Project acronym AQUAMS
Project Analysis of quantum many-body systems
Researcher (PI) Robert Seiringer
Host Institution (HI) INSTITUTE OF SCIENCE AND TECHNOLOGYAUSTRIA
Call Details Advanced Grant (AdG), PE1, ERC-2015-AdG
Summary The main focus of this project is the mathematical analysis of many-body quantum systems, in particular, interacting quantum gases at low temperature. The recent experimental advances in studying ultra-cold atomic gases have led to renewed interest in these systems. They display a rich variety of quantum phenomena, including, e.g., Bose–Einstein condensation and superfluidity, which makes them interesting both from a physical and a mathematical point of view.
The goal of this project is the development of new mathematical tools for dealing with complex problems in many-body quantum systems. New mathematical methods lead to different points of view and thus increase our understanding of physical systems. From the point of view of mathematical physics, there has been significant progress in the last few years in understanding the interesting phenomena occurring in quantum gases, and the goal of this project is to investigate some of the key issues that remain unsolved. Due to the complex nature of the problems, new mathematical ideas
and methods will have to be developed for this purpose. One of the main question addressed in this proposal is the validity of the Bogoliubov approximation for the excitation spectrum of many-body quantum systems. While its accuracy has been
successfully shown for the ground state energy of various models, its predictions concerning the excitation spectrum have so far only been verified in the Hartree limit, an extreme form of a mean-field limit where the interaction among the particles is very weak and ranges over the whole system. The central part of this project is concerned with the extension of these results to the case of short-range interactions. Apart from being mathematically much more challenging, the short-range case is the
one most relevant for the description of actual physical systems. Hence progress along these lines can be expected to yield valuable insight into the complex behavior of these many-body quantum systems.
Summary
The main focus of this project is the mathematical analysis of many-body quantum systems, in particular, interacting quantum gases at low temperature. The recent experimental advances in studying ultra-cold atomic gases have led to renewed interest in these systems. They display a rich variety of quantum phenomena, including, e.g., Bose–Einstein condensation and superfluidity, which makes them interesting both from a physical and a mathematical point of view.
The goal of this project is the development of new mathematical tools for dealing with complex problems in many-body quantum systems. New mathematical methods lead to different points of view and thus increase our understanding of physical systems. From the point of view of mathematical physics, there has been significant progress in the last few years in understanding the interesting phenomena occurring in quantum gases, and the goal of this project is to investigate some of the key issues that remain unsolved. Due to the complex nature of the problems, new mathematical ideas
and methods will have to be developed for this purpose. One of the main question addressed in this proposal is the validity of the Bogoliubov approximation for the excitation spectrum of many-body quantum systems. While its accuracy has been
successfully shown for the ground state energy of various models, its predictions concerning the excitation spectrum have so far only been verified in the Hartree limit, an extreme form of a mean-field limit where the interaction among the particles is very weak and ranges over the whole system. The central part of this project is concerned with the extension of these results to the case of short-range interactions. Apart from being mathematically much more challenging, the short-range case is the
one most relevant for the description of actual physical systems. Hence progress along these lines can be expected to yield valuable insight into the complex behavior of these many-body quantum systems.
Max ERC Funding
1 497 755 €
Duration
Start date: 2016-10-01, End date: 2021-09-30
Project acronym ARIPHYHIMO
Project Arithmetic and physics of Higgs moduli spaces
Researcher (PI) Tamas Hausel
Host Institution (HI) INSTITUTE OF SCIENCE AND TECHNOLOGYAUSTRIA
Call Details Advanced Grant (AdG), PE1, ERC-2012-ADG_20120216
Summary The proposal studies problems concerning the geometry and topology of moduli spaces of Higgs bundles on a Riemann surface motivated by parallel considerations in number theory and mathematical physics. In this way the proposal bridges various duality theories in string theory with the Langlands program in number theory.
