
(1) Factorizations: Factorizations of graphs can be viewed as partitions of the edges of a graph into simple regular structures. They have a rich history and arise in many different settings, such as edge-colouring problems, decomposition problems and in information theory. They also have applications to finding good tours for the famous Travelling salesman problem.
(2) Hamilton cycles: A Hamilton cycle is a cycle which contains all the vertices of the graph. One of the most fundamental problems in Graph Theory/Theoretical Computer Science is to find conditions which guarantee the existence of a Hamilton cycle in a graph.
(3) Embeddings of graphs: This is a natural (but difficult) continuation of the previous question where the aim is to embed more general structures than Hamilton cycles - there has been exciting progress here in recent years which has opened up new avenues.
(4) Resilience of graphs: In many cases, it is important to know whether a graph `strongly’ possesses some property, i.e. one cannot destroy the property by changing a few edges. The systematic study of this notion is a new and rapidly growing area.
I have developed new methods for deep and long-standing problems in these areas which will certainly lead to further applications elsewhere.
Max ERC Funding
818 414 €
Duration
Start date: 2012-12-01, End date: 2018-11-30
Project acronym CarnoMorph
Project The Evolution and Development of Complex Morphologies
Researcher (PI) Enrico Coen
Host Institution (HI) JOHN INNES CENTRE
Call Details Advanced Grant (AdG), LS3, ERC-2012-ADG_20120314
Summary Plant and animal organs display a remarkable diversity of shapes. A major challenge in developmental and evolutionary biology is to understand how this diversity of forms is generated. Recent advances in imaging, computational modelling and genomics now make it possible to address this challenge effectively for the first time. Leaf development is a particularly tractable system because of its accessibility to imaging and preservation of connectivity during growth. Leaves also display remarkable diversity in shape and form, with perhaps the most complex form being the pitcher-shaped (epiascidiate) leaves of carnivorous plants. This form has evolved four times independently, raising the question of whether its seeming complexity may have arisen through simple modulations in underlying morphogenetic mechanisms. To test this hypothesis, I aim to develop a model system for carnivorous plants based on Utricularia gibba (humped bladderwort), which has the advantage of having one of the smallest genomes known in plants (~2/3 the size of the Arabidopsis genome) and small transparent pitcher-shaped leaves amenable to imaging. I will use this system to define the morphogenetic events underlying the formation of pitcher-shaped leaves and their molecular genetic control. I will also develop and apply computational modelling to explore hypotheses that may account for the development of U. gibba bladders and further test these hypotheses experimentally. In addition, I will investigate the relationship between U. gibba bladder development and species with simpler leaf shapes, such as Arabidopsis, or species where the epiascidiate form has evolved independently. Taken together, these studies should show how developmental rules elucidated in current model systems might be extended and built upon to account for the diversity and complexity of tissue forms, integrating evo-devo approaches with a mechanistic understanding of morphogenesis.
Summary
Plant and animal organs display a remarkable diversity of shapes. A major challenge in developmental and evolutionary biology is to understand how this diversity of forms is generated. Recent advances in imaging, computational modelling and genomics now make it possible to address this challenge effectively for the first time. Leaf development is a particularly tractable system because of its accessibility to imaging and preservation of connectivity during growth. Leaves also display remarkable diversity in shape and form, with perhaps the most complex form being the pitcher-shaped (epiascidiate) leaves of carnivorous plants. This form has evolved four times independently, raising the question of whether its seeming complexity may have arisen through simple modulations in underlying morphogenetic mechanisms. To test this hypothesis, I aim to develop a model system for carnivorous plants based on Utricularia gibba (humped bladderwort), which has the advantage of having one of the smallest genomes known in plants (~2/3 the size of the Arabidopsis genome) and small transparent pitcher-shaped leaves amenable to imaging. I will use this system to define the morphogenetic events underlying the formation of pitcher-shaped leaves and their molecular genetic control. I will also develop and apply computational modelling to explore hypotheses that may account for the development of U. gibba bladders and further test these hypotheses experimentally. In addition, I will investigate the relationship between U. gibba bladder development and species with simpler leaf shapes, such as Arabidopsis, or species where the epiascidiate form has evolved independently. Taken together, these studies should show how developmental rules elucidated in current model systems might be extended and built upon to account for the diversity and complexity of tissue forms, integrating evo-devo approaches with a mechanistic understanding of morphogenesis.
Max ERC Funding
2 499 997 €
Duration
Start date: 2013-06-01, End date: 2018-05-31
Project acronym CGR2011TPS
Project Challenging General Relativity
Researcher (PI) Thomas Sotiriou
Host Institution (HI) THE UNIVERSITY OF NOTTINGHAM
Call Details Starting Grant (StG), PE2, ERC-2012-StG_20111012
Summary General relativity, Einstein's celebrated theory, has been very successful as a theory of the gravitational interaction. However, within the course of the last decades several issues have been pointed out as indicating its limitations: the inevitable existence of spacetime singularities and the fact that it is not a renormalizable theory manifest as shortcomings at very small scales. The inability of the theory to explain the late time accelerated expansion of the universe or the rotational curves of galaxies without the need of unobserved, mysterious forms of matter/energy can be interpreted as shortcomings at large scales. These riddles make gravity by far the most enigmatic of interactions nowadays. Therefore, the understanding of gravity beyond general relativity seems to be more pertinent than ever.
