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Basic Research in Mathematics(288)CAREER: Symplectic and spectral theory of integrable systems(9)Scattering Theory(8)Symplectic and Poisson Geometry in interaction with Algebra, Analysis and Topology(7)FRG: Lfunctions and Modular Forms(7)Aspects of Harmonic Analysis and Hamiltonian PDEs(7)CAREER: Holomorphic Curves in Algebraic Geometry and Symplectic Topology(6)PostDoctoral Research Fellowship(6)New Applications of Floer homology to Symplectic Topology(5)Research topics in partial differential equations(5)PostDoctoral Research Fellowship(5)Generalizations of Serre's Conjecture(5)Galois Representations and Modular Forms(4)FRG: Collaborative Research: Applications of Transportation Theory to Nonlinear Dynamics(4)Mean values f Lfunctions(4)CAREER: Cohomological Methods in Algebraic Geometry and Number Theory(4)Operads and the Topology of Possibly Singular Spaces(4)RUI: Hamiltonian Instability(3)Discrete subgroups of semisimple Lie groups(3)Flat Connections, Irregular Singularities and Quantum Groups(3)Collaborative Research: Categorification of Link and 3Manifold Invariants(3)Properties T, Tau and profinite groups(3)Representations of finite groups and Lie algebras  from combinatorics to categorification(3)Homotopy and Type Theory(3)Analysis of Nonlinear Partial Differential Equations(3)ANTHOS(2)STEIN(2)STRONGPCP(2)CONTACTMATH(2)Properties T, Tau and Kazhdan constants(2)Rational Points & Rational Curves on Algebraic Varieties(2)Theoretical Physics(2)Geometric Approach To Braid Theory(2)Serretype conjectures and mod p Langlands correspondences(2)Multilinear Operators in Harmonic Analysis and Ergodic Theory(2)Simple Models in Mathematical Physics(2)Between ordinary and padic Hodge theory(2)COLLABORATIVE RESEARCH: EMSW21RTG: JOINT COLUMBIACUNYNYU RESEARCH TRAINING GROUP IN NUMBER THEORY(2)FRG: Collaborative Research: The topology and invariants of smooth 4manifolds(2)Subconvexity Bounds of LFunctions(2)Schrodinger Operators, Integrable Systems, and Other Simple Models in Mathematical Physics(2)CAREER: Representation Theory on Curves(2)An Affine Sieve(2)CAREER: Sharp Concentration and Probabilistic Methods(2)Research in Mathematics(2)Basic Research in Mathematics(2)Inverse Boundary Value Problems in Partial Differential Equations(2)Perverse Sheaves in Representation Theory(2)CDI Type II: Pseudorandomness(2)CAREER: Analytic Problems in Arithmetic Geometry(2)Long and Short Time Asymptotics of Systems of Nonlinear Partial Differential Equations Arising in MeanField Theory and FluidDynamics(2)Geometric methods in local and global representation theory(2)NMNAG(1)GEODYCON(1)ILU(1)SSGHD(1)MULTIMOD(1)AUTOMORPHIC(1)NMRA: New Mathematical Methodology for NMR Spectroscopy(1)Applications of Geometric Microlocal Analysis(1)Collaborative Research: FRG: Eigenvalue and Saturation Problems for Reductive Groups(1)Geometry and dynamics of representations into semisimple Lie Groups(1)RUI: Investigations of Lfunctions and Benford's Law(1)The Discrepancy Theory and the Small Ball Conjecture(1)Partial differential equations in conformal and CR geometry(1)Analysis of evolution equations and related problems(1)PostDoctoral Research Fellowship(1)Large Deviation, Kinetic Limit and Gelation(1)Gauge Theory and Categorification(1)Contact and Symplectic Structures and Holomorphic Curves(1)Carleson's Theorem in Analysis, Scattering, and Ergodic Theory(1)CAREER: Symplectic and spectral theory of integrable systems(1)padic Aspects of the Langlands Program(1)Counting Problems and Dichotomy Theorems(1)Arnold Diffusion, Quasiergodic Hypothesis, Instabilities for the Planar 3 Body Problem, and Central Configurations(1)The circle method, character sums, and sieves: Applications to number theory and harmonic analysis(1)Diffusion Processes and Partial Differential Equations(1)Functoriality in Function Fields(1)Investigations in Harmonic Analysis(1)U.S.Japan Cooperative Science: String Field Theory and String Geometry(1)Analytic and numerical studies of long term behavior in dynamical systems and differential equations(1)RUI: INSTABILITY OF DYNAMICAL SYSTEMS(1)Nonlinear equations and Schroedinger operators(1)On wellposedness and regularity properties for fluid equations and nonlinear dispersive equations(1)The Mathematics of Stochastic Systems with Many Interacting Constituents(1)Applications and extensions of padic Hodge theory(1)The Kakeya problem and additive combinatorics(1)Fluctuations, Resonances, and Critical Phenomena(1)AF: Small: Equilibria, Algorithms, and Mechanism Design for Network Games and Markets(1)Statistical transport of complex particle systems(1)Ergodic and Statistical Phenomena in Dynamics(1)Algebraic varieties, birational geometry and the structure of the Galois groups(1)Skein Theory, Khovanov Homology, and Quantum Doubles of Subfactors(1)Spherical varieties in the Langlands program(1)CAREER: Higher Teichmuller Theory(1)Homogeneous Dynamics and Number Theory(1)Harmonic Analysis and the Theory of Elliptic Measure(1)Representations and Presentations of Finite Groups and Coverings of Curves(1)Contact Geometry, Contact Homology and Open Book Decompositions(1)LCAMP: Extremely Local HighPerformance Wavelet Representations in High Spatial Dimension(1)