The heart of the proposal is a circle of precise conjectures relating to the topology of the moduli space of Higgs bundles. The formulation and motivations of the conjectures make direct contact with the Langlands program in number theory, various duality conjectures in string theory, algebraic combinatorics, knot theory and low dimensional topology and representation theory of quivers, finite groups and algebras of Lie type and Cherednik algebras.
Summary
The proposal studies problems concerning the geometry and topology of moduli spaces of Higgs bundles on a Riemann surface motivated by parallel considerations in number theory and mathematical physics. In this way the proposal bridges various duality theories in string theory with the Langlands program in number theory.
The heart of the proposal is a circle of precise conjectures relating to the topology of the moduli space of Higgs bundles. The formulation and motivations of the conjectures make direct contact with the Langlands program in number theory, various duality conjectures in string theory, algebraic combinatorics, knot theory and low dimensional topology and representation theory of quivers, finite groups and algebras of Lie type and Cherednik algebras.
Max ERC Funding
1 304 945 €
Duration
Start date: 2013-04-01, End date: 2018-08-31
Project acronym CDK6-DrugOpp
Project CDK6 in transcription - turning a foe in a friend
Researcher (PI) Veronika SEXL
Host Institution (HI) VETERINAERMEDIZINISCHE UNIVERSITAET WIEN
Call Details Advanced Grant (AdG), LS7, ERC-2015-AdG
Summary "Translational research aims at applying mechanistic understanding in the development of "precision medicine", which depends on precise diagnostic tools and therapeutic approaches. Cancer therapy is experiencing a switch from non-specific, cytotoxic agents towards molecularly targeted and rationally designed compounds with the promise of greater efficacy and fewer side effects.
The two cell-cycle kinases CDK4 and CDK6 normally facilitate cell-cycle progression but are abnormally activated in certain cancers. CDK6 is up-regulated in hematopoietic malignancies, where it is the predominant cell-cycle kinase. The importance of CDK4/6 for tumor development is underscored by the fact that the US FDA selected inhibitors of the kinase activity of CDK4/6 as "breakthrough of the year 2013". Our recent findings suggest that the effects of the inhibitors may be limited as CDK6 is not only involved in cell-cycle progression: ground-breaking research in my group and others has shown that CDK6 is involved in regulation of transcription in a kinase-independent manner thereby driving the proliferation of leukemic stem cells and tumor formation. We have now identified mutations in CDK6 that convert it from a tumor promoter into a tumor suppressor. This unexpected outcome is accompanied by a distinct transcriptional profile. Separating the tumor-promoting from the tumor suppressive functions may open a novel therapeutic avenue for drug development. We aim at understanding which domains and residues of CDK6 are involved in rewiring the transcriptional landscape to pave the way for sophisticated inhibitors. The idea of turning a cancer cell's own most potent weapon against itself is novel and would represent a new paradigm for drug design. Finally, the understanding of CDK6 functions in tumor promotion and maintenance will also result in better patient stratification and improved treatment decisions for a broad spectrum of cancer types."
Summary
"Translational research aims at applying mechanistic understanding in the development of "precision medicine", which depends on precise diagnostic tools and therapeutic approaches. Cancer therapy is experiencing a switch from non-specific, cytotoxic agents towards molecularly targeted and rationally designed compounds with the promise of greater efficacy and fewer side effects.
