Edit Profile (opens in new tab) Gaitsgory, Dennis Co-Author Distance Author ID: gaitsgory.dennis Published as: Gaitsgory, Dennis; Gaitsgory, D. Further Spellings: Гайцгори Деннис Homepage: http://www.math.harvard.edu/~gaitsgde/ External Links: MGP · Wikidata · Math-Net.Ru · GND · IdRef · theses.fr Awards: EMS Prize (2000) Documents Indexed: 88 Publications since 1995, including 3 Books and 11 Additional arXiv Preprints 2 Contributions as Editor · 2 Further Contributions Biographic References: 1 Publication Co-Authors: 31 Co-Authors with 61 Joint Publications 603 Co-Co-Authors all top 5 Co-Authors 31 single-authored 14 Braverman, Alexander 11 Frenkel, Edward V. 8 Finkelberg, Michael Vladlenovich 8 Kazhdan, David 8 Rozenblyum, Nick 6 Varshavsky, Yakov 5 Arinkin, Dima 5 Mirković, Ivan 4 Bezrukavnikov, Roman 4 Drinfeld, Vladimir Gershonovich 4 Raskin, Sam 4 Vilonen, Kari 3 Arkhipov, Sergey M. 2 Din, Alexander Yom 2 Goncharov, Alexander Borisovich 2 Lysenko, Sergey 2 Nadler, David 1 Beilinson, Alexander A. 1 Bernstein, Joseph 1 Chen, Tsao-Hsien 1 Donagi, Ron Y. 1 Etingof, Pavel Il’ich 1 Fargues, Laurent 1 Francis, John 1 Krylov, Vasily 1 Kuznetsov, Aleksandr Gennad’evich 1 Lurie, Jacob 1 Polishchuk, Alexander Evgen’evich 1 Riche, Simon 1 Rider, Laura 1 Scholze, Peter 1 Vybornov, Maxim all top 5 Serials 12 Selecta Mathematica. New Series 5 Advances in Mathematics 4 Transformation Groups 3 Duke Mathematical Journal 3 Inventiones Mathematicae 3 Journal of the American Mathematical Society 3 Geometric and Functional Analysis. GAFA 3 Annals of Mathematics. Second Series 3 Pure and Applied Mathematics Quarterly 2 Journal of Algebra 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Moscow Mathematical Journal 2 Mathematical Surveys and Monographs 1 Israel Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Journal of Differential Geometry 1 IMRN. International Mathematics Research Notices 1 Bulletin of the American Mathematical Society. New Series 1 Notices of the American Mathematical Society 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Geometry 1 Mathematical Research Letters 1 Documenta Mathematica 1 Representation Theory 1 Oberwolfach Reports 1 Annals of Mathematics Studies 1 Journal of Topology 1 Cambridge Journal of Mathematics 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 61 Algebraic geometry (14-XX) 25 Topological groups, Lie groups (22-XX) 22 Nonassociative rings and algebras (17-XX) 16 Number theory (11-XX) 13 Category theory; homological algebra (18-XX) 10 Group theory and generalizations (20-XX) 6 Quantum theory (81-XX) 4 History and biography (01-XX) 4 Commutative algebra (13-XX) 4 Associative rings and algebras (16-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 76 Publications have been cited 1,439 times in 747 Documents Cited by ▼ Year ▼ A study in derived algebraic geometry. Volume II: Deformations, Lie theory and formal geometry. Zbl 1409.14003 Gaitsgory, Dennis; Rozenblyum, Nick 91 2017 Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type. Zbl 0860.17002 Braverman, Alexander; Gaitsgory, Dennis 81 1996 Construction of central elements in the affine Hecke algebra via nearby cycles. Zbl 1072.14055 Gaitsgory, D. 74 2001 