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Basic Research in Mathematics(286)CAREER: Symplectic and spectral theory of integrable systems(9)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)FRG: Collaborative Research: Combinatorial representation theory, multiple Dirichlet series, and moments of Lfunctions(2)CDI Type II: Pseudorandomness(2)Scattering Theory(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)Harmonic Analysis, Partial Differential Equations, and Complex 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)Classical and Quantum Geometric Langlands Correspondence(1)

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Funder (5)
National Science Foundation(286)European Commission(12)Research Council UK(5)National Institutes of Health(1)Swiss National Science Foundation(1)Funder
National Science Foundation(286)European Commission(12)Research Council UK(5)National Institutes of Health(1)Swiss National Science Foundation(1)

Project (100+)
Basic Research in Mathematics(286)CAREER: Symplectic and spectral theory of integrable systems(9)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)Project
Showing top 100 values.Basic Research in Mathematics(286)
CAREER: Symplectic and spectral theory of integrable systems(9)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)FRG: Collaborative Research: Combinatorial representation theory, multiple Dirichlet series, and moments of Lfunctions(2)CDI Type II: Pseudorandomness(2)Scattering Theory(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)Harmonic Analysis, Partial Differential Equations, and Complex 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)Classical and Quantum Geometric Langlands Correspondence(1)

Publication Date (12)
2010(60)2009(48)2012(41)2011(40)2013(37)Publication Date
2010(60)2009(48)2012(41)2011(40)2013(37)2008(34)2015(7)2017(6)2014(5)2007(4)2018(2)2016(1)

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Open Access(284)Closed Access(2)Access Mode
Open Access(284)Closed Access(2)

Type (6)
Preprint(281)Article(39)Other literature type(20)Part of book or chapter of book(1)Research(1)Type
Preprint(281)Article(39)Other literature type(20)Part of book or chapter of book(1)Research(1)Unknown(1)

Language (3)
English(279)Undetermined(5)French(2)Language
English(279)Undetermined(5)French(2)

Content Provider (41)
arXiv.org ePrint Archive(281)Project Euclid(19)Hyper Article en Ligne(13)INRIA a CCSD electronic archive server(13)Unknown Repository(9)Content Provider
arXiv.org ePrint Archive(281)Project Euclid(19)Hyper Article en Ligne(13)INRIA a CCSD electronic archive server(13)Unknown Repository(9)BASE (Open Access Aggregator)(7)HALCEA(4)Caltech Authors(4)SpringerOpen(3)HalDiderot(3)HALENSLYON(3)Research Repository of Catalonia(3)Mémoires en Sciences de l'Information et de la Communication(2)Nordisk humanioraeprintarkiv  the Nordic arts and humanities eprint archive(2)HALPasteur(2)HAL AMU(2)HALINSA Toulouse(2)ArtXiker  @HAL(2)HALIRD(2)RERO DOC Digital Library(2)HAL Descartes(2)Digital Access to Scholarship at Harvard(2)UPCommons. Portal del coneixement obert de la UPC(2)HALInserm(2)HAL Clermont Université(2)HALLyon 3(2)White Rose Research Online(2)ACM Digital Library(1)JAIRO(1)HALRennes 1(1)Diposit Digital de Documents de la UAB(1)Oxford University Research Archive(1)DSpace@MIT(1)Surrey Research Insight(1)Edinburgh Research Explorer(1)University of East Anglia digital repository(1)eScholarship  University of California(1)Publikationer från Stockholms universitet(1)HALUPMC(1)Universiteit van Amsterdam Digital Academic Repository(1)Infoscience  École polytechnique fédérale de Lausanne(1)

An amortizedcomplexity method to compute the Riemann zeta function
Hiary, G. A.; (2010)A practical method to compute the Riemann zeta function is presented. The method can compute $\zeta(1/2+it)$ at any $\lfloor T^{1/4} \rfloor$ points in $[T,T+T^{1/4}]$ using an average time of $T^{1/4+o(1)}$ per point. This is the same complexity as the OdlyzkoSch\"onh... 
Poincar\'eBirkhoff theorems in random dynamics
Pelayo, Álvaro; Rezakhanlou, Fraydoun; (2013)Project: NSF  Basic Research in Mathema... (0635607), NSF  CAREER: Symplectic and sp... (1055897), NSF  Large Deviation, Kinetic ... (1106526)We propose a generalization of the Poincar\'eBirkhoff Theorem on areapreserving twist maps to areapreserving twist maps that are random with respect to an ergodic probability measure. The classical theory is a particular instance of the random theory we propose. 
On matrix elements for the quantized cat map modulo prime powers
Kelmer, Dubi; (2008)The quantum cat map is a model for a quantum system with underlying chaotic dynamics. In this paper we study the matrix elements of smooth observables in this model, when taking arithmetic symmetries into account. We give explicit formulas for the matrix elements as cer... 
On CYLG correspondence for (0,2) toric models
Borisov, Lev A.; Kaufmann, Ralph M.; (2011)Project: NSF  Operads and the Topology ... (0805881), NSF  Basic Research in Mathema... (0635607), NSF  Toric Geometry and Mirror... (1003445)We conjecture a description of the vertex (chiral) algebras of the (0,2) nonlinear sigma models on smooth quintic threefolds. We provide evidence in favor of the conjecture by connecting our algebras to the cohomology of a twisted chiral de Rham sheaf. We discuss CY/LG ... 
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"... 
Counting lattices in simple Lie groups: the positive characteristic case
Golsefidy, Alireza Salehi; (2011)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 ... 
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... 
Relative padic Hodge theory, II: (phi, Gamma)modules
Kedlaya, Kiran S.; Liu, Ruochuan; (2013)Project: NSF  Basic Research in Mathema... (0635607), NSF  Between ordinary and pad... (1101343), NSF  CAREER: Cohomological Met... (0545904)Building on foundations introduced in a previous paper, we give several padic analytic descriptions of the categories of etale Zplocal systems and etale Qplocal systems on an affinoid algebra over a finite extension of Qp (or more generally, over the fraction field o... 
On Effective log Iitaka Fibration for 3folds and 4folds
Todorov, Gueorgui; Xu, Chenyang; (2008)We prove the effectiveness of the log Iitaka fibration in Kodaira codimension two for varieties of dimension$\le 4$. In particular, we finish the proof of effective log Iitaka fibration in dimension two. Also, we show that for the log Iitaka fibration, if the fiber is o... 
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...