The two cell-cycle kinases CDK4 and CDK6 normally facilitate cell-cycle progression but are abnormally activated in certain cancers. CDK6 is up-regulated in hematopoietic malignancies, where it is the predominant cell-cycle kinase. The importance of CDK4/6 for tumor development is underscored by the fact that the US FDA selected inhibitors of the kinase activity of CDK4/6 as "breakthrough of the year 2013". Our recent findings suggest that the effects of the inhibitors may be limited as CDK6 is not only involved in cell-cycle progression: ground-breaking research in my group and others has shown that CDK6 is involved in regulation of transcription in a kinase-independent manner thereby driving the proliferation of leukemic stem cells and tumor formation. We have now identified mutations in CDK6 that convert it from a tumor promoter into a tumor suppressor. This unexpected outcome is accompanied by a distinct transcriptional profile. Separating the tumor-promoting from the tumor suppressive functions may open a novel therapeutic avenue for drug development. We aim at understanding which domains and residues of CDK6 are involved in rewiring the transcriptional landscape to pave the way for sophisticated inhibitors. The idea of turning a cancer cell's own most potent weapon against itself is novel and would represent a new paradigm for drug design. Finally, the understanding of CDK6 functions in tumor promotion and maintenance will also result in better patient stratification and improved treatment decisions for a broad spectrum of cancer types."
Max ERC Funding
2 497 520 €
Duration
Start date: 2016-09-01, End date: 2021-08-31
Project acronym DISCONV
Project DISCRETE AND CONVEX GEOMETRY: CHALLENGES, METHODS, APPLICATIONS
Researcher (PI) Imre Barany
Host Institution (HI) MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Call Details Advanced Grant (AdG), PE1, ERC-2010-AdG_20100224
Summary Title: Discrete and convex geometry: challenges, methods, applications
Abstract: Research in discrete and convex geometry, using tools from combinatorics, algebraic
topology, probability theory, number theory, and algebra, with applications in theoretical
computer science, integer programming, and operations research. Algorithmic aspects are
emphasized and often serve as motivation or simply dictate the questions. The proposed
problems can be grouped into three main areas: (1) Geometric transversal, selection, and
incidence problems, including algorithmic complexity of Tverberg's theorem, weak
epsilon-nets, the k-set problem, and algebraic approaches to the Erdos unit distance problem.
(2) Topological methods and questions, in particular topological Tverberg-type theorems,
algorithmic complexity of the existence of equivariant maps, mass partition problems, and the
generalized HeX lemma for the k-coloured d-dimensional grid. (3) Lattice polytopes and random
polytopes, including Arnold's question on the number of convex lattice polytopes, limit
shapes of lattice polytopes in dimension 3 and higher, comparison of random polytopes and
lattice polytopes, the integer convex hull and its randomized version.
Summary
Title: Discrete and convex geometry: challenges, methods, applications
Abstract: Research in discrete and convex geometry, using tools from combinatorics, algebraic
topology, probability theory, number theory, and algebra, with applications in theoretical
computer science, integer programming, and operations research. Algorithmic aspects are
emphasized and often serve as motivation or simply dictate the questions. The proposed
problems can be grouped into three main areas: (1) Geometric transversal, selection, and
incidence problems, including algorithmic complexity of Tverberg's theorem, weak
epsilon-nets, the k-set problem, and algebraic approaches to the Erdos unit distance problem.
(2) Topological methods and questions, in particular topological Tverberg-type theorems,
algorithmic complexity of the existence of equivariant maps, mass partition problems, and the
generalized HeX lemma for the k-coloured d-dimensional grid. (3) Lattice polytopes and random
polytopes, including Arnold's question on the number of convex lattice polytopes, limit
shapes of lattice polytopes in dimension 3 and higher, comparison of random polytopes and
lattice polytopes, the integer convex hull and its randomized version.
Max ERC Funding
1 298 012 €
Duration
Start date: 2011-04-01, End date: 2017-03-31
Project acronym DISCRETECONT
Project From discrete to contimuous: understanding discrete structures through continuous approximation
Researcher (PI) László Lovász
Host Institution (HI) EOTVOS LORAND TUDOMANYEGYETEM
Call Details Advanced Grant (AdG), PE1, ERC-2008-AdG
Summary Important methods and results in discrete mathematics arise from the interaction between discrete mathematics and ``continuous'' areas like analysis or geometry. Classical examples of this include topological methods, linear and semidefinite optimization generating functions and more. More recent areas stressing this connection are the theory of limit objects of growing sequences of finite structures (graphs, hypergraphs, sequences), differential equations on networks, geometric representations of graphs. Perhaps most promising is the study of limits of growing graph and hypergraph sequences. In resent work by the Proposer and his collaborators, this area has found highly nontrivial connections with extremal graph theory, the theory of property testing in computer science, to additive number theory, the theory of random graphs, and measure theory as well as geometric representations of graphs. This proposal's goal is to explore these interactions, with the participation of a number of researchers from different areas of mathematics.