Singular support of coherent sheaves and the geometric Langlands conjecture. Zbl 1423.14085 Arinkin, D.; Gaitsgory, D. 62 2015 A study in derived algebraic geometry. Volume I: Correspondences and duality. Zbl 1408.14001 Gaitsgory, Dennis; Rozenblyum, Nick 52 2017 Geometric Eisenstein series. Zbl 1046.11048 Braverman, A.; Gaitsgory, D. 49 2002 On some finiteness questions for algebraic stacks. Zbl 1272.14005 Drinfeld, Vladimir; Gaitsgory, Dennis 49 2013 The gerbe of Higgs bundles. Zbl 1083.14519 Donagi, R. Y.; Gaitsgory, D. 45 2002 Local geometric Langlands correspondence and affine Kac-Moody algebras. Zbl 1184.17011 Frenkel, Edward; Gaitsgory, Dennis 44 2006 Chiral Koszul duality. Zbl 1248.81198 Francis, John; Gaitsgory, Dennis 38 2012 Uhlenbeck spaces via affine Lie algebras. Zbl 1105.14013 Braverman, Alexander; Finkelberg, Michael; Gaitsgory, Dennis 37 2006 Sheaves of categories and the notion of 1-affineness. Zbl 1346.14004 Gaitsgory, Dennis 33 2015 Crystals via the affine Grassmannian. Zbl 1015.20030 Braverman, Alexander; Gaitsgory, Dennis 33 2001 Ind-coherent sheaves. Zbl 1376.14023 Gaitsgory, Dennis 33 2013 On de Jong’s conjecture. Zbl 1123.11020 Gaitsgory, D. 29 2007 Whittaker patterns in the geometry of moduli spaces of bundles on curves. Zbl 1070.11050 Frenkel, E.; Gaitsgory, D.; Vilonen, K. 27 2001 Crystals and D-modules. Zbl 1327.14013 Gaitsgory, Dennis; Rozenblyum, Nick 26 2014 Outline of the proof of the geometric Langlands conjecture for \(\mathrm{GL}(2)\). Zbl 1406.14008 Gaitsgory, Dennis 26 2015 Weil’s conjecture for function fields: volume I. Zbl 1439.14006 Gaitsgory, Dennis; Lurie, Jacob 26 2019 Differential operators on the loop group via chiral algebras. Zbl 0997.17016 Arkhipov, S.; Gaitsgory, D. 25 2002 Another realization of the category of modules over the small quantum group. Zbl 1025.17004 Arkhipov, Sergey; Gaitsgory, Dennis 25 2003 Intersection cohomology of Drinfeld’s compactifications. Zbl 1031.14019 Braverman, A.; Finkelberg, M.; Gaitsgory, D.; Mirković, I. 25 2002 On a theorem of Braden. Zbl 1314.14039 Drinfeld, V.; Gaitsgory, D. 24 2014 Compact generation of the category of D-modules on the stack of \(G\)-bundles on a curve. Zbl 1342.14041 Drinfeld, V.; Gaitsgory, D. 24 2015 Quantum integrable systems and differential Galois theory. Zbl 0901.58021 Braverman, A.; Etingof, P.; Gaitsgory, D. 22 1997 On a vanishing conjecture appearing in the geometric Langlands correspondence. Zbl 1129.11050 Gaitsgory, D. 22 2004 Twisted Whittaker model and factorizable sheaves. Zbl 1160.17009 Gaitsgory, D. 20 2007 On the geometric Langlands conjecture. Zbl 1071.11039 Frenkel, E.; Gaitsgory, D.; Vilonen, K. 20 2002 \(D\)-modules on the affine Grassmannian and representations of affine Kac-Moody algebras. Zbl 1107.17013 Frenkel, Edward; Gaitsgory, Dennis 19 2004 D-modules on the affine flag variety and representations of affine Kac-Moody algebras. Zbl 1251.17012 Frenkel, Edward; Gaitsgory, Dennis 17 2009 Localization of \(\mathfrak g\)-modules on the affine Grassmannian. Zbl 1202.17009 Frenkel, Edward; Gaitsgory, Dennis 17 2009 Modules over the small quantum group and semi-infinite flag manifold. Zbl 1122.17007 