We propose to address this difficult issue by considering a synthetic approach towards the understand of the limitations of general relativity and the study of phenomenology which is usually considered to be outsides its realm. The proposed directions include, but are not limited to: the study of quantum gravity candidates and their phenomenology; extensions or modifications of general relativity which may address renormalizability issues or cosmological observations; explorations of fundamental principles of general relativity and the possible violation of such principles; the study of the implications of deviations from Einstein's theory for astrophysics and cosmology and the possible ways to constrain such deviations; and the study of effects within the framework of general relativity which lie at the limit of its validity as a gravity theory. The deeper understanding of each of these issues will provide an important piece to the puzzle. The synthesis of this pieces is most likely to significantly aid our understanding of gravity, and this is our ultimate goal.
Summary
General relativity, Einstein's celebrated theory, has been very successful as a theory of the gravitational interaction. However, within the course of the last decades several issues have been pointed out as indicating its limitations: the inevitable existence of spacetime singularities and the fact that it is not a renormalizable theory manifest as shortcomings at very small scales. The inability of the theory to explain the late time accelerated expansion of the universe or the rotational curves of galaxies without the need of unobserved, mysterious forms of matter/energy can be interpreted as shortcomings at large scales. These riddles make gravity by far the most enigmatic of interactions nowadays. Therefore, the understanding of gravity beyond general relativity seems to be more pertinent than ever.
We propose to address this difficult issue by considering a synthetic approach towards the understand of the limitations of general relativity and the study of phenomenology which is usually considered to be outsides its realm. The proposed directions include, but are not limited to: the study of quantum gravity candidates and their phenomenology; extensions or modifications of general relativity which may address renormalizability issues or cosmological observations; explorations of fundamental principles of general relativity and the possible violation of such principles; the study of the implications of deviations from Einstein's theory for astrophysics and cosmology and the possible ways to constrain such deviations; and the study of effects within the framework of general relativity which lie at the limit of its validity as a gravity theory. The deeper understanding of each of these issues will provide an important piece to the puzzle. The synthesis of this pieces is most likely to significantly aid our understanding of gravity, and this is our ultimate goal.
Max ERC Funding
1 375 226 €
Duration
Start date: 2012-08-01, End date: 2018-01-31
Project acronym CHRONO
Project Chronotype, health and family: The role of biology, socio- and natural environment and their interaction
Researcher (PI) Melinda MILLS
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Advanced Grant (AdG), SH3, ERC-2018-ADG
Summary The widespread use of electronic devices, artificial light and rise of the 24-hour economy means that more individuals experience disruption of their chronotype, which is the natural circadian rhythm that regulates sleep and activity levels. The natural and medical sciences focus on the natural environment (e.g., light exposure), genetics, biology and health consequences, whereas the social sciences have largely explored the socio-environment (e.g., working regulations) and psychological and familial consequences of nonstandard work schedules. For the first time CHRONO bridges these disparate disciplines to ask: What is the role of biology, the natural and socio-environment and their interaction on predicting and understanding resilience to chronotype disruption and how does this in turn impact an individual’s health (sleep, cancer, obesity, digestive problems) and family (partnership, children) outcomes? I propose to: (1) develop a multifactor interdisciplinary theoretical model; (2) disrupt data collection by crowdsourcing a sociogenomic dataset with novel measures; (3) discover and validate with informed machine learning innovative measures of chronotype (molecular genetic, accelerometer, microbiome, patient-record, self-reported) and the natural and socio-environment; (4) ask fundamentally new substantive questions to determine how chronotype disruption influences health and family outcomes and, via Biology x Environment interaction (BxE), whether this is moderated by the natural or socio-environment; and, (5) develop new statistical models and methods to cope with contentious issues, answer longitudinal questions and engage in novel quasi-experiments (e.g., policy and life course changes) to transcend description to identify endogenous factors and causal mechanisms. Interdisciplinary in the truest sense, CHRONO will overturn long-held substantive findings of the causes and consequences of chronotype disruption.
Summary
The widespread use of electronic devices, artificial light and rise of the 24-hour economy means that more individuals experience disruption of their chronotype, which is the natural circadian rhythm that regulates sleep and activity levels. The natural and medical sciences focus on the natural environment (e.g., light exposure), genetics, biology and health consequences, whereas the social sciences have largely explored the socio-environment (e.g., working regulations) and psychological and familial consequences of nonstandard work schedules. For the first time CHRONO bridges these disparate disciplines to ask: What is the role of biology, the natural and socio-environment and their interaction on predicting and understanding resilience to chronotype disruption and how does this in turn impact an individual’s health (sleep, cancer, obesity, digestive problems) and family (partnership, children) outcomes? I propose to: (1) develop a multifactor interdisciplinary theoretical model; (2) disrupt data collection by crowdsourcing a sociogenomic dataset with novel measures; (3) discover and validate with informed machine learning innovative measures of chronotype (molecular genetic, accelerometer, microbiome, patient-record, self-reported) and the natural and socio-environment; (4) ask fundamentally new substantive questions to determine how chronotype disruption influences health and family outcomes and, via Biology x Environment interaction (BxE), whether this is moderated by the natural or socio-environment; and, (5) develop new statistical models and methods to cope with contentious issues, answer longitudinal questions and engage in novel quasi-experiments (e.g., policy and life course changes) to transcend description to identify endogenous factors and causal mechanisms. Interdisciplinary in the truest sense, CHRONO will overturn long-held substantive findings of the causes and consequences of chronotype disruption.
Max ERC Funding
2 499 811 €
Duration
Start date: 2019-11-01, End date: 2024-10-31
Project acronym COIMBRA
Project Combinatorial methods in noncommutative ring theory
Researcher (PI) Agata Smoktunowicz
Host Institution (HI) THE UNIVERSITY OF EDINBURGH
Call Details Advanced Grant (AdG), PE1, ERC-2012-ADG_20120216
Summary As noted by T Y Lam in his book, A first course in noncommutative rings, noncommutative ring theory is a fertile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential operators), noncommutative algebraic geometry (graded domains), arithmetic (orders, Brauer groups), universal algebra (co-homology of rings, projective modules) and quantum physics (quantum matrices). As such, noncommutative ring theory is an area which has the potential to produce developments in many areas and in an efficient manner. The main aim of the project is to develop methods which could be applicable not only in ring theory but also in other areas, and then apply them to solve several important open questions in mathematics. The Principal Investigator, along with two PhD students and two post doctorates, propose to: study basic open questions on infinite dimensional associative noncommutative algebras; pool their expertise so as to tackle problems from a number of related areas of mathematics using noncommutative ring theory, and develop new approaches to existing problems that will benefit future researchers. A part of our methodology would be to first improve (in some cases) Bergman's Diamond Lemma, and then apply it to several open problems. The Diamond Lemma gives bases for the algebras defined by given sets of relations. In general, it is very difficult to determine if the algebra given by a concrete set of relations is non-trivial or infinite dimensional. Our approach is to introduce smaller rings, which we will call platinum rings. The next step would then be to apply the Diamond Lemma to the platinum ring instead of the original rings. Such results would have many applications in group theory, noncommutative projective geometry, nonassociative algebras and no doubt other areas as well.
Summary
As noted by T Y Lam in his book, A first course in noncommutative rings, noncommutative ring theory is a fertile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential operators), noncommutative algebraic geometry (graded domains), arithmetic (orders, Brauer groups), universal algebra (co-homology of rings, projective modules) and quantum physics (quantum matrices). As such, noncommutative ring theory is an area which has the potential to produce developments in many areas and in an efficient manner. The main aim of the project is to develop methods which could be applicable not only in ring theory but also in other areas, and then apply them to solve several important open questions in mathematics. The Principal Investigator, along with two PhD students and two post doctorates, propose to: study basic open questions on infinite dimensional associative noncommutative algebras; pool their expertise so as to tackle problems from a number of related areas of mathematics using noncommutative ring theory, and develop new approaches to existing problems that will benefit future researchers. A part of our methodology would be to first improve (in some cases) Bergman's Diamond Lemma, and then apply it to several open problems. The Diamond Lemma gives bases for the algebras defined by given sets of relations. In general, it is very difficult to determine if the algebra given by a concrete set of relations is non-trivial or infinite dimensional. Our approach is to introduce smaller rings, which we will call platinum rings. The next step would then be to apply the Diamond Lemma to the platinum ring instead of the original rings. Such results would have many applications in group theory, noncommutative projective geometry, nonassociative algebras and no doubt other areas as well.
Max ERC Funding
1 406 551 €
Duration
Start date: 2013-06-01, End date: 2018-05-31
Project acronym ColonCan
Project Targeting downstream effectors of Wnt signaling in colorectal cancer
Researcher (PI) Owen James Sansom
Host Institution (HI) BEATSON INSTITUTE FOR CANCER RESEARCH LBG
Call Details Starting Grant (StG), LS3, ERC-2012-StG_20111109
Summary Colorectal cancer (CRC) is one of the most common cancers of the western world. The underlying initiating mutation for the majority of CRC is within the Adenomatous Polyposis Coli (Apc) gene. The APC protein performs an important role in controlling the levels of Wnt signalling by targeting beta-catenin for degradation. Loss of the APC protein leads to the activation of Wnt signaling target genes such as c-Myc which is required for phenotypes causes by Apc loss.
However, despite the clear importance of APC loss and deregulated Wnt signalling, additional events are required for the development of CRC such as KRAS and P53 mutations.The impact of these changes on the development of CRC and response to therapy is not well understood. Furthermore, identification and testing of potential novel targets and therapies is hampered by lack of a preclinical model that faithfully recapitulates the course of the human disease.
This proposal has two aims:
1. Assess the impact of cooperating mutations with Apc and assess how they alter sensitivities of
Apc deficient cells.
2. Develop mouse models of invasive and metastatic colorectal cancer that recapitulate the human disease.
We will use ‘state of the art’ methodologies to identify the changes in signaling output conferred by these cooperating mutations. Genetic mouse models of invasive and metastatic colorectal cancers will be generated through the acquisition of additional mutations and genomic instability.
These studies will produce predictions on therapeutic combinations that will be tested in mouse models in vitro and in vivo that may identify new treatment regimens for patients with late stage CRC.
Summary
Colorectal cancer (CRC) is one of the most common cancers of the western world. The underlying initiating mutation for the majority of CRC is within the Adenomatous Polyposis Coli (Apc) gene. The APC protein performs an important role in controlling the levels of Wnt signalling by targeting beta-catenin for degradation. Loss of the APC protein leads to the activation of Wnt signaling target genes such as c-Myc which is required for phenotypes causes by Apc loss.
However, despite the clear importance of APC loss and deregulated Wnt signalling, additional events are required for the development of CRC such as KRAS and P53 mutations.The impact of these changes on the development of CRC and response to therapy is not well understood. Furthermore, identification and testing of potential novel targets and therapies is hampered by lack of a preclinical model that faithfully recapitulates the course of the human disease.
This proposal has two aims:
1. Assess the impact of cooperating mutations with Apc and assess how they alter sensitivities of
Apc deficient cells.
2. Develop mouse models of invasive and metastatic colorectal cancer that recapitulate the human disease.
We will use ‘state of the art’ methodologies to identify the changes in signaling output conferred by these cooperating mutations. Genetic mouse models of invasive and metastatic colorectal cancers will be generated through the acquisition of additional mutations and genomic instability.