Summary
Important methods and results in discrete mathematics arise from the interaction between discrete mathematics and ``continuous'' areas like analysis or geometry. Classical examples of this include topological methods, linear and semidefinite optimization generating functions and more. More recent areas stressing this connection are the theory of limit objects of growing sequences of finite structures (graphs, hypergraphs, sequences), differential equations on networks, geometric representations of graphs. Perhaps most promising is the study of limits of growing graph and hypergraph sequences. In resent work by the Proposer and his collaborators, this area has found highly nontrivial connections with extremal graph theory, the theory of property testing in computer science, to additive number theory, the theory of random graphs, and measure theory as well as geometric representations of graphs. This proposal's goal is to explore these interactions, with the participation of a number of researchers from different areas of mathematics.
Max ERC Funding
739 671 €
Duration
Start date: 2009-01-01, End date: 2014-06-30
Project acronym EPIC
Project Enabling Precision Immuno-oncology in Colorectal cancer
Researcher (PI) Zlatko TRAJANOSKI
Host Institution (HI) MEDIZINISCHE UNIVERSITAT INNSBRUCK
Call Details Advanced Grant (AdG), LS7, ERC-2017-ADG
Summary Immunotherapy with checkpoints blockers is transforming the treatment of advanced cancers. Colorectal cancer (CRC), a cancer with 1.4 million new cases diagnosed annually worldwide, is refractory to immunotherapy (with the exception of a minority of tumors with microsatellite instability). This is somehow paradoxical as CRC is a cancer for which we have shown that it is under immunological control and that tumor infiltrating lymphocytes represent a strong independent predictor of survival. Thus, there is an urgent need to broaden the clinical benefits of immune checkpoint blockers to CRC by combining agents with synergistic mechanisms of action. An attractive approach to sensitize tumors to immunotherapy is to harness immunogenic effects induced by approved conventional or targeted agents.
Here I propose a new paradigm to identify molecular determinants of resistance to immunotherapy and develop personalized in silico and in vitro models for predicting response to combination therapy in CRC. The EPIC concept is based on three pillars: 1) emphasis on antitumor T cell activity; 2) systematic interrogation of tumor-immune cell interactions using data-driven modeling and knowledge-based mechanistic modeling, and 3) generation of key quantitative data to train and validate algorithms using perturbation experiments with patient-derived tumor organoids and cutting-edge technologies for multidimensional profiling. We will investigate three immunomodulatory processes: 1) immunostimulatory effects of chemotherapeutics, 2) rewiring of signaling networks induced by targeted drugs and their interference with immunity, and 3) metabolic reprogramming of T cells to enhance antitumor immunity.
The anticipated outcome of EPIC is a precision immuno-oncology platform that integrates tumor organoids with high-throughput and high-content data for testing drug combinations, and machine learning for making therapeutic recommendations for individual patients.
Summary
Immunotherapy with checkpoints blockers is transforming the treatment of advanced cancers. Colorectal cancer (CRC), a cancer with 1.4 million new cases diagnosed annually worldwide, is refractory to immunotherapy (with the exception of a minority of tumors with microsatellite instability). This is somehow paradoxical as CRC is a cancer for which we have shown that it is under immunological control and that tumor infiltrating lymphocytes represent a strong independent predictor of survival. Thus, there is an urgent need to broaden the clinical benefits of immune checkpoint blockers to CRC by combining agents with synergistic mechanisms of action. An attractive approach to sensitize tumors to immunotherapy is to harness immunogenic effects induced by approved conventional or targeted agents.
