David Kazhdan
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Russian mathematician
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David Kazhdanmathematics Degrees
Mathematics
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#456
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#96
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Measure Theory
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#937
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Mathematics
David Kazhdan's Degrees
- PhD Mathematics Moscow State University
Why Is David Kazhdan Influential?
(Suggest an Edit or Addition)According to Wikipedia, David Kazhdan , born Dmitry Aleksandrovich Kazhdan , is a Soviet and Israeli mathematician known for work in representation theory. Kazhdan is a 1990 MacArthur Fellow. Biography Kazhdan was born on 20 June 1946 in Moscow, USSR. His father is Alexander Kazhdan. He earned a doctorate under Alexandre Kirillov in 1969 and was a member of Israel Gelfand's school of mathematics. He is Jewish, and emigrated from the Soviet Union to take a position at Harvard University in 1975. He changed his name from Dmitri Aleksandrovich to David and became an Orthodox Jew around that time.
David Kazhdan's Published Works
Published Works
- Representations of Coxeter groups and Hecke algebras (1979) (1715)
- Proof of the Deligne-Langlands conjecture for Hecke algebras (1987) (500)
- Hamiltonian group actions and dynamical systems of calogero type (1978) (459)
- Tensor structures arising from affine Lie algebras. III (1993) (451)
- Connection of the dual space of a group with the structure of its close subgroups (1967) (370)
- Structure of representations with highest weight of infinite-dimensional Lie algebras☆ (1979) (363)
- Schubert varieties and Poincar'e duality (1980) (315)
- Quantization of Lie bialgebras, II (1996) (273)
- Some inverse spectral results for negatively curved 2-manifolds (1980) (260)
- Realization of the basic representations of the Euclidean Lie algebras (1981) (187)
- Metaplectic forms (1984) (182)
- Fixed point varieties on affine flag manifolds (1988) (166)
- Trace paley-wiener theorem for reductivep-adic groups (1986) (157)
- Quantization of Lie bialgebras, I (1995) (145)
- Integration in valued fields (2005) (133)
- Proof of Springer’s hypothesis (1977) (124)
- A topological approach to Springer's representations (1980) (122)
- Cuspidal geometry ofp-adic groups (1986) (114)
- On ɛ-representations (1982) (112)
- Reconstructing monoidal categories (1993) (108)
- Geometric and unipotent crystals II: From unipotent bicrystals to crystal bases (2006) (106)
- GEOMETRIC AND UNIPOTENT CRYSTALS (1999) (97)
- Affine Lie algebras and quantum groups (1991) (87)
- Representations of groups over close local fields (1986) (86)
- Quantization of Lie bialgebras, Part V: Quantum vertex operator algebras (2000) (78)
- Minimal Representations, Spherical Vectors¶and Exceptional Theta Series (2001) (75)
- Some applications of the Weil representation (1977) (74)
- Metaplectic correspondence (1986) (56)
- Isoperimetric Inequalities for Ramanujan Complexes and Topological Expanders (2014) (55)
- Relative modular symbols and Rankin-Selberg convolutions (2000) (54)
- Quantum affine algebras and their representations (1995) (52)
- γ-Functions of Representations and Lifting (2010) (51)
- Quantization of Poisson algebraic groups and Poisson homogeneous spaces (1995) (47)
- Iwahori–Hecke algebras for p-adic loop groups (2014) (47)
- Examples of tensor categories (1992) (46)
- When is the Fourier transform of an elementary function elementary? (2000) (46)
- Representations of algebraic groups over a 2-dimensional local field (2003) (45)
- On the cohomology of certain dynamical systems (1980) (44)
- A simple trace formula (1988) (43)
- Versal deformations of formal arcs (1998) (42)
- Representation Theory of Lie Groups (1980) (41)
- On the Schwartz space of the basic affine space (1998) (40)
- The spherical Hecke algebra for affine Kac-Moody groups I (2008) (40)