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arXiv.org ePrint Archive(277)Project Euclid(17)Hyper Article en Ligne(12)INRIA a CCSD electronic archive server(11)Unknown Repository(8)BASE (Open Access Aggregator)(6)Caltech Authors(4)SpringerOpen(3)Research Repository of Catalonia(3)Mémoires en Sciences de l'Information et de la Communication(2)HALPasteur(2)HALCEA(2)UPCommons. Portal del coneixement obert de la UPC(2)White Rose Research Online(2)Boundary Value Problems(1)ACM Digital Library(1)HALRennes 1(1)Diposit Digital de Documents de la UAB(1)HalDiderot(1)Oxford University Research Archive(1)DSpace@MIT(1)HALENSLYON(1)Surrey Research Insight(1)Edinburgh Research Explorer(1)RERO DOC Digital Library(1)eScholarship  University of California(1)Publikationer från Stockholms universitet(1)Digital Access to Scholarship at Harvard(1)HALUPMC(1)Universiteit van Amsterdam Digital Academic Repository(1)

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arXiv.org ePrint Archive(277)Project Euclid(17)Hyper Article en Ligne(12)INRIA a CCSD electronic archive server(11)Crossref(7)BASE (Open Access Aggregator)(6)CORE (RIOXXUK Aggregator)(5)Caltech Authors(4)European Research Council (ERC)(3)Research Repository of Catalonia(3)Mémoires en Sciences de l'Information et de la Communication(2)HALPasteur(2)HALCEA(2)UPCommons. Portal del coneixement obert de la UPC(2)DOAJArticles(1)ACM Digital Library(1)NARCIS(1)HALRennes 1(1)Diposit Digital de Documents de la UAB(1)HalDiderot(1)Oxford University Research Archive(1)DSpace@MIT(1)HALENSLYON(1)Surrey Research Insight(1)Edinburgh Research Explorer(1)RERO DOC Digital Library(1)eScholarship  University of California(1)Publikationer från Stockholms universitet(1)Digital Access to Scholarship at Harvard(1)HALUPMC(1)
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Funder (4)
National Science Foundation(288)European Commission(12)Research Council UK(5)National Institutes of Health(1)Funder
National Science Foundation(288)European Commission(12)Research Council UK(5)National Institutes of Health(1)