Here I propose a new paradigm to identify molecular determinants of resistance to immunotherapy and develop personalized in silico and in vitro models for predicting response to combination therapy in CRC. The EPIC concept is based on three pillars: 1) emphasis on antitumor T cell activity; 2) systematic interrogation of tumor-immune cell interactions using data-driven modeling and knowledge-based mechanistic modeling, and 3) generation of key quantitative data to train and validate algorithms using perturbation experiments with patient-derived tumor organoids and cutting-edge technologies for multidimensional profiling. We will investigate three immunomodulatory processes: 1) immunostimulatory effects of chemotherapeutics, 2) rewiring of signaling networks induced by targeted drugs and their interference with immunity, and 3) metabolic reprogramming of T cells to enhance antitumor immunity.
The anticipated outcome of EPIC is a precision immuno-oncology platform that integrates tumor organoids with high-throughput and high-content data for testing drug combinations, and machine learning for making therapeutic recommendations for individual patients.
Max ERC Funding
2 460 500 €
Duration
Start date: 2018-10-01, End date: 2023-09-30
Project acronym GEMIS
Project Generalized Homological Mirror Symmetry and Applications
Researcher (PI) Ludmil Katzarkov
Host Institution (HI) UNIVERSITAT WIEN
Call Details Advanced Grant (AdG), PE1, ERC-2008-AdG
Summary Mirror symmetry arose originally in physics, as a duality between $N = 2$ superconformal field theories. Witten formulated a more mathematically accessible version, in terms of topological field theories. Both conformal and topological field theories can be defined axiomatically, but more interestingly, there are several geometric ways of constructing them. A priori, the mirror correspondence is not unique, and it does not necessarily remain within a single class of geometric models. The classical case relates $\sigma$-models, but in a more modern formulation, one has mirror dualities between different Landau-Ginzburg models, as well as between such models and $\sigma$-models; orbifolds should also be included in this. The simplest example would be the function $W: \C \rightarrow \C$, $W(x) = x^{n+1}$, which is self-mirror (up to dividing by the $\bZ/n+1$ symmetry group, in an orbifold sense). While the mathematics of the $\sigma$-model mirror correspondence is familiar by now, generalizations to Landau-Ginzburg theories are only beginning to be understood. Today it is clear that Homologcal Mirror Symmetry (HMS) as a categorical correspondence works and it is time for developing direct geometric applications to classical problems - rationality of algebraic varieties and Hodge conjecture. This the main goal of the proposal. But in order to attack the above problems we need to generalize HMS and explore its connection to new developments in modern Hodge theory. In order to carry the above program we plan to further already working team Vienna, Paris, Moscow, MIT.
Summary
Mirror symmetry arose originally in physics, as a duality between $N = 2$ superconformal field theories. Witten formulated a more mathematically accessible version, in terms of topological field theories. Both conformal and topological field theories can be defined axiomatically, but more interestingly, there are several geometric ways of constructing them. A priori, the mirror correspondence is not unique, and it does not necessarily remain within a single class of geometric models. The classical case relates $\sigma$-models, but in a more modern formulation, one has mirror dualities between different Landau-Ginzburg models, as well as between such models and $\sigma$-models; orbifolds should also be included in this. The simplest example would be the function $W: \C \rightarrow \C$, $W(x) = x^{n+1}$, which is self-mirror (up to dividing by the $\bZ/n+1$ symmetry group, in an orbifold sense). While the mathematics of the $\sigma$-model mirror correspondence is familiar by now, generalizations to Landau-Ginzburg theories are only beginning to be understood. Today it is clear that Homologcal Mirror Symmetry (HMS) as a categorical correspondence works and it is time for developing direct geometric applications to classical problems - rationality of algebraic varieties and Hodge conjecture. This the main goal of the proposal. But in order to attack the above problems we need to generalize HMS and explore its connection to new developments in modern Hodge theory. In order to carry the above program we plan to further already working team Vienna, Paris, Moscow, MIT.
