# Alexander Braverman

Mathematician

## Alexander Braverman's AcademicInfluence.com Rankings

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Mathematics

## Alexander Braverman's Degrees

- PhD Mathematics Princeton University
- Masters Mathematics Stanford University

## Why Is Alexander Braverman Influential?

(Suggest an Edit or Addition)According to Wikipedia, Alexander Braverman is an Israeli mathematician. Life and work Braverman was born in Moscow.. He earned in 1993 a BA degree in mathematics from the University of Tel Aviv, where in 1998 he received a Ph.D. under supervision of Joseph Bernstein. From 1997 to 1999 he was a C.L.E. Moore instructor at Massachusetts Institute of Technology and in 2004 Benjamin Peirce Lecturer at Harvard University. He was an associate professor at Brown University from 2004 to 2009 and then a full professor from 2009 to 2015. He is a full professor at University of Toronto since 2015 and an associate faculty member at Perimeter Institute for Theoretical Physics. He was also a visiting scholar at Institute for Advanced Study , the University of Paris VI and the Paris-Nord, the Hebrew University in Jerusalem, the Weizmann Institute, Clay Mathematics Institute and at the IHES in Paris.

## Alexander Braverman's Published Works

### Published Works

- Poincaré–Birkhoff–Witt Theorem for Quadratic Algebras of Koszul Type (1994) (191)
- Instanton counting via affine Lie algebras I: Equivariant J-functions of (affine) flag manifolds and Whittaker vectors (2004) (129)
- Instanton counting via affine Lie algebras II: From Whittaker vectors to the Seiberg-Witten prepotential (2004) (119)
- Uhlenbeck Spaces via Affine Lie Algebras (2006) (94)
- Quantum cohomology of the Springer resolution (2009) (94)
- Intersection cohomology of Drinfeld‚s compactifications (2000) (81)
- Crystals via the affine Grassmannian (1999) (77)
- Pursuing the double affine Grassmannian I: transversal slices via instantons on A_k-singularities (2007) (72)
- A Finite Analog of the AGT Relation I: Finite W-Algebras and Quasimaps’ Spaces (2010) (70)
- INSTANTON MODULI SPACES AND W-ALGEBRAS (2014) (65)
- Coulomb branches of $3d$ $\mathcal{N}=4$ quiver gauge theories and slices in the affine Grassmannian (2016) (64)
- Geometric Eisenstein series (1999) (63)
- Semi-infinite Schubert varieties and quantum K-theory of flag manifolds (2011) (56)
- γ-Functions of Representations and Lifting (2010) (51)
- Iwahori–Hecke algebras for p-adic loop groups (2014) (47)
- Weyl modules and $$q$$q-Whittaker functions (2012) (47)
- Geometric Langlands correspondence for D-modules in prime characteristic: the GL(n) case (2006) (44)
- Finite difference quantum Toda lattice via equivariant K-theory (2005) (44)
- Quantum integrable systems and differential Galois theory (1996) (43)
- The spherical Hecke algebra for affine Kac-Moody groups I (2008) (40)
- On the Schwartz space of the basic affine space (1998) (40)
- Ring objects in the equivariant derived Satake category arising from Coulomb branches (2017) (35)
- Modules over the small quantum group and semi-infinite flag manifold (2005) (35)
- Spaces of quasi-maps into the flag varieties and their applications (2006) (33)
- Instanton moduli spaces and $\mathscr W$-algebras (2014) (31)
- The Minimal Realization from Deformation Theory (1998) (30)
- Deformations of Local Systems and Eisenstein Series (2006) (29)
- Normalized intertwining operators and nilpotent elements in the Langlands dual group (2002) (27)
- An affine Gindikin-Karpelevich formula (2012) (26)
- Representations of affine Kac–Moody groups over local and global fields: a survey of some recent results (2012) (25)
- Twisted zastava and q ‐Whittaker functions (2014) (25)
- Affine Gindikin–Karpelevich Formula via Uhlenbeck Spaces (2009) (22)
- The Cohen-Macaulay property of the category of ( g , K )-modules (1997) (20)
- Some results about geometric Whittaker model (2002) (20)
- Gaiotto-Witten superpotential and Whittaker D-modules on monopoles (2014) (16)
- Pursuing the double affine Grassmannian II: Convolution (2009) (16)
- On Ginzburg’s lagrangian construction of representations of $GL(n)$ (1999) (15)
- Cyclotomic double affine Hecke algebras (with an appendix by Hiraku Nakajima and Daisuke Yamakawa) (2016) (14)
- Cyclotomic double affine Hecke algebras (2016) (14)
- GLUING OF ABELIAN CATEGORIES AND DIFFERENTIAL OPERATORS ON THE BASIC AFFINE SPACE (2001) (14)
- Geometry of Moduli Spaces and Representation Theory (2017) (13)
- Some Examples of Hecke Algebras for Two-Dimensional Local Fields (2006) (13)
- Large‐Scale Social Protest: A Business Risk and a Bureaucratic Opportunity (2016) (12)
- Macdonald polynomials, Laumon spaces and perverse coherent sheaves (2012) (11)
- Pursuing the double affine Grassmannian III: Convolution with affine Zastava (2010) (9)
- γ-Sheaves on Reductive Groups (2003) (9)
- The Cohen-Macaulay property of the category of $ ({\frak g}, K) $-modules (1997) (9)
- Mirabolic Satake equivalence and supergroups (2019) (8)
- ON EMBEDDINGS OF QUANTUM GROUPS (1994) (8)
- Line bundles over Coulomb branches (2018) (8)
- Kazhdan-Laumon representations of finite Chevalley groups, character sheaves and some generalization of the Lefschetz-Verdeier trace formula (1998) (8)
- Coulomb Branches of 3-Dimensional Gauge Theories and Related Structures (2018) (7)
- On quantum flag algebras (1994) (6)
- Dynamical Weyl groups and equivariant cohomology of transversal slices on affine Grassmannians (2010) (6)
- Some examples of Hecke algebras over 2-dimensional local fields (2005) (6)
- Normalized Intertwining Operators (2002) (6)
- Quantum geometric Langlands correspondence in positive characteristic : the GLN case by Roman Travkin (2012) (5)
- Lectures on algebraic D-modules (5)
- Remarks on the Asymptotic Hecke Algebra (2017) (5)
- On Euler characteristic of equivariant sheaves (2002) (4)
- Erratum to: Intersection cohomology of Drinfeld’s compactifications (Sel. math., New ser. 8 (2002), 381–418) (2004) (3)
- Relation between two geometrically defined bases in representations of $GL_n$ (2004) (3)
- A quasi-coherent description of the the category of D-mod(Gr$_{GL(n)}$) (2018) (3)
- Gamma-functions of representations and lifting (1999) (3)
- Orthosymplectic Satake equivalence (2019) (2)
- Tempered currents and the cohomology of the remote fiber of a real polynomial map (1997) (2)
- Coulomb branches of noncotangent type (with appendices by Gurbir Dhillon and Theo Johnson-Freyd) (2022) (2)
- Differential Galois groups and algebraic integrability of quantum integrable systems (1996) (1)
- Bernstein components via the Bernstein center (2015) (1)
- LINE BUNDLES ON COULOMB BRANCHES (2018) (1)
- INTRODUCTION TO ALGEBRAIC D-MODULES (2017) (1)
- Geometric Representation Theory and Gauge Theory (2019) (1)
- Algebras of Koszul Type (1996) (0)
- CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS (2014) (0)
- Orthosymplectic Satake equivalence 2 1 . 2 . Further generalizations : general orthosymplectic case , quantum supergroups and exceptional supergroups 3 1 (2022) (0)
- Fe b 20 02 ON EULER CHARACTERISTIC OF EQUIVARIANT SHEAVES (2008) (0)
- Orthosymplectic Satake equivalence, II (2022) (0)
- 81R12 Groups and algebras in quantum theory and relations with integrable systems 14H81 Relationships between algebraic curves and physics 55N91 Equivariant homology and cohomology in algebraic topology (2021) (0)
- Automorphic functions for nilpotent extensions of curves over finite fields (2023) (0)
- This note summarizes some conjectures on the theme of quantum geometric Langlands cor- respondence, which arose in the course of discussions around October-November 2006 between (2007) (0)
- Corrigendum to “Some results about geometric Whittaker model” [Adv. Math. 186 (1) (2004) 143–152] (2021) (0)
- Schwartz spaces, local L-factors and perverse sheaves (2023) (0)
- CARTAN DECOMPOSITION FOR COMPLEX LOOP GROUPS (2014) (0)
- The Mathematics of Joseph Bernstein (2016) (0)
- Geometric Representation Theory and Gauge Theory: Cetraro, Italy 2018 (2019) (0)
- Coffee Break REPRESENTATION THEORY AT THE CROSSROADS OF MODERN MATHEMATICS IN HONOR OF ALEXANDRE KIRILLOV (0)
- A G ] 1 8 M ar 2 00 6 Spaces of quasi-maps into the flag varieties and their applications (2006) (0)
- Schwartz space of parabolic basic affine space and asymptotic Hecke algebras (2018) (0)
- Automorphic functions on moduli spaces of bundles on curves over local fields: a survey (2021) (0)
- Kazhdan–Lusztig conjecture via zastava spaces (2020) (0)
- Kac-Moody groups I (2011) (0)
- A G ] 2 2 M ar 2 00 6 Spaces of quasi-maps into the flag varieties and their applications (2006) (0)
- A tribute to David Kazhdan (2017) (0)
- Gaiotto conjecture for $Rep_q(GL(N-1|N))$ (2021) (0)
- The Mathematics of Joseph Bernstein (2016) (0)
- Gamma sheaves on reductive groups (2001) (0)
- Iwahori–Hecke algebras for p-adic loop groups (2015) (0)
- Bernstein components via the Bernstein center (2016) (0)

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