Project (100+)
Basic Research in Mathematics(288)CAREER: Symplectic and spectral theory of integrable systems(9)Scattering Theory(8)Symplectic and Poisson Geometry in interaction with Algebra, Analysis and Topology(7)FRG: Lfunctions and Modular Forms(7)Project
Showing top 100 values.Basic Research in Mathematics(288)
CAREER: Symplectic and spectral theory of integrable systems(9)Scattering Theory(8)Symplectic and Poisson Geometry in interaction with Algebra, Analysis and Topology(7)FRG: Lfunctions and Modular Forms(7)Aspects of Harmonic Analysis and Hamiltonian PDEs(7)CAREER: Holomorphic Curves in Algebraic Geometry and Symplectic Topology(6)PostDoctoral Research Fellowship(6)New Applications of Floer homology to Symplectic Topology(5)Research topics in partial differential equations(5)PostDoctoral Research Fellowship(5)Generalizations of Serre's Conjecture(5)Galois Representations and Modular Forms(4)FRG: Collaborative Research: Applications of Transportation Theory to Nonlinear Dynamics(4)Mean values f Lfunctions(4)CAREER: Cohomological Methods in Algebraic Geometry and Number Theory(4)Operads and the Topology of Possibly Singular Spaces(4)RUI: Hamiltonian Instability(3)Discrete subgroups of semisimple Lie groups(3)Flat Connections, Irregular Singularities and Quantum Groups(3)Collaborative Research: Categorification of Link and 3Manifold Invariants(3)Properties T, Tau and profinite groups(3)Representations of finite groups and Lie algebras  from combinatorics to categorification(3)Homotopy and Type Theory(3)Analysis of Nonlinear Partial Differential Equations(3)ANTHOS(2)STEIN(2)STRONGPCP(2)CONTACTMATH(2)Properties T, Tau and Kazhdan constants(2)Rational Points & Rational Curves on Algebraic Varieties(2)Theoretical Physics(2)Geometric Approach To Braid Theory(2)Serretype conjectures and mod p Langlands correspondences(2)Multilinear Operators in Harmonic Analysis and Ergodic Theory(2)Simple Models in Mathematical Physics(2)Between ordinary and padic Hodge theory(2)COLLABORATIVE RESEARCH: EMSW21RTG: JOINT COLUMBIACUNYNYU RESEARCH TRAINING GROUP IN NUMBER THEORY(2)FRG: Collaborative Research: The topology and invariants of smooth 4manifolds(2)Subconvexity Bounds of LFunctions(2)Schrodinger Operators, Integrable Systems, and Other Simple Models in Mathematical Physics(2)CAREER: Representation Theory on Curves(2)An Affine Sieve(2)CAREER: Sharp Concentration and Probabilistic Methods(2)Research in Mathematics(2)Basic Research in Mathematics(2)Inverse Boundary Value Problems in Partial Differential Equations(2)Perverse Sheaves in Representation Theory(2)CDI Type II: Pseudorandomness(2)CAREER: Analytic Problems in Arithmetic Geometry(2)Long and Short Time Asymptotics of Systems of Nonlinear Partial Differential Equations Arising in MeanField Theory and FluidDynamics(2)Geometric methods in local and global representation theory(2)NMNAG(1)GEODYCON(1)ILU(1)SSGHD(1)MULTIMOD(1)AUTOMORPHIC(1)NMRA: New Mathematical Methodology for NMR Spectroscopy(1)Applications of Geometric Microlocal Analysis(1)Collaborative Research: FRG: Eigenvalue and Saturation Problems for Reductive Groups(1)Geometry and dynamics of representations into semisimple Lie Groups(1)RUI: Investigations of Lfunctions and Benford's Law(1)The Discrepancy Theory and the Small Ball Conjecture(1)Partial differential equations in conformal and CR geometry(1)Analysis of evolution equations and related problems(1)PostDoctoral Research Fellowship(1)Large Deviation, Kinetic Limit and Gelation(1)Gauge Theory and Categorification(1)Contact and Symplectic Structures and Holomorphic Curves(1)Carleson's Theorem in Analysis, Scattering, and Ergodic Theory(1)CAREER: Symplectic and spectral theory of integrable systems(1)padic Aspects of the Langlands Program(1)Counting Problems and Dichotomy Theorems(1)Arnold Diffusion, Quasiergodic Hypothesis, Instabilities for the Planar 3 Body Problem, and Central Configurations(1)The circle method, character sums, and sieves: Applications to number theory and harmonic analysis(1)Diffusion Processes and Partial Differential Equations(1)Functoriality in Function Fields(1)Investigations in Harmonic Analysis(1)U.S.Japan Cooperative Science: String Field Theory and String Geometry(1)Analytic and numerical studies of long term behavior in dynamical systems and differential equations(1)RUI: INSTABILITY OF DYNAMICAL SYSTEMS(1)Nonlinear equations and Schroedinger operators(1)On wellposedness and regularity properties for fluid equations and nonlinear dispersive equations(1)The Mathematics of Stochastic Systems with Many Interacting Constituents(1)Applications and extensions of padic Hodge theory(1)The Kakeya problem and additive combinatorics(1)Fluctuations, Resonances, and Critical Phenomena(1)AF: Small: Equilibria, Algorithms, and Mechanism Design for Network Games and Markets(1)Statistical transport of complex particle systems(1)Ergodic and Statistical Phenomena in Dynamics(1)Algebraic varieties, birational geometry and the structure of the Galois groups(1)Skein Theory, Khovanov Homology, and Quantum Doubles of Subfactors(1)Spherical varieties in the Langlands program(1)CAREER: Higher Teichmuller Theory(1)Homogeneous Dynamics and Number Theory(1)Harmonic Analysis and the Theory of Elliptic Measure(1)Representations and Presentations of Finite Groups and Coverings of Curves(1)Contact Geometry, Contact Homology and Open Book Decompositions(1)LCAMP: Extremely Local HighPerformance Wavelet Representations in High Spatial Dimension(1)