Max ERC Funding
1 060 800 €
Duration
Start date: 2009-01-01, End date: 2013-12-31
Project acronym GROGandGIN
Project Growth in Groups and Graph Isomorphism Now
Researcher (PI) Laszlo Pyber
Host Institution (HI) MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Call Details Advanced Grant (AdG), PE1, ERC-2016-ADG
Summary "In recent years there has been spectacular progress in studying growth in groups. A central result in this new area, obtained by Pyber-Szabo' (with a similar result proved by Breuillard-Green-Tao), shows that powers of generating subsets of finite simple groups of ""bounded dimension"" grow fast. Extending this Product Theorem Szabo' and the PI also proved a weaker version of a conjecture of Helfgott-Lindenstrauss. The Product Theorem has deep consequences in the study of groups, number theory and random walks. A central open question of the area is to remove the dependence on dimension in our Product Theorem. The PI formulated a new Conjecture, as a step forward. The way to further progress is via combining techniques from asymptotic group theory and probability theory. It is from this perspective that the current GROGandGIN proposal addresses issues concerning random walks. We examine how recent probabilistic arguments for random walks in the symmetric group may be transferred to matrix groups. While the first results in the subject of growth concern matrix groups we see an evolving theory of growth in permutation groups. This relies on earlier work of Babai and the PI which aims at finding proofs which do not use the Classification of Finite Simple Groups (CFSG). Similarly, Babai's famous Quasipolynomial Graph Isomorphism Algorithm builds on ideas from CFSG-free proofs due to him. The PI has recently removed CFSG from the analysis of Babai's algorithm. Our method goes ""halfway"" towards removing CFSG from proofs of growth results for permutation groups, currently a major open problem. The GROGandGIN initiative plans to improve various other parts of Babai's paper, working with several people who look at it from different angles, with an eye towards obtaining a Polynomial Graph Isomorphism algorithm. The GROGandGIN team will also study growth in Lie groups since the theory of random walks in Lie groups has been revitalised using analogues of our Product Theorem."
Summary
"In recent years there has been spectacular progress in studying growth in groups. A central result in this new area, obtained by Pyber-Szabo' (with a similar result proved by Breuillard-Green-Tao), shows that powers of generating subsets of finite simple groups of ""bounded dimension"" grow fast. Extending this Product Theorem Szabo' and the PI also proved a weaker version of a conjecture of Helfgott-Lindenstrauss. The Product Theorem has deep consequences in the study of groups, number theory and random walks. A central open question of the area is to remove the dependence on dimension in our Product Theorem. The PI formulated a new Conjecture, as a step forward. The way to further progress is via combining techniques from asymptotic group theory and probability theory. It is from this perspective that the current GROGandGIN proposal addresses issues concerning random walks. We examine how recent probabilistic arguments for random walks in the symmetric group may be transferred to matrix groups. While the first results in the subject of growth concern matrix groups we see an evolving theory of growth in permutation groups. This relies on earlier work of Babai and the PI which aims at finding proofs which do not use the Classification of Finite Simple Groups (CFSG). Similarly, Babai's famous Quasipolynomial Graph Isomorphism Algorithm builds on ideas from CFSG-free proofs due to him. The PI has recently removed CFSG from the analysis of Babai's algorithm. Our method goes ""halfway"" towards removing CFSG from proofs of growth results for permutation groups, currently a major open problem. The GROGandGIN initiative plans to improve various other parts of Babai's paper, working with several people who look at it from different angles, with an eye towards obtaining a Polynomial Graph Isomorphism algorithm. The GROGandGIN team will also study growth in Lie groups since the theory of random walks in Lie groups has been revitalised using analogues of our Product Theorem."