Arkhipov, S.; Bezrukavnikov, R.; Braverman, A.; Gaitsgory, D.; Mirković, I. 17 2005 Geometric constant term functor(s). Zbl 1360.14060 Drinfeld, Vladimir; Gaitsgory, Dennis 17 2016 Contractibility of the space of rational maps. Zbl 1263.14013 Gaitsgory, Dennis 15 2013 Deformations of local systems and Eisenstein series. Zbl 1234.11155 Braverman, Alexander; Gaitsgory, Dennis 14 2008 Parameters and duality for the metaplectic geometric Langlands theory. Zbl 1423.14124 Gaitsgory, D.; Lysenko, S. 13 2018 Notes on 2D conformal field theory and string theory. Zbl 1170.81429 Gaitsgory, Dennis 12 1999 Local geometric Langlands correspondence: the spherical case. Zbl 1192.17012 Frenkel, Edward; Gaitsgory, Dennis 12 2009 Geometric realization of Whittaker functions and the Langlands conjecture. Zbl 1068.11501 Frenkel, E.; Gaitsgory, D.; Kazhdan, D.; Vilonen, K. 12 1998 DG indschemes. Zbl 1316.14006 Gaitsgory, Dennis; Rozenblyum, Nick 12 2014 A “strange” functional equation for Eisenstein series and miraculous duality on the moduli stack of bundles. Zbl 1423.11118 Gaitsgory, Dennis 12 2017 Spherical varieties and Langlands duality. Zbl 1207.22013 Gaitsgory, Dennis; Nadler, David 12 2010 Geometric realizations of Wakimoto modules at the critical level. Zbl 1215.17016 Frenkel, Edward; Gaitsgory, Dennis 11 2008 Weyl modules and opers without monodromy. Zbl 1231.17007 Frenkel, Edward; Gaitsgory, Dennis 11 2010 Functors given by kernels, adjunctions and duality. Zbl 1339.14015 Gaitsgory, Dennis 10 2016 Fusion and convolution: applications to affine Kac-Moody algebras at the critical level. Zbl 1146.17025 Frenkel, Edward; Gaitsgory, Dennis 9 2006 The Cohen-Macaulay property of the category of \(({\mathfrak g},K)\)-modules. Zbl 0973.17012 Bernstein, Joseph; Braverman, Alexander; Gaitsgory, Dennis 9 1997 The semi-infinite intersection cohomology sheaf. Zbl 1509.14039 Gaitsgory, D. 9 2018 Informal introduction to geometric Langlands. Zbl 1111.11308 Gaitsgory, D. 8 2003 On Ginzburg’s Lagrangian construction of representations of \(\text{GL}(n)\). Zbl 0971.22010 Braverman, Alexander; Gaitsgory, Dennis 8 1999 The category of singularities as a crystal and global Springer fibers. Zbl 1388.14042 Arinkin, D.; Gaitsgory, D. 8 2018 An Iwahori-Whittaker model for the Satake category. (Un modèle d’Iwahori-Whittaker pour la catégorie de Satake.) Zbl 1481.14024 Bezrukavnikov, Roman; Gaitsgory, Dennis; Mirković, Ivan; Riche, Simon; Rider, Laura 8 2019 The local and global versions of the Whittaker category. Zbl 1460.14033 Gaitsgory, Dennis 8 2020 Representations of algebraic groups over a 2-dimensional local field. Zbl 1055.22014 Gaitsgory, D.; Kazhdan, D. 7 2004 Geometric Langlands correspondence for \(\text{GL}_n\). Zbl 1061.11033 Gaitsgory, D. 7 2002 Uhlenbeck spaces for \(\mathbb{A}^2\) and affine Lie algebra \(\widehat {\mathfrak {sl}}_n\). Zbl 1101.14014 Finkelberg, Michael; Gaitsgory, Dennis; Kuznetsov, Alexander 6 2003 Appendix: Braiding compatibilities. Zbl 1147.14006 Gaitsgory, Dennis 6 2004 Eisenstein series and quantum groups. Zbl 1411.14020 Gaitsgory, D. 6 2016 Recent progress in geometric Langlands theory. (Progrès récents dans la théorie de Langlands géométrique.) Zbl 1400.14037 Gaitsgory, Dennis 6 2017 