These studies will produce predictions on therapeutic combinations that will be tested in mouse models in vitro and in vivo that may identify new treatment regimens for patients with late stage CRC.
Max ERC Funding
1 499 045 €
Duration
Start date: 2012-11-01, End date: 2017-10-31
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 DROPFAT
Project Biogenesis of lipid droplets and lipid homeostasis
Researcher (PI) Pedro Nuno Chaves Simoes De Carvalho
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), LS3, ERC-2012-StG_20111109
Summary Organisms and cells face a myriad of environmental changes with periods of nutrient surplus and shortage. It is therefore not surprising that in all kingdoms of life, cells have evolved the means to store energy and thereby minimize the effects of environmental fluctuations. While the capability for energy storage has obvious advantages, deregulated energy accumulation can also be detrimental and is the hallmark of many diseases such as obesity.
In most cells energy is stored as neutral lipids in a dedicated cellular compartment, the lipid droplets (LDs). LDs are found in virtually every eukaryotic cell and play a central role in cellular lipid and energy metabolism. Despite their ubiquitous presence and importance, the physiology of LDs is poorly understood. LDs are composed of a single lipid layer and therefore distinct from all other cellular compartments. How do LDs originate at the endoplasmic reticulum (ER) and what is the machinery involved? How is the size, number and the storage capacity of the LDs regulated? How are specific proteins and lipids targeted to LDs? Addressing these questions is fundamental for understanding the “life cycle” of LDs and for a global picture of the cellular energy homeostasis.
The main goal of this proposal is to reveal the molecular mechanisms controlling neutral lipid dynamics and their storage in LDs. We will focus specifically on the role of the endoplasmic reticulum in the biogenesis of LDs. First, we will identify the ER protein complexes required for LD formation and regulation. Second, we will develop an assay to dissect the targeting of proteins to LDs. Finally, we will develop a cell-free system that recapitulates the biogenesis of LDs in vitro. Altogether, our strategy constitutes a systematic, in-depth analysis of LD dynamics and will lead to significant insight on the mechanisms of cellular energy storage. Our findings will likely offer a better understanding of human pathologies such as obesity and lipodistrophies
Summary
Organisms and cells face a myriad of environmental changes with periods of nutrient surplus and shortage. It is therefore not surprising that in all kingdoms of life, cells have evolved the means to store energy and thereby minimize the effects of environmental fluctuations. While the capability for energy storage has obvious advantages, deregulated energy accumulation can also be detrimental and is the hallmark of many diseases such as obesity.
In most cells energy is stored as neutral lipids in a dedicated cellular compartment, the lipid droplets (LDs). LDs are found in virtually every eukaryotic cell and play a central role in cellular lipid and energy metabolism. Despite their ubiquitous presence and importance, the physiology of LDs is poorly understood. LDs are composed of a single lipid layer and therefore distinct from all other cellular compartments. How do LDs originate at the endoplasmic reticulum (ER) and what is the machinery involved? How is the size, number and the storage capacity of the LDs regulated? How are specific proteins and lipids targeted to LDs? Addressing these questions is fundamental for understanding the “life cycle” of LDs and for a global picture of the cellular energy homeostasis.
The main goal of this proposal is to reveal the molecular mechanisms controlling neutral lipid dynamics and their storage in LDs. We will focus specifically on the role of the endoplasmic reticulum in the biogenesis of LDs. First, we will identify the ER protein complexes required for LD formation and regulation. Second, we will develop an assay to dissect the targeting of proteins to LDs. Finally, we will develop a cell-free system that recapitulates the biogenesis of LDs in vitro. Altogether, our strategy constitutes a systematic, in-depth analysis of LD dynamics and will lead to significant insight on the mechanisms of cellular energy storage. Our findings will likely offer a better understanding of human pathologies such as obesity and lipodistrophies
Max ERC Funding
1 475 282 €
Duration
Start date: 2013-02-01, End date: 2018-01-31
Project acronym DualitiesHEPTH
Project Dualities in Super-symmetric Gauge Theories, String Theory and Conformal Field Theories
Researcher (PI) Luis Fernando Alday
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), PE2, ERC-2012-StG_20111012
Summary The aim of the present proposal is to establish a research team developing and exploiting dualities arising in super-symmetric gauge theories, string theory and conformal field theories. These will also have many applications outside these fields. The overarching aims of the team will be: To develop established dualities into computational tools for physical quantities such as the S-matrix, correlation functions and partition functions. The construction of explicit examples of new dualities. To use such dualities to gain new insights into the mathematical structure of the theories involved.
The proposal brings together researchers with different areas of expertise: super-symmetric gauge theories, string theories, conformal field theories, integrable systems and special functions. We divide it into two strands:
Strand I. Deals with the AdS/CFT correspondence, scattering amplitudes and correlation functions. The main objectives are to compute scattering amplitudes of planar maximally-super symmetric Yang-Mills to all values of the coupling; extend these computations to the non-planar case; compute efficiently correlation functions in this theory.
Strand II. Deals with new and exciting correspondences between four dimensional super-symmetric theories and two dimensional conformal field theories. We aim to find more examples of 4d/2d correspondences and to develop the established ones (and new ones) into efficient computational tools which will be used, for instance, to compute correlation functions in 2d Conformal Toda theories and other CFT's and even physical quantities in theories that do not admit a Lagrangian description. Progress in the first part of this strand will be used to understand the elusive 6d (2,0) theory. Furthermore, we will actively look for common mathematical structures between strands I and II.
Summary
The aim of the present proposal is to establish a research team developing and exploiting dualities arising in super-symmetric gauge theories, string theory and conformal field theories. These will also have many applications outside these fields. The overarching aims of the team will be: To develop established dualities into computational tools for physical quantities such as the S-matrix, correlation functions and partition functions. The construction of explicit examples of new dualities. To use such dualities to gain new insights into the mathematical structure of the theories involved.
The proposal brings together researchers with different areas of expertise: super-symmetric gauge theories, string theories, conformal field theories, integrable systems and special functions. We divide it into two strands:
Strand I. Deals with the AdS/CFT correspondence, scattering amplitudes and correlation functions. The main objectives are to compute scattering amplitudes of planar maximally-super symmetric Yang-Mills to all values of the coupling; extend these computations to the non-planar case; compute efficiently correlation functions in this theory.
Strand II. Deals with new and exciting correspondences between four dimensional super-symmetric theories and two dimensional conformal field theories. We aim to find more examples of 4d/2d correspondences and to develop the established ones (and new ones) into efficient computational tools which will be used, for instance, to compute correlation functions in 2d Conformal Toda theories and other CFT's and even physical quantities in theories that do not admit a Lagrangian description. Progress in the first part of this strand will be used to understand the elusive 6d (2,0) theory. Furthermore, we will actively look for common mathematical structures between strands I and II.
Max ERC Funding
1 414 258 €
Duration
Start date: 2012-12-01, End date: 2017-11-30
Project acronym EC
Project Extremal Combinatorics
Researcher (PI) Oleg Pikhurko
Host Institution (HI) THE UNIVERSITY OF WARWICK
Call Details Starting Grant (StG), PE1, ERC-2012-StG_20111012
Summary A typical problem of Extremal Combinatorics is to maximise or minimise a certain parameter given some combinatorial restrictions. This area experienced a remarkable growth in the last few decades, having a wide range of applications that include results in number theory, algebra, geometry, logic, information theory, and theoretical computer science. There are also many practical fields that were greatly influenced by ideas from Extremal Combinatorics such as, for example, analysis of large networks, ranking of web-pages, or shotgun cloning of DNA fragments.
The Principal Investigator (PI for short) will work on a number of extremal problems, with the main directions being the Tur\'an function (maximising the size of a hypergraph without some fixed forbidden subgraphs), the Rademacher-Tur\'an problem (minimising the density of F-subgraphs given the edge density), and Ramsey numbers (quantitative bounds on the maximum size of a monochromatic substructure that exists for every colouring). These are fundamental and general questions that go back at least as far as the 1940s but remain wide open despite decades of active attempts. During attacks on these notoriously difficult problems, mathematicians developed a number of powerful general methods. PI will work on extending and sharpening these techniques as well as on finding ways of applying the recently introduced concepts of (hyper)graph limits and flag algebras to concrete extremal problems. Since these concepts deal with some approximation to the studied problem, one important aspect of the project is to develop methods for obtaining exact results from asymptotic calculations (for example, via the stability approach).
The support by means of a 5-year research grant will enable PI to consolidate his research and build a group in Extremal Combinatorics.
Summary
A typical problem of Extremal Combinatorics is to maximise or minimise a certain parameter given some combinatorial restrictions. This area experienced a remarkable growth in the last few decades, having a wide range of applications that include results in number theory, algebra, geometry, logic, information theory, and theoretical computer science. There are also many practical fields that were greatly influenced by ideas from Extremal Combinatorics such as, for example, analysis of large networks, ranking of web-pages, or shotgun cloning of DNA fragments.
The Principal Investigator (PI for short) will work on a number of extremal problems, with the main directions being the Tur\'an function (maximising the size of a hypergraph without some fixed forbidden subgraphs), the Rademacher-Tur\'an problem (minimising the density of F-subgraphs given the edge density), and Ramsey numbers (quantitative bounds on the maximum size of a monochromatic substructure that exists for every colouring). These are fundamental and general questions that go back at least as far as the 1940s but remain wide open despite decades of active attempts. During attacks on these notoriously difficult problems, mathematicians developed a number of powerful general methods. PI will work on extending and sharpening these techniques as well as on finding ways of applying the recently introduced concepts of (hyper)graph limits and flag algebras to concrete extremal problems. Since these concepts deal with some approximation to the studied problem, one important aspect of the project is to develop methods for obtaining exact results from asymptotic calculations (for example, via the stability approach).
The support by means of a 5-year research grant will enable PI to consolidate his research and build a group in Extremal Combinatorics.
Max ERC Funding
1 129 919 €
Duration
Start date: 2012-10-01, End date: 2018-07-31
Project acronym eEDM
Project A laser-cooled molecular fountain to measure the electron EDM
Researcher (PI) Edward Allen Hinds
Host Institution (HI) IMPERIAL COLLEGE OF SCIENCE TECHNOLOGY AND MEDICINE
Call Details Advanced Grant (AdG), PE2, ERC-2012-ADG_20120216
Summary I propose to build an instrument that cools YbF molecules to microK temperature using laser light, and throws them up as a fountain in free fall. This will be used to detect CP-violating elementary particle interactions that caused our universe to evolve an excess of matter over antimatter These interactions cause the charge distribution of the electron to be slightly non-spherical and it is this property, the permanent electric dipole moment (EDM), that the ultracold molecules will sense.
Laser cooling of any molecule is very new, with first results emerging from a few laboratories including mine. Developing a fountain of molecules will be a major advance in the state of the art. As well as being the key to the new EDM instrument, this will be important in its own right because ultracold molecules have major applications in chemistry, quantum information processing and metrology.
In the fountain, the electron spin of each molecule will be polarized. On applying a perpendicular electric field, the spins will precess in proportion to the EDM. At present the (warm) YbF molecules in my lab precess for only 1ms. This gives us world-leading sensitivity, but has not been sufficient to detect the CP-violating forces being sought. The fountain however will achieve precession times of almost a second, giving over 1000x more rotation. The increase in sensitivity should reveal a clear EDM, providing information about the fundamental laws of physics, and the important CP-violating physics of the early universe, which is currently not understood.
By advancing the preparation of ultracold molecules, this project will address a key question in particle physics and cosmology: the nature of CP-violating physics beyond the standard model. The approach is radically different from standard accelerator physics and complements it. The sensitivity is sufficient to detect some proposed new forces that are beyond the reach of any current collider experiment.
Summary
I propose to build an instrument that cools YbF molecules to microK temperature using laser light, and throws them up as a fountain in free fall. This will be used to detect CP-violating elementary particle interactions that caused our universe to evolve an excess of matter over antimatter These interactions cause the charge distribution of the electron to be slightly non-spherical and it is this property, the permanent electric dipole moment (EDM), that the ultracold molecules will sense.
Laser cooling of any molecule is very new, with first results emerging from a few laboratories including mine. Developing a fountain of molecules will be a major advance in the state of the art. As well as being the key to the new EDM instrument, this will be important in its own right because ultracold molecules have major applications in chemistry, quantum information processing and metrology.
In the fountain, the electron spin of each molecule will be polarized. On applying a perpendicular electric field, the spins will precess in proportion to the EDM. At present the (warm) YbF molecules in my lab precess for only 1ms. This gives us world-leading sensitivity, but has not been sufficient to detect the CP-violating forces being sought. The fountain however will achieve precession times of almost a second, giving over 1000x more rotation. The increase in sensitivity should reveal a clear EDM, providing information about the fundamental laws of physics, and the important CP-violating physics of the early universe, which is currently not understood.
By advancing the preparation of ultracold molecules, this project will address a key question in particle physics and cosmology: the nature of CP-violating physics beyond the standard model. The approach is radically different from standard accelerator physics and complements it. The sensitivity is sufficient to detect some proposed new forces that are beyond the reach of any current collider experiment.
Max ERC Funding
2 409 629 €
Duration
Start date: 2013-02-01, End date: 2018-01-31
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 EVALUATE
Project Energy Vulnerability and Urban Transitions in Europe
Researcher (PI) Stefan Bouzarovski
Host Institution (HI) THE UNIVERSITY OF MANCHESTER
Call Details Starting Grant (StG), SH3, ERC-2012-StG_20111124
Summary "Millions of urban households in the post-socialist states of Eastern and Central Europe (ECE) are unable to afford heating their homes in winter due to energy price increases implementd by their governments over the past 20 years, as well as combination of wider circumstances such as cold climates, higher-than-average rates of inefficient housing, inadequately developed and/or decaying infrastructure, large income differentials and economic/political restructuring issues. The limited body of scholarship and policy tends to conceptualize domestic energy deprivation in ECE through the narrow lens of incomes and energy efficiency.
The purpose of this project is to radically transform the state of the art in the field by undertaking the first comprehensive investigation of the multiple social and spatial dimensions of energy poverty in the grain of the post-socialist city. The project will use an energy vulnerability framework to explore the causes, character and consequences of domestic energy deprivation in ECE. Energy vulnerability can be seen as the propensity of a household to experience a lack of socially- and materially-necessitated energy services in the home. EvalUaTE will investigate the manner in which institutional structures, built tissues and everyday practices shape urban energy vulnerability.
Using a combination of qualitative and quantitative methods, the project will achieve its aims by undertaking a comparative study of eight urban districts within Gdańsk (Poland), Prague (Czech Republic), Budapest (Hungary) and Skopje (FYR Macedonia). The knowledge gained from the project can potentially lead to the improvement of existing, or establishment of new, technical and institutional frameworks for the provision of affordable, clean and efficient energy services in transitioning urban areas, ultimately aiding climate change mitigation."
Summary
"Millions of urban households in the post-socialist states of Eastern and Central Europe (ECE) are unable to afford heating their homes in winter due to energy price increases implementd by their governments over the past 20 years, as well as combination of wider circumstances such as cold climates, higher-than-average rates of inefficient housing, inadequately developed and/or decaying infrastructure, large income differentials and economic/political restructuring issues. The limited body of scholarship and policy tends to conceptualize domestic energy deprivation in ECE through the narrow lens of incomes and energy efficiency.
The purpose of this project is to radically transform the state of the art in the field by undertaking the first comprehensive investigation of the multiple social and spatial dimensions of energy poverty in the grain of the post-socialist city. The project will use an energy vulnerability framework to explore the causes, character and consequences of domestic energy deprivation in ECE. Energy vulnerability can be seen as the propensity of a household to experience a lack of socially- and materially-necessitated energy services in the home. EvalUaTE will investigate the manner in which institutional structures, built tissues and everyday practices shape urban energy vulnerability.
Using a combination of qualitative and quantitative methods, the project will achieve its aims by undertaking a comparative study of eight urban districts within Gdańsk (Poland), Prague (Czech Republic), Budapest (Hungary) and Skopje (FYR Macedonia). The knowledge gained from the project can potentially lead to the improvement of existing, or establishment of new, technical and institutional frameworks for the provision of affordable, clean and efficient energy services in transitioning urban areas, ultimately aiding climate change mitigation."
Max ERC Funding
1 426 677 €
Duration
Start date: 2013-03-01, End date: 2018-02-28
Project acronym EVOCELFATE
Project Evolution of cell fate specification modes in spiral cleavage
Researcher (PI) Jose Maria MARTIN DURAN
Host Institution (HI) QUEEN MARY UNIVERSITY OF LONDON
Call Details Starting Grant (StG), LS3, ERC-2018-STG
Summary Spiral cleavage is a highly stereotypical early embryonic program, and the ancestral, defining feature to Spiralia, a major phylogenetic clade including almost half of the animal phyla. Remarkably, spiral-cleaving embryos specify homologous cell fates (e.g. the progenitor cell of posterodorsal structures) conditionally –via cell interactions– or autonomously –via segregation of maternal inputs. This variation occurs naturally, even between closely related species, and has been related to the precocious formation of adult characters (adultation) in larvae of autonomous spiral-cleaving species. How spiralian lineages repeatedly shifted between these two cell fate specification modes is largely unexplored, because the mechanisms controlling spiral cleavage are still poorly characterized.
This project tests the hypothesis that maternal chromatin and transcriptional regulators differentially incorporated in oocytes with autonomous spiral cleavage explain the evolution of this mode of cell fate specification. Through a comparative and phylogenetic-guided approach, we will combine bioinformatics, live imaging, and molecular and experimental techniques to: (i) Comprehensively identify differentially supplied maternal factors among spiral cleaving oocytes with distinct cell fate specification modes using comparative RNA-seq and proteomics; (ii) Uncover the developmental mechanisms driving conditional spiral cleavage, which is the ancestral embryonic mode; and (iii) Investigate how maternal chromatin and transcriptional regulators define early cell fates, and whether these factors account for the repeated evolution of autonomous specification modes.
Our results will fill a large gap of knowledge in our understanding of spiral cleavage and its evolution. In a broader context, this project will deliver fundamental insights into two core questions in evolutionary developmental biology: how early embryonic programs evolve, and how they contribute to phenotypic change.
Summary
Spiral cleavage is a highly stereotypical early embryonic program, and the ancestral, defining feature to Spiralia, a major phylogenetic clade including almost half of the animal phyla. Remarkably, spiral-cleaving embryos specify homologous cell fates (e.g. the progenitor cell of posterodorsal structures) conditionally –via cell interactions– or autonomously –via segregation of maternal inputs. This variation occurs naturally, even between closely related species, and has been related to the precocious formation of adult characters (adultation) in larvae of autonomous spiral-cleaving species. How spiralian lineages repeatedly shifted between these two cell fate specification modes is largely unexplored, because the mechanisms controlling spiral cleavage are still poorly characterized.
This project tests the hypothesis that maternal chromatin and transcriptional regulators differentially incorporated in oocytes with autonomous spiral cleavage explain the evolution of this mode of cell fate specification. Through a comparative and phylogenetic-guided approach, we will combine bioinformatics, live imaging, and molecular and experimental techniques to: (i) Comprehensively identify differentially supplied maternal factors among spiral cleaving oocytes with distinct cell fate specification modes using comparative RNA-seq and proteomics; (ii) Uncover the developmental mechanisms driving conditional spiral cleavage, which is the ancestral embryonic mode; and (iii) Investigate how maternal chromatin and transcriptional regulators define early cell fates, and whether these factors account for the repeated evolution of autonomous specification modes.
Our results will fill a large gap of knowledge in our understanding of spiral cleavage and its evolution. In a broader context, this project will deliver fundamental insights into two core questions in evolutionary developmental biology: how early embryonic programs evolve, and how they contribute to phenotypic change.
Max ERC Funding
1 500 000 €
Duration
Start date: 2019-02-01, End date: 2024-01-31
Project acronym FAMHEALTH
Project "Family life courses, intergenerational exchanges and later life health"
Researcher (PI) Emily Marjatta Dorothea Grundy
Host Institution (HI) LONDON SCHOOL OF ECONOMICS AND POLITICAL SCIENCE
Call Details Advanced Grant (AdG), SH3, ERC-2012-ADG_20120411
Summary "The overall aim of this research programme is to uncover how family life courses influence health and well-being in later adulthood, whether family related strengths or disadvantages relevant to health offset or compound socio-economic sources of disadvantage, and the extent to which these associations are influenced by societal factors. An important element will be to consider the role of intergenerational influences, including support flows. The geographical focus will be on Europe and the methodological focus on the advanced quantitative analysis of large scale longitudinal data sets. These data sets, chosen for their complementary strengths, will include both country specific and cross national sources. Three major interlinked strands of work will be undertaken. These will focus on 1) Impacts of parenting and partnership histories on health and mortality in mid and later life. 2) Intergenerational support exchanges: demographic, cultural and policy influences and effects on health of both providers and receivers. 3) An over arching theme to be addressed in the above strands and consolidated in the third is how investments in family and social networks are related to socio-economic disparities in later life health and mortality. The programme is will bring together perspectives from a range of disciplines to address issues of great relevance to current policy challenges in Europe. It is challenging because of the problem of dealing with issues of health selection and possible bias arising from various kinds of missing data which will require methodological care and innovation. Results will contribute to the development of theory, the development of methods and provide substantive knowledge relevant to the health and well-being of older Europeans."