Max ERC Funding
1 965 340 €
Duration
Start date: 2017-08-01, End date: 2022-07-31
Project acronym HOPE
Project Host Protective Engineering of Cancer Immunity by Targeting the Intracellular Immune Checkpoint NR2F6
Researcher (PI) Gottfried BAIER
Host Institution (HI) MEDIZINISCHE UNIVERSITAT INNSBRUCK
Call Details Advanced Grant (AdG), LS7, ERC-2017-ADG
Summary "Because of its biological complexity, cancer is still poorly understood. Chronic inflammation has been shown, both experimentally and epidemiologically, to be a predisposition to, and also an inseparable aspect of clinically prevalent cancer entities. Therefore, a detailed understanding of both tumour and immune cell functions in cancer progression is a prerequisite for more successful therapeutic startegies. My team was the first to reveal the lymphocyte-intrinsic PKC/NR2F6 axis as an essential signalling node at the crossroads between inflammation and cancer. It is the mission of this project to identify molecular signatures that influence the risk of developing tumours employing established research tools and state-of-the-art genetic, biochemical, proteomic and transcriptomic as well as large scale CRISPR/Cas9 perturbation screening-based functional genomic technologies. Defining this as yet poorly elucidated effector pathway with its profoundly relevant role would enable development of preventive and immune-therapeutic strategies against NSCLC lung cancer and potentially also against other entities. Our three-pronged approach to achieve this goal is to: (i) delineate biological and clinical properties of the immunological PKC/NR2F6 network, (ii) validate NR2F6 as an immune-oncology combination target needed to overcome limitations to ""first generation anti-PD-1 checkpoint inhibitors"" rendering T cells capable of rejecting tumours and their metastases at distal organs and (iii) exploit human combinatorial T cell therapy concepts for prevention of immune-related adverse events as well as of tumour recurrence by reducing opportunities for the tumour to develop resistance in the clinic. Insight into the functions of NR2F6 pathway and involved mechanisms is a prerequisite for understanding how the microenvironment at the tumour site either supports tumour growth and spread or prevents tumour initiation and progression, the latter by host-protective cancer immunity."
Summary
"Because of its biological complexity, cancer is still poorly understood. Chronic inflammation has been shown, both experimentally and epidemiologically, to be a predisposition to, and also an inseparable aspect of clinically prevalent cancer entities. Therefore, a detailed understanding of both tumour and immune cell functions in cancer progression is a prerequisite for more successful therapeutic startegies. My team was the first to reveal the lymphocyte-intrinsic PKC/NR2F6 axis as an essential signalling node at the crossroads between inflammation and cancer. It is the mission of this project to identify molecular signatures that influence the risk of developing tumours employing established research tools and state-of-the-art genetic, biochemical, proteomic and transcriptomic as well as large scale CRISPR/Cas9 perturbation screening-based functional genomic technologies. Defining this as yet poorly elucidated effector pathway with its profoundly relevant role would enable development of preventive and immune-therapeutic strategies against NSCLC lung cancer and potentially also against other entities. Our three-pronged approach to achieve this goal is to: (i) delineate biological and clinical properties of the immunological PKC/NR2F6 network, (ii) validate NR2F6 as an immune-oncology combination target needed to overcome limitations to ""first generation anti-PD-1 checkpoint inhibitors"" rendering T cells capable of rejecting tumours and their metastases at distal organs and (iii) exploit human combinatorial T cell therapy concepts for prevention of immune-related adverse events as well as of tumour recurrence by reducing opportunities for the tumour to develop resistance in the clinic. Insight into the functions of NR2F6 pathway and involved mechanisms is a prerequisite for understanding how the microenvironment at the tumour site either supports tumour growth and spread or prevents tumour initiation and progression, the latter by host-protective cancer immunity."