Publication Date (12)
2010(59)2009(46)2011(45)2012(42)2013(36)Publication Date
2010(59)2009(46)2011(45)2012(42)2013(36)2008(34)2014(7)2015(6)2017(5)2007(4)2018(2)2016(1)

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Open Access(286)Closed Access(2)

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Preprint(277)Article(41)Other literature type(17)Part of book or chapter of book(1)Type
Preprint(277)Article(41)Other literature type(17)Part of book or chapter of book(1)

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English(285)French(2)Undetermined(1)Language
English(285)French(2)Undetermined(1)

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arXiv.org ePrint Archive(277)Project Euclid(17)Hyper Article en Ligne(12)INRIA a CCSD electronic archive server(11)Unknown Repository(8)Content Provider
arXiv.org ePrint Archive(277)Project Euclid(17)Hyper Article en Ligne(12)INRIA a CCSD electronic archive server(11)Unknown Repository(8)BASE (Open Access Aggregator)(6)Caltech Authors(4)SpringerOpen(3)Research Repository of Catalonia(3)Mémoires en Sciences de l'Information et de la Communication(2)HALPasteur(2)HALCEA(2)UPCommons. Portal del coneixement obert de la UPC(2)White Rose Research Online(2)Boundary Value Problems(1)ACM Digital Library(1)HALRennes 1(1)Diposit Digital de Documents de la UAB(1)HalDiderot(1)Oxford University Research Archive(1)DSpace@MIT(1)HALENSLYON(1)Surrey Research Insight(1)Edinburgh Research Explorer(1)RERO DOC Digital Library(1)eScholarship  University of California(1)Publikationer från Stockholms universitet(1)Digital Access to Scholarship at Harvard(1)HALUPMC(1)Universiteit van Amsterdam Digital Academic Repository(1)

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arXiv.org ePrint Archive(277)Project Euclid(17)Hyper Article en Ligne(12)INRIA a CCSD electronic archive server(11)Crossref(7)Collected From
arXiv.org ePrint Archive(277)Project Euclid(17)Hyper Article en Ligne(12)INRIA a CCSD electronic archive server(11)Crossref(7)BASE (Open Access Aggregator)(6)CORE (RIOXXUK Aggregator)(5)Caltech Authors(4)European Research Council (ERC)(3)Research Repository of Catalonia(3)Mémoires en Sciences de l'Information et de la Communication(2)HALPasteur(2)HALCEA(2)UPCommons. Portal del coneixement obert de la UPC(2)DOAJArticles(1)ACM Digital Library(1)NARCIS(1)HALRennes 1(1)Diposit Digital de Documents de la UAB(1)HalDiderot(1)Oxford University Research Archive(1)DSpace@MIT(1)HALENSLYON(1)Surrey Research Insight(1)Edinburgh Research Explorer(1)RERO DOC Digital Library(1)eScholarship  University of California(1)Publikationer från Stockholms universitet(1)Digital Access to Scholarship at Harvard(1)HALUPMC(1)