Summary
"The overall aim of this research programme is to uncover how family life courses influence health and well-being in later adulthood, whether family related strengths or disadvantages relevant to health offset or compound socio-economic sources of disadvantage, and the extent to which these associations are influenced by societal factors. An important element will be to consider the role of intergenerational influences, including support flows. The geographical focus will be on Europe and the methodological focus on the advanced quantitative analysis of large scale longitudinal data sets. These data sets, chosen for their complementary strengths, will include both country specific and cross national sources. Three major interlinked strands of work will be undertaken. These will focus on 1) Impacts of parenting and partnership histories on health and mortality in mid and later life. 2) Intergenerational support exchanges: demographic, cultural and policy influences and effects on health of both providers and receivers. 3) An over arching theme to be addressed in the above strands and consolidated in the third is how investments in family and social networks are related to socio-economic disparities in later life health and mortality. The programme is will bring together perspectives from a range of disciplines to address issues of great relevance to current policy challenges in Europe. It is challenging because of the problem of dealing with issues of health selection and possible bias arising from various kinds of missing data which will require methodological care and innovation. Results will contribute to the development of theory, the development of methods and provide substantive knowledge relevant to the health and well-being of older Europeans."
Max ERC Funding
1 423 110 €
Duration
Start date: 2013-07-01, End date: 2018-06-30
Project acronym FANTAST
Project Frontiers of Analytic Number Theory And Selected Topics
Researcher (PI) Timothy Daniel Browning
Host Institution (HI) UNIVERSITY OF BRISTOL
Call Details Starting Grant (StG), PE1, ERC-2012-StG_20111012
Summary "This proposal sits at the interface of analytic number theory and selected topics, viewed through the prism of Diophantine equations defining higher-dimensional algebraic varieties. A core part of the proposal involves using analytic methods (such as complex analysis, Fourier analysis and additive combinatorics) to tackle a range of problems about Diophantine equations. These include such
basic questions as precisely when families of equations admit integer or rational solutions and, furthermore, how ``dense'' these solutions are when they exist. In the reverse direction, a significant component of the proposal is dedicated to established problems in number theory (such as stable cohomology of moduli spaces and uniform spectral gaps for arithmetic lattices) which can be tackled via the successful analysis of intermediary Diophantine equations."
Summary
"This proposal sits at the interface of analytic number theory and selected topics, viewed through the prism of Diophantine equations defining higher-dimensional algebraic varieties. A core part of the proposal involves using analytic methods (such as complex analysis, Fourier analysis and additive combinatorics) to tackle a range of problems about Diophantine equations. These include such
basic questions as precisely when families of equations admit integer or rational solutions and, furthermore, how ``dense'' these solutions are when they exist. In the reverse direction, a significant component of the proposal is dedicated to established problems in number theory (such as stable cohomology of moduli spaces and uniform spectral gaps for arithmetic lattices) which can be tackled via the successful analysis of intermediary Diophantine equations."
Max ERC Funding
801 187 €
Duration
Start date: 2012-12-01, End date: 2017-11-30
Project acronym Gauge-string duality
Project GAUGE-STRING DUALITY AND NON-EQUILIBRIUM PHYSICS
Researcher (PI) Andrei Starinets
Host Institution (HI) THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Call Details Starting Grant (StG), PE2, ERC-2012-StG_20111012
Summary The proposal is to study non-equilibrium states of strongly correlated quantum systems relevant for heavy ion and condensed matter physics by using existing and developing new methods of gauge-string duality (also know as holography or AdS/CFT correspondence). The gauge-string duality is a set of non-perturbative tools developed within string theory over the last fourteen years. These methods can be used independently of the final status of the string theory itself. Strongly coupled model systems at finite temperature and density are of great interest for they appear in many areas of physics including physics of heavy ion collisions and physics of trapped cold atoms. Gauge-string duality methods already proved very useful in supplying information about transport properties such as viscosity and spectral functions of thermal quantum field theories at strong coupling.
Specific goals of the proposal are divided into two sets, one including open problems in non-equilibrium systems accessible for study by the existing gauge/string duality techniques, and another involving more challenging problems requiring new holographic approaches. Problems of the first set include generalizing existing models of thermalization and isotropization, constructing simple model(s) describing the initial state of the quark-gluon plasma, exploring gravity backgrounds obtained by self-consistent top-down approach, studying theories with dual gravity backgrounds including full back-reaction. Problems of the second set involve holographic approach to turbulence and plasma instabilities, building holographic formalism for highly nonequilibrium processes and studying possible connection between holography and emergent gravity.
Summary
The proposal is to study non-equilibrium states of strongly correlated quantum systems relevant for heavy ion and condensed matter physics by using existing and developing new methods of gauge-string duality (also know as holography or AdS/CFT correspondence). The gauge-string duality is a set of non-perturbative tools developed within string theory over the last fourteen years. These methods can be used independently of the final status of the string theory itself. Strongly coupled model systems at finite temperature and density are of great interest for they appear in many areas of physics including physics of heavy ion collisions and physics of trapped cold atoms. Gauge-string duality methods already proved very useful in supplying information about transport properties such as viscosity and spectral functions of thermal quantum field theories at strong coupling.
Specific goals of the proposal are divided into two sets, one including open problems in non-equilibrium systems accessible for study by the existing gauge/string duality techniques, and another involving more challenging problems requiring new holographic approaches. Problems of the first set include generalizing existing models of thermalization and isotropization, constructing simple model(s) describing the initial state of the quark-gluon plasma, exploring gravity backgrounds obtained by self-consistent top-down approach, studying theories with dual gravity backgrounds including full back-reaction. Problems of the second set involve holographic approach to turbulence and plasma instabilities, building holographic formalism for highly nonequilibrium processes and studying possible connection between holography and emergent gravity.
Max ERC Funding
1 461 074 €
Duration
Start date: 2012-10-01, End date: 2017-09-30