Max ERC Funding
2 484 325 €
Duration
Start date: 2018-10-01, End date: 2023-09-30
Project acronym LTDBud
Project Low Dimensional Topology in Budapest
Researcher (PI) Andras Istvan Stipsicz
Host Institution (HI) MAGYAR TUDOMANYOS AKADEMIA RENYI ALFRED MATEMATIKAI KUTATOINTEZET
Call Details Advanced Grant (AdG), PE1, ERC-2011-ADG_20110209
Summary "Heegaard Floer theory. In this project (in collaboration with P. Ozsváth and Z. Szabó) we plan to extend our earlier results computing various versions of Heegaard Floer homologies purely combinatorially. We also plan to find combinatorial definitions of these invariants (as graded groups). Such results will potentially lead to a combinatorial description of 4-dimensional Heegaard Floer (mixed) invariants, conjecturally equivalent to Seiberg-Witten invariants of smooth 4-manifolds. In particular, we hope to find a combinatorial proof of Donaldson’s diagonalizability theorem, and find relations between the Heegaard Floer and the fundamental groups of a 3-manifold.
Contact topology. Using Heegaard Floer theory and contact surgery, a systematic study of existence of tight contact structures on 3-manifolds is planned. Similar techniques also apply in studying Legendrian and transverse knots in contact 3-manifolds. In particular, the verification of the existence of tight structures on 3-manifolds given by surgery on a knot (with high enough framing) in the 3-sphere is proposed. Using the Legendrian invariant of knots, Legendrian and transverse simplicity can be conveniently studied. The ideas detailed in this part are planned to be carried out partly in collaboration with Paolo Lisca, Vera Vértesi and Hansjörg Geiges.
Exotic 4-manifolds. Extending our previous results, we plan to investigate the existence of exotic smooth structures on 4-manifolds with small Euler characteristics, such as the complex projective plane CP2, its blow-up CP2#CP2-bar, the product of two complex projective lines CP1×CP1 and ultimately the 4-dimensional sphere S4. We plan to investigate the effect of the Gluck transformation. Possible extensions of the rational blow down procedure (successful in producing exotic structures) will be also studied. We plan collaborations with Zoltán Szabó, Daniel Nash and Mohan Bhupal in these questions."
Summary
"Heegaard Floer theory. In this project (in collaboration with P. Ozsváth and Z. Szabó) we plan to extend our earlier results computing various versions of Heegaard Floer homologies purely combinatorially. We also plan to find combinatorial definitions of these invariants (as graded groups). Such results will potentially lead to a combinatorial description of 4-dimensional Heegaard Floer (mixed) invariants, conjecturally equivalent to Seiberg-Witten invariants of smooth 4-manifolds. In particular, we hope to find a combinatorial proof of Donaldson’s diagonalizability theorem, and find relations between the Heegaard Floer and the fundamental groups of a 3-manifold.
Contact topology. Using Heegaard Floer theory and contact surgery, a systematic study of existence of tight contact structures on 3-manifolds is planned. Similar techniques also apply in studying Legendrian and transverse knots in contact 3-manifolds. In particular, the verification of the existence of tight structures on 3-manifolds given by surgery on a knot (with high enough framing) in the 3-sphere is proposed. Using the Legendrian invariant of knots, Legendrian and transverse simplicity can be conveniently studied. The ideas detailed in this part are planned to be carried out partly in collaboration with Paolo Lisca, Vera Vértesi and Hansjörg Geiges.
Exotic 4-manifolds. Extending our previous results, we plan to investigate the existence of exotic smooth structures on 4-manifolds with small Euler characteristics, such as the complex projective plane CP2, its blow-up CP2#CP2-bar, the product of two complex projective lines CP1×CP1 and ultimately the 4-dimensional sphere S4. We plan to investigate the effect of the Gluck transformation. Possible extensions of the rational blow down procedure (successful in producing exotic structures) will be also studied. We plan collaborations with Zoltán Szabó, Daniel Nash and Mohan Bhupal in these questions."
Max ERC Funding
1 208 980 €
Duration
Start date: 2012-04-01, End date: 2017-03-31