Grothendieck topologies and deformation theory. II. Zbl 0894.18007 Gaitsgory, D. 4 1997 On the Casselman-Jacquet functor. Zbl 1468.14041 Chen, Tsao-Hsien; Gaitsgory, Dennis; Yom Din, Alexander 4 2019 An analog of the Deligne-Lusztig duality for \((\mathfrak{g}, K)\)-modules. Zbl 1443.14019 Gaitsgory, Dennis; Yom Din, Alexander 4 2018 Relation between two geometrically defined bases in representations of \(\mathrm{GL}_n\). Zbl 1135.22017 Braverman, A.; Gaitsgory, D.; Vybornov, M. 3 2007 Existence and uniqueness of the \(R\)-matrix in quantum groups. Zbl 0843.17006 Gaitsgory, D. 3 1995 Erratum to: Intersection cohomology of Drinfeld’s compactifications. Zbl 1063.14503 Braverman, A.; Finkelberg, M.; Gaitsgory, D.; Mirković, I 3 2004 Parameterization of factorizable line bundles by \(K\)-theory and motivic cohomology. Zbl 1454.14061 Gaitsgory, Dennis 3 2020 A toy model for the Drinfeld-Lafforgue shtuka construction. Zbl 07478434 Gaitsgory, D.; Kazhdan, D.; Rozenblyum, N.; Varshavsky, Y. 3 2022 Algebraic groups over a 2-dimensional local field: some further constructions. Zbl 1100.22005 Gaitsgory, Dennis; Kazhdan, David 2 2006 A corollary of the b-function lemma. Zbl 1252.32016 Beilinson, A.; Gaitsgory, D. 2 2012 A conjectural extension of the Kazhdan-Lusztig equivalence. Zbl 1492.17016 Gaitsgory, Dennis 2 2021 Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and geometric Satake equivalence. With an appendix by Dennis Gaitsgory. Zbl 1505.14103 Finkelberg, Michael; Krylov, Vasily; Mirković, Ivan 2 2020 On factorization algebras arising in the quantum geometric Langlands theory. Zbl 07408031 Gaitsgory, D. 2 2021 Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations. Zbl 1094.22002 Gaitsgory, Dennis; Kazhdan, David 1 2005 Hecke operators on quasimaps into horospherical varieties. Zbl 1169.22006 Gaitsgory, Dennis; Nadler, David 1 2009 Book review of: Ryoshi Hotta, Kiyoshi Takeuchi and Toshiyuki Tanisaki, \(D\)-modules, perverse sheaves, and representation theory. Zbl 1292.00026 Gaitsgory, Dennis 1 2010 The semi-infinite intersection cohomology sheaf. II: the Ran space version. Zbl 1497.14036 Gaitsgory, Dennis 1 2022 A toy model for the Drinfeld-Lafforgue shtuka construction. Zbl 07478434 Gaitsgory, D.; Kazhdan, D.; Rozenblyum, N.; Varshavsky, Y. 3 2022 The semi-infinite intersection cohomology sheaf. II: the Ran space version. Zbl 1497.14036 Gaitsgory, Dennis 1 2022 A conjectural extension of the Kazhdan-Lusztig equivalence. Zbl 1492.17016 Gaitsgory, Dennis 2 2021 On factorization algebras arising in the quantum geometric Langlands theory. Zbl 07408031 Gaitsgory, D. 2 2021 The local and global versions of the Whittaker category. Zbl 1460.14033 Gaitsgory, Dennis 8 2020 Parameterization of factorizable line bundles by \(K\)-theory and motivic cohomology. Zbl 1454.14061 Gaitsgory, Dennis 3 2020 Drinfeld-Gaitsgory-Vinberg interpolation Grassmannian and geometric Satake equivalence. With an appendix by Dennis Gaitsgory. Zbl 1505.14103 Finkelberg, Michael; Krylov, Vasily; Mirković, Ivan 2 2020 Weil’s conjecture for function fields: volume I. Zbl 1439.14006 Gaitsgory, Dennis; Lurie, Jacob 26 2019 An Iwahori-Whittaker model for the Satake category. (Un modèle d’Iwahