Dennis Gaitsgory

Q: What Schools Are Affiliated With Dennis Gaitsgory

Dennis Gaitsgory is affiliated with the following schools: Tel Aviv University, University of Chicago, Harvard University

Dennis Gaitsgory's AcademicInfluence.com Rankings

Dennis Gaitsgory

Mathematics

#1308

World Rank

#2187

Historical Rank

#545

USA Rank

Measure Theory

#3141

World Rank

#3726

Historical Rank

#914

USA Rank

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Mathematics

Why Is Dennis Gaitsgory Influential?

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According to Wikipedia, Dennis Gaitsgory is a professor of mathematics at Harvard University known for his research on the geometric Langlands program. Born in Chișinău, now in Moldova, he grew up in Tajikistan, before studying at Tel Aviv University under Joseph Bernstein . He received his doctorate in 1997 for a thesis entitled "Automorphic Sheaves and Eisenstein Series". He has been awarded a Harvard Junior Fellowship, a Clay Research Fellowship, and the prize of the European Mathematical Society for his work.

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Dennis Gaitsgory's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Poincaré–Birkhoff–Witt Theorem for Quadratic Algebras of Koszul Type (1994) (191)
A study in derived algebraic geometry Volume II: Deformations, Lie theory and formal geometry (2018) (189)
Construction of central elements in the affine Hecke algebra via nearby cycles (1999) (182)
Singular support of coherent sheaves and the geometric Langlands conjecture (2012) (161)
Local geometric Langlands correspondence and affine Kac-Moody algebras (2005) (139)
An introduction to the Langlands program (2004) (133)
On Some Finiteness Questions for Algebraic Stacks (2011) (122)
Sheaves of categories and the notion of 1-affineness (2013) (111)
A Study in Derived Algebraic Geometry, Part 1: Volume I: Correspondences and Duality (2017) (105)
Chiral Koszul duality (2011) (104)
The Gerbe Of Higgs Bundles (2000) (102)
Ind-coherent sheaves (2011) (100)
Uhlenbeck Spaces via Affine Lie Algebras (2006) (94)
Intersection cohomology of Drinfeld‚s compactifications (2000) (81)
Whittaker patterns in the geometry of moduli spaces of bundles on curves (1999) (79)
Crystals and D-modules (2011) (77)
Crystals via the affine Grassmannian (1999) (77)
On a vanishing conjecture appearing in the geometric Langlands correspondence (2002) (72)
Weil's Conjecture for Function Fields (2019) (67)
Outline of the proof of the geometric Langlands conjecture for GL(2) (2013) (64)
Compact generation of the category of D-modules on the stack of G-bundles on a curve (2011) (63)
Geometric Eisenstein series (1999) (63)
Another realization of the category of modules over the small quantum group (2000) (62)
Differential operators on the loop group via chiral algebras (2000) (60)
Twisted Whittaker model and factorizable sheaves (2007) (56)
ON A THEOREM OF BRADEN (2013) (51)
D-modules on the affine Grassmannian and representations of affine Kac-Moody algebras (2003) (47)
Contractibility of the space of rational maps (2011) (46)
Representations of algebraic groups over a 2-dimensional local field (2003) (45)
Quantum integrable systems and differential Galois theory (1996) (43)
Localization of g^-modules on the affine Grassmannian (2005) (43)
Notes on 2D Conformal Field Theory and String Theory (1998) (39)
Geometric realization of Whittaker functions and the Langlands conjecture (1997) (37)
Modules over the small quantum group and semi-infinite flag manifold (2005) (35)
The notion of category over an algebraic stack (2005) (35)
D-modules on the affine flag variety and representations of affine Kac-Moody algebras (2007) (35)
Spherical varieties and Langlands duality (2006) (35)
Geometric constant term functor(s) (2013) (34)
On the geometric Langlands conjecture (2000) (32)
Parameters and duality for the metaplectic geometric Langlands theory (2016) (30)
NOTES ON GEOMETRIC LANGLANDS: GENERALITIES ON DG CATEGORIES (2012) (29)
Deformations of Local Systems and Eisenstein Series (2006) (29)
Quantum Langlands Correspondence (2016) (29)
Informal Introduction to Geometric Langlands (2004) (28)
The Atiyah-Bott formula for the cohomology of the moduli space of bundles on a curve (2015) (27)
Functors given by kernels, adjunctions and duality (2013) (27)
Weyl modules and opers without monodromy (2007) (25)
A "strange" functional equation for Eisenstein series and miraculous duality on the moduli stack of bundles (2014) (24)
Local Geometric Langlands Correspondence: the Spherical Case (2007) (23)
Fusion and convolution: applications to affine Kac-Moody algebras at the critical level (2005) (22)
The Cohen-Macaulay property of the category of ( g , K )-modules (1997) (20)
Geometric realizations of Wakimoto modules at the critical level (2006) (19)
DG Indschemes (2011) (19)
Uhlenbeck Spaces for A 2 and Affine Lie Algebra ŝl (2002) (18)
The category of singularities as a crystal and global Springer fibers (2014) (18)
The local and global versions of the Whittaker category (2018) (17)
Algebraic groups over a 2-dimensional local field: Some further constructions (2004) (17)
A toy model for the Drinfeld-Lafforgue shtuka construction (2019) (17)
The stack of local systems with restricted variation and geometric Langlands theory with nilpotent singular support (2020) (16)
A Study in Derived Algebraic Geometry, Part 2: Volume II: Deformations, Lie Theory and Formal Geometry (2017) (15)
On Ginzburg’s lagrangian construction of representations of $GL(n)$ (1999) (15)
Localization of $\hat{\mathfrak{g}}$-modules on the Affine Grassmannian (2009) (14)
The semi-infinite intersection cohomology sheaf (2017) (11)
Notes on Geometric Langlands: ind-coherent sheaves (2011) (11)
The semi-infinite intersection cohomology sheaf-II: the Ran space version (2017) (11)
LOCALIZATION AND THE LONG INTERTWINING OPERATOR FOR REPRESENTATIONS OF AFFINE KAC-MOODY ALGEBRAS (2015) (11)
A Conjectural Extension of the Kazhdan–Lusztig Equivalence (2018) (9)
Geometrie Langlands Correspondence for GLn (2002) (9)
An Iwahori-Whittaker model for the Satake category (2018) (9)
The Cohen-Macaulay property of the category of $ ({\frak g}, K) $-modules (1997) (9)
Existence and Uniqueness of the R-Matrix in Quantum Groups (1995) (9)
From geometric to function-theoretic Langlands (or how to invent shtukas) (2016) (9)
Uhlenbeck Spaces for $\mathbb{A}^2$ and Affine Lie Algebra $\widehat{\mathfrak{sl}}_n$ : Dedicated to Israel M. Gelfand on the occasion of his 90th birthday (2003) (9)
A GENERALIZED VANISHING CONJECTURE (2010) (8)
Algebraic groups over a 2-dimensional local field: Irreducibility of certain induced representations (2004) (8)
Recent progress in geometric Langlands theory (2016) (7)
An analog of the Deligne–Lusztig duality for (g,K)-modules (2018) (7)
A corollary of the b-function lemma (2008) (7)
Metaplectic Whittaker category and quantum groups : the "small" FLE (2019) (7)
Parameterization of factorizable line bundles by K-theory and motivic cohomology (2018) (6)
Hecke operators on quasimaps into horospherical varieties (2004) (6)
ASYMPTOTICS OF GEOMETRIC WHITTAKER COEFFICIENTS (2015) (5)
Quantum geometric Langlands correspondence in positive characteristic : the GLN case by Roman Travkin (2012) (5)
On the Casselman-Jacquet functor (2017) (5)
NOTES ON GEMETRIC LANGLANDS: QUASI-COHERENT SHEAVES ON STACKS (2011) (5)
NOTES ON GEOMETRIC LANGLANDS: STACKS (2012) (5)
Grothendieck topologies and deformation Theory II (1995) (5)
Uhlenbeck spaces for $A^2$ and affine Lie algebra $\hat{sl}_n$ (2002) (5)
On factorization algebras arising in the quantum geometric Langlands theory (2019) (4)
WHAT ACTS ON GEOMETRIC EISENSTEIN SERIES (2011) (4)
NOTES ON GEMETRIC LANGLANDS: CRYSTALS AND D-MODULES (2011) (4)
Acyclic complexes and 1-affineness (2015) (4)
Automorphic functions as the trace of Frobenius (2021) (4)
Appendix: Braiding compatibilities (2004) (4)
Local terms for the categorical trace of Frobenius (2020) (3)
Notes on Geometric Langlands: DG Indschemes (2011) (3)
Operads, Grothendieck topologies and Deformation theory (1995) (3)
Relation between two geometrically defined bases in representations of $GL_n$ (2004) (3)
Duality for automorphic sheaves with nilpotent singular support (2020) (3)
Erratum to: Intersection cohomology of Drinfeld’s compactifications (Sel. math., New ser. 8 (2002), 381–418) (2004) (3)
Eisenstein series and quantum groups (2015) (3)
VALUATIVE CRITERIA OF SEPARATEDNESS AND PROPERNESS (2009) (2)
UNIVERSAL CONSTRUCTIONS OF CRYSTALS: THE CATEGORICAL MEANING OF THE SUGAWARA CONSTRUCTION (2011) (2)
NOTES ON GEOMETRIC LANGLANDS: THE EXTENDED WHITTAKER CATEGORY (2010) (2)
A tribute to Sasha Beilinson (2018) (1)
SEMINAR NOTES: AFFINE GRASSMANNIAN AND THE LOOP GROUP (OCT. 13, 2009) (2009) (1)
SEMINAR NOTES: AFFINE GRASSMANNIAN AND THE LOOP GROUP (OCT. 13, 2009) (2009) (1)
Uhlenbeck spaces for $\Bbb A\sp 2$ and affine Lie algebra $\widehat{\germ s\germ l}\sb n$ (2003) (1)
An analog of the Deligne-Lusztig duality for $(\mathfrak{g},K)$-modules (2017) (1)
Differential Galois groups and algebraic integrability of quantum integrable systems (1996) (1)
Singular support of coherent sheaves and the geometric Langlands conjecture (2014) (0)
The Mathematics of Joseph Bernstein (2016) (0)
A tribute to Sasha Beilinson (2018) (0)
Contractibility of the space of rational maps (2012) (0)
Computing the Trace of Frobenius (2019) (0)
E∞-Structures on l-Adic Cohomology (2019) (0)
ON A THEOREM OF BRADEN (2014) (0)
Geometric constant term functor(s) (2016) (0)
A corollary of the b-function lemma (2011) (0)
Book Review: D-modules, perverse sheaves, and representation theory (2010) (0)
SEMINAR NOTES: QUANTIZATION OF HITCHIN’S INTEGRABLE SYSTEM AND HECKE EIGENSHEAVES (SEPT. 8, 2009) (2009) (0)
SEMINAR NOTES: MAPPING STACKS AND BunG(X) (SEPT. 17, 2009) (2009) (0)
ON THE GEOMETRIC LANGLANDS CONJECTURES (2021) (0)
into Horospherical Varieties (2009) (0)
SEMINAR NOTES: HIGGS BUNDLES, KOSTANT SECTION, AND LOCAL TRIVIALITY OF G-BUNDLES (OCT. 27, 2009) (2009) (0)
FACTORIZABLE GERBES: CORRECTIONS OF THE TALK (2012) (0)
An Introduction to Toric Varieties submitted by Christopher Eur in partial fulfillment of the requirements for the degree of Bachelor of Arts with Honors (2015) (0)
The Formalism of l-adic Sheaves (2019) (0)
Chiral Koszul duality (2011) (0)
A tribute to David Kazhdan (2017) (0)
The Mathematics of Joseph Bernstein (2016) (0)
THE SPRINGER CORRESONDENCE (2008) (0)
LOCAL VS GLOBAL DEFINITION OF THE FUSION TENSOR PRODUCT (2011) (0)
The Trace Formula for BunG(X) (2019) (0)
Introduction (2019) (0)
THE RELATIVE FARGUES-FONTAINE CURVE, PART II (2017) (0)
NOTES ON REPRESENTATIONS OF REAL REDUCTIVE GROUPS MATH 224, SPRING 2017 (2017) (0)
NOTES ON GEMETRIC LANGLANDS: VERDIER DUALITY ON BunG (2010) (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)
Parameters and duality for the metaplectic geometric Langlands theory (2017) (0)
On Some Finiteness Questions for Algebraic Stacks (2013) (0)
Algebras of Koszul Type (1996) (0)

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What Schools Are Affiliated With Dennis Gaitsgory?

Dennis Gaitsgory is affiliated with the following schools:

Dennis Gaitsgory's Academic­Influence.com Rankings