- On arithmetic varieties II (1983) (40)
- Quantization of Lie Bialgebras, Part VI: Quantization of Generalized Kac–Moody Algebras (2000) (40)
- Towards a generalized shimura correspondence (1986) (39)
- Geometric realization of Whittaker functions and the Langlands conjecture (1997) (37)
- Ramanujan Complexes and Bounded Degree Topological Expanders (2014) (36)
- Minimal representations: spherical vectors and automorphic functionals (2002) (35)
- The actions of infinite-dimensional Lie algebras (1972) (33)
- GEOMETRY OF SECOND ADJOINTNESS FOR p-ADIC GROUPS (2011) (32)
- Representations of quantum affine algebras (1995) (31)
- Hochschild and cyclic homology of finite type algebras (1998) (29)
- Normalized intertwining operators and nilpotent elements in the Langlands dual group (2002) (27)
- The classical master equation (2012) (27)
- EquivariantK-theory and representations of Hecke algebras. II (1985) (27)
- An affine Gindikin-Karpelevich formula (2012) (26)
- Motivic Poisson summation (2009) (26)
- The Value Ring of Geometric Motivic Integration, and the Iwahori Hecke Algebra of SL2 (2006) (25)
- Representations of affine Kac–Moody groups over local and global fields: a survey of some recent results (2012) (25)
- Metaplectic forms (1985) (25)
- Endoscopic decomposition of certain depth zero representations (2004) (23)
- Affine Gindikin–Karpelevich Formula via Uhlenbeck Spaces (2009) (22)
- Deligne–Lusztig duality and wonderful compactification (2017) (22)
- Properties of High Rank Subvarieties of Affine Spaces (2019) (22)
- LECTURE NOTES ON GEOMETRIC CRYSTALS AND THEIR COMBINATORIAL ANALOGUES (2006) (22)
- Yoneda Lemma for complete Segal spaces (2014) (20)
- Special bases forSN and GL(n) (1981) (19)
- Invariants of three-dimensional manifolds (1996) (19)
- Explicit realization of a metaplectic representation (1990) (18)
- Geometric Ramanujan Conjecture and Drinfeld Reciprocity Law (1989) (18)
- A toy model for the Drinfeld-Lafforgue shtuka construction (2019) (17)
- Algebraic groups over a 2-dimensional local field: Some further constructions (2004) (17)
- Approximate cohomology (2018) (17)
- Quantization of Lie bialgebras, III (1996) (17)
- The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support (2020) (16)
- Gluing of perverse sheaves and discrete series representation (1988) (16)
- Combinatorial Aspect Of Integrable Systems (2007) (16)
- On endoscopic transfer of Deligne-Lusztig functions (2009) (16)
- Nonlinear waves and turbulence in Marangoni convection (1995) (15)
- Quantum Fields and Strings: A Course for Mathematicians, Volumes I and 2. (2016) (15)
- On the depth r Bernstein projector (2015) (14)
- On Ranks of Polynomials (2018) (14)
- Flat Projective Connections (2007) (13)
- An analytic version of the Langlands correspondence for complex curves (2019) (13)
- Some Examples of Hecke Algebras for Two-Dimensional Local Fields (2006) (13)
- Representations of the Quantized Function Algebras, 2-Categories and Zamolodchikov Tetrahedra Equation (1993) (13)
- The Tannakian formalism and the Langlands conjectures (2010) (13)
- Kirillov models and the Breuil-Schneider conjecture for GL_2(F) (2013) (13)
- Regularization of divergent integrals (2016) (12)
- On the symmetric square: unstable local transfer (1988) (11)
- One-dimensional cohomologies of discrete subgroups (1970) (11)
- Endoscopic decomposition of characters of certain cuspidal representations (2003) (10)
- Quantization of Lie bialgebras, Part IV: The coinvariant construction and the quantum KZ equations (2000) (10)
- Kirillov models and integral structures in p-adic smooth representations of GL2(F) (2012) (10)
- γ-Sheaves on Reductive Groups (2003) (9)
- “Forms” of the Principal Series for GL n (1995) (9)
- A categorical approach to the stable center conjecture (2013) (9)
- The moduli space of stable supercurves and its canonical line bundle (2020) (9)
- Perverse sheaves on infinite-dimensional stacks, and affine Springer theory (2020) (9)
- Invariant differential operators and eigenspace representations (1980) (9)