Counting lattices in simple Lie groups: The positive characteristic case
Salehi Golsefidy, Alireza; (2012)In this article, we prove the following conjecture by Lubotzky. Let $G=\mathbb {G}_{0}(K)$ , where $K$ is a local field of characteristic $p\ge5$ and where $\mathbb {G}_{0}$ is a simply connected, absolutely almost simple $K$ group of $K$ rank at least 2. We give the ... 
Symplectic spectral geometry of semiclassical operators
Pelayo, Álvaro; (2013)In the past decade there has been a flurry of activity at the intersection of spectral theory and symplectic geometry. In this paper we review recent results on semiclassical spectral theory for commuting BerezinToeplitz and $\hbar$pseudodifferential operator... 
Quantum transfer operators and quantum scattering
Nonnenmacher, Stéphane; (2010)18 pages, 3 figures.; These notes describe a new method to investigate the spectral properties if quantum scattering Hamiltonians, developed in collaboration with J. Sjöstrand and M.Zworski. This method consists in constructing a family of "quantized transfer operators"... 
Local quaternionic rigidity for complex hyperbolic lattices
Inkang, Kim; Klingler, Bruno; Pansu, Pierre; (2009)24 pages; International audience; Let $\Gamma \stackrel{i}{\hookrightarrow} L$ be a lattice in the real simple Lie group $L$. If $L$ is of rank at least $2$ (respectively locally isomorphic to $Sp(n,1)$) any unbounded morphism $\rho: \Gamma \longrightarrow G$ into a sim... 
The index of Floer moduli problems for parametrized action functionals
Bourgeois, Frédéric; Oancea, Alexandru; (2012)Project: NSF  Basic Research in Mathema... (0635607), EC  CONTACTMATH (239781), EC  STEIN (259118)We define an index for the critical points of parametrized Hamiltonian action functionals. The expected dimension of moduli spaces of parametrized Floer trajectories equals the difference of indices of the asymptotes. 
Homotopyinitial algebras in type theory
Awodey, S; Gambino, N; Sojakova, K; (2017)We investigate inductive types in type theory, using the insights provided by homotopy type theory and univalent foundations of mathematics. We do so by introducing the new notion of a homotopyinitial algebra. This notion is defined by a purely typetheoretic contracti... 
The Local Universes Model : An Overlooked Coherence Construction for Dependent Type Theories
Lumsdaine, Peter LeFanu; Warren, Michael A.; (2015)We present a new coherence theorem for comprehension categories, providing strict models of dependent type theory with all standard constructors, including dependent products, dependent sums, identity types, and other inductive types. Precisely, we take as input a "weak... 
Discrete fractional Radon transforms and quadratic forms
Pierce, Lillian B.; (2012)We consider discrete analogues of fractional Radon transforms involving integration over paraboloids defined by positive definite quadratic forms. We prove sharp results for this class of discrete operators in all dimensions, providing necessary and sufficient condition... 
From open quantum systems to open quantum maps
Nonnenmacher , Stéphane; Sjoestrand , Johannes; Zworski , Maciej; (2011)53 pages, 8 figures; International audience; For a class of quantized open chaotic systems satisfying a natural dynamical assumption, we show that the study of the resolvent, and hence of scattering and resonances, can be reduced to the study of a family of open quantum... 
Fractal Weyl law for open quantum chaotic maps
Nonnenmacher , Stéphane; Sjoestrand , Johannes; Zworski , Maciej; (2014)69 pages, 7 figures; International audience; We study the semiclassical quantization of Poincaré maps arising in scattering problems with fractal hyperbolic trapped sets. The main application is the proof of a fractal Weyl upper bound for the number of resonances/scatte...