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Basic Research in Mathematics(287)Scattering Theory(9)CAREER: Symplectic and spectral theory of integrable systems(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)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)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)Analysis of Nonlinear Partial Differential Equations(2)NMNAG(1)GEODYCON(1)AUTOMORPHIC(1)NMRA: New Mathematical Methodology for NMR Spectroscopy(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)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)Mathematical Sciences Research Institute 5Year Proposal(1)

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Funder (4)
National Science Foundation(287)European Commission(9)Research Council UK(4)National Institutes of Health(1)Funder
National Science Foundation(287)European Commission(9)Research Council UK(4)National Institutes of Health(1)

Project (100+)
Basic Research in Mathematics(287)Scattering Theory(9)CAREER: Symplectic and spectral theory of integrable systems(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(287)
Scattering Theory(9)CAREER: Symplectic and spectral theory of integrable systems(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)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)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)Analysis of Nonlinear Partial Differential Equations(2)NMNAG(1)GEODYCON(1)AUTOMORPHIC(1)NMRA: New Mathematical Methodology for NMR Spectroscopy(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)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)Mathematical Sciences Research Institute 5Year Proposal(1)

Publication Date (12)
2010(60)2009(50)2011(41)2012(41)2013(37)Publication Date
2010(60)2009(50)2011(41)2012(41)2013(37)2008(32)2014(8)2015(6)2017(5)2007(4)2016(1)2018(1)

Access Mode (2)
Open Access(285)Closed Access(2)Access Mode
Open Access(285)Closed Access(2)

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Preprint(276)Article(39)Other literature type(18)Part of book or chapter of book(1)Type
Preprint(276)Article(39)Other literature type(18)Part of book or chapter of book(1)

Language (3)
English(283)French(2)Undetermined(2)Language
English(283)French(2)Undetermined(2)

Content Provider (30)
arXiv.org ePrint Archive(276)Project Euclid(18)Hyper Article en Ligne(11)INRIA a CCSD electronic archive server(9)BASE (Open Access Aggregator)(6)Content Provider
arXiv.org ePrint Archive(276)Project Euclid(18)Hyper Article en Ligne(11)INRIA a CCSD electronic archive server(9)BASE (Open Access Aggregator)(6)Unknown Repository(5)Caltech Authors(4)Research Repository of Catalonia(3)SpringerOpen(2)Mémoires en Sciences de l'Information et de la Communication(2)HALPasteur(2)HALCEA(2)RERO DOC Digital Library(2)Digital Access to Scholarship at Harvard(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)University of East Anglia digital repository(1)Publikationer från Stockholms universitet(1)HALUPMC(1)Universiteit van Amsterdam Digital Academic Repository(1)

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... 
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... 
Affine Sieve
Golsefidy, Alireza Salehi; Sarnak, Peter; (2011)We establish the main saturation conjecture in [BGS10] connected with executing a Brun sieve in the setting of an orbit of a group of affine linear transformations. This is carried out under the condition that the Zariski closure of the group is Levisemisimple. It is l... 
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... 
A polynomial Carleson operator along the paraboloid
Pierce, L. B.; Yung, PoLam; (2015)Project: NSF  Three problems in Harmoni... (1201474), NSF  PostDoctoral Research Fel... (0902658), NSF  The circle method, charac... (1402121), NSF  Basic Research in Mathema... (0635607)In this work we extend consideration of the polynomial Carleson operator to the setting of a Radon transform acting along the paraboloid in $\mathbb{R}^{n+1}$ for $n \geq 2$. Inspired by work of Stein and Wainger on the original polynomial Carleson operator, we develop ... 
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... 
Regularity of optimal transport maps on multiple products of spheres
Figalli, Alessio; Kim, YoungHeon; McCann, Robert J.; (2010)Project: NSF  Analytical and geometrica... (0969962), NSF  Basic Research in Mathema... (0635607), NSF  FRG: Collaborative Resear... (0354729)This article addresses regularity of optimal transport maps for cost="squared distance" on Riemannian manifolds that are products of arbitrarily many round spheres with arbitrary sizes and dimensions. Such manifolds are known to be nonnegatively crosscurved [KM2]. Und... 
Distribution of twisted Kloosterman sums modulo prime powers
Kelmer, Dubi; (2008)In this note we study Kloosterman sums twisted by a multiplicative characters modulo a prime power. We show, by an elementary calculation, that these sums become equidistributed on the real line with respect to a suitable measure. 
Localization of MultiDimensional Wigner Distributions
Lieb, Elliott H.; Ostrover, Yaron; (2010)A well known result of P. Flandrin states that a Gaussian uniquely maximizes the integral of the Wigner distribution over every centered disc in the phase plane. While there is no difficulty in generalizing this result to higherdimensional polydiscs, the generalizatio... 
Kloosterman sheaves for reductive groups
Heinloth, Jochen; Chau, Ngo Bao; Yun, Zhiwei; (2010)Project: NSF  Geometric methods in loca... (0969470), NSF  Basic Research in Mathema... (0635607), NSF  Functoriality in Function... (1118716)Deligne constructed a remarkable local system on $\bP^1\{0,\infty\}$ attached to a family of Kloosterman sums. Katz calculated its monodromy and asked whether there are Kloosterman sheaves for general reductive groups and which automorphic forms should be attached to t...