- Regularity of the superstring supermeasure and the superperiod map (2019) (9)
- On the Schmidt and analytic ranks for trilinear forms (2021) (8)
- On the representation of the group GL(n, K) where K is a local field (1972) (8)
- Algebraic groups over a 2-dimensional local field: Irreducibility of certain induced representations (2004) (8)
- Applications of Algebraic Combinatorics to Algebraic Geometry (2020) (8)
- A GENERALIZED VANISHING CONJECTURE (2010) (8)
- Divergent integrals, residues of Dolbeault forms, and asymptotic Riemann mappings (2016) (7)
- The Harish-Chandra character (1980) (7)
- On the stable center conjecture (2013) (6)
- Generalization of a Theorem of Waldspurger to Nice Representations (2001) (6)
- Stable Distributions Supported on the Nilpotent Cone for the Group G 2 (2006) (6)
- Normalized Intertwining Operators (2002) (6)
- Some examples of Hecke algebras over 2-dimensional local fields (2005) (6)
- On the codimension of the singular locus (2019) (5)
- Remarks on the Asymptotic Hecke Algebra (2017) (5)
- Fourier Transform Over Local Fields (2006) (5)
- Polynomial functions as splines (2017) (5)
- Extending weakly polynomial functions from high rank varieties (2018) (5)
- Differential operators on G/U and the Gelfand-Graev action (2018) (4)
- Conjectural algebraic formulas for representations of $GL_n$ (1999) (4)
- Fourier transforms on the basic affine space of a quasi-split group. (2019) (4)
- Finding a Velocity Profile from a Love Wave Dispersion Curve: Problems of Uniqueness (1972) (4)
- Extending linear and quadratic functions from high rank varieties (2017) (4)
- Geometric approach to parabolic induction (2015) (4)
- Automorphic functions as the trace of Frobenius (2021) (4)
- Generalized character sums associated to regular prehomogeneous vector spaces (1999) (3)
- Analytic Langlands correspondence for PGL(2) on P^1 with parabolic structures over local fields (2021) (3)
- Hecke operators and analytic Langlands correspondence for curves over local fields (2021) (3)
- Duality for automorphic sheaves with nilpotent singular support (2020) (3)
- Extensions of representations of p-adic nilpotent groups (1992) (3)
- Gamma-functions of representations and lifting (1999) (3)
- On Shalika germs (2016) (3)
- Murnaghan-Kirillov theory for depth-zero supercuspidal representations: reduction to Lusztig functions (2011) (2)
- On tempered representations (2021) (2)
- On Bias and Rank. (2018) (2)
- Almost representations of Lie algebras and quantization (2020) (2)
- 2001 LECTURES ON QUANTUM FIELDS AND STRINGS FOR MATHEMATICIANS (2001) (2)
- Lusztig conjectures on S-cells in affine Weyl groups (2020) (2)
- Almost representations of algebras and quantization (2020) (2)
- On the bias of cubic polynomials (2017) (2)
- BRANCHING RULES FOR n-FOLD COVERING GROUPS OF SL 2 OVER A NON-ARCHIMEDEAN LOCAL FIELD (2018) (1)
- Characteristic functions of $p$-adic integral operators (2021) (1)
- The structure of Γ-rational groups for some discrete subgroup Γ of the group SL (2, R) (1968) (1)
- Schmidt rank and singularities (2021) (1)
- Integral geometry and representation theory (1980) (1)
- Berezin–Toeplitz Quantization and the Least Unsharpness Principle (2020) (1)
- UvA-DARE ( Digital Academic Repository ) Affine Hecke algebras and the conjectures of Hiraga , Ichino and Ikeda on the Plancherel density (2018) (1)
- Bernstein components via the Bernstein center (2015) (1)
- Linear subspaces of minimal codimension in hypersurfaces (2021) (1)
- On the unramified Eisenstein spectrum (2022) (1)
- Contractibility of the Space of Opers for Classical Groups (2018) (1)
- Algebraic Geometry and Representation Theory (2010) (1)
- A spectral decomposition of orbital integrals for PGL(2, F) (with an appendix by S. Debacker) (2017) (1)
- Schmidt rank of quartics over perfect fields (2021) (1)
- On a Theorem of N. Katz and Bases in Irreducible Representations (2015) (1)
- Yoneda Lemma for complete Segal spaces (2014) (1)
- Some homological properties of algebras involving smooth functions (2022) (1)
- 2 8 A ug 1 99 8 QUANTIZATION OF LIE BIALGEBRAS (1996) (0)
- Quantization of Generalized Kac-moody Algebras (0)
- On irreps of a Hecke algebra of a non-reductive group (2022) (0)
- Regularization of divergent integrals (2017) (0)
- On the depth r Bernstein projector (2016) (0)
- A construction of projective bases for irreducible representations of multiplicative groups of division algebras over local fields (2019) (0)
- Correction to: Acknowledgments in six articles published in Selecta Mathematica (2019) (0)
- Dedicated to Igor Frenkel on the occasion of his 60th birthday AN AFFINE GINDIKIN-KARPELEVICH FORMULA (2013) (0)
- Deligne–Lusztig duality and wonderful compactification (2018) (0)
- On Shalika germs (2016) (0)
- Schwartz spaces, local L-factors and perverse sheaves (2023) (0)
- Kant and the Aesthetic-Expressive Vision of Mathematics (1996) (0)
- Proof of the Deligne-Langlands for Hecke algebras (1987) (0)
- Representations of Quantum Aane Algebras (1995) (0)
- Fourier transform on a cone and the minimal representation of even orthogonal group (2023) (0)
- 2 4 Se p 20 02 MINIMAL REPRESENTATIONS : SPHERICAL VECTORS AND AUTOMORPHIC FUNCTIONALS (0)
- Vladimir Aleksandrovich Voevodsky (2018) (0)
- CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS (2014) (0)
- Automorphic functions on moduli spaces of bundles on curves over local fields: a survey (2021) (0)
- Reflections on the Development of Mathematics in the 20th Century (2000) (0)
- Appoximate Cohomology (2017) (0)
- On Ranks of Polynomials (2018) (0)
- Contractibility of the space of generic opers for classical groups (2018) (0)
- R T ] 1 0 O ct 2 01 8 GEOMETRIC APPROACH TO PARABOLIC INDUCTION (2018) (0)
- Approximate cohomology (2017) (0)
- Geometric approach to parabolic induction (2016) (0)
- Schwartz space of parabolic basic affine space and asymptotic Hecke algebras (2018) (0)
- Geometrization in Representation Theory (2010) (0)
- On the bias of cubic polynomials (2017) (0)
- Spherical isotropy representations . Non-commutative differential geometry . Transformation de fourier et majoration de sommes exponentielles . Corrections to, Metaplectic forms (1985) (0)
- Automorphic functions for nilpotent extensions of curves over finite fields (2023) (0)
- Works of major importance (2019) (0)
- Lusztig conjectures on S-cells in affine Weyl groups (2021) (0)
- Critères pour l'indépendance algébrique . Metaplectic correspondence . Quadratic vector fields in the plane have a finite number of limit cycles . C[k]-conjugacy of holomorphic flows near a singularity . Correction to the algebraic topology of smooth algebraic varieties (1986) (0)
- Gamma sheaves on reductive groups (2001) (0)
- Analytic Langlands correspondence for PGL2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$PGL_2$$\end{document} on P1\ (2022) (0)
- On Certain L-functions Titles and Abstracts (2007) (0)
- Kac-Moody groups I (2011) (0)
- Analytic Langlands correspondence for $$PGL_2$$ on $${\mathbb {P}}^1$$ with parabolic structures over local fields (2022) (0)
- ON QUANTUM FIELDS AND STRINGS FOR MATHEMATICIANS (2001) (0)
- On A characteristic of congruence subgroups of the group G = SL (2, Z) (1970) (0)
- Almost invariant subspaces and operators (2021) (0)
- Character values and Hochschild homology (2018) (0)
- CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS (2014) (0)
- Isoperimetric Inequalities for Ramanujan Complexes and Topological Expanders (2016) (0)
- Fourier transform over finite field and identities between Gauss sums (2000) (0)
- Bernstein components via the Bernstein center (2016) (0)
- Polynomial functions as splines (2019) (0)
- Meromorphic Monoidal Structures (1994) (0)
- A spectral decomposition of orbital integrals for PGL(2, F) (with an appendix by S. Debacker) (2017) (0)
- Iwahori–Hecke algebras for p-adic loop groups (2015) (0)
- Correction to: Acknowledgments in six articles published in Selecta Mathematica (2019) (0)
- Integrable clusters (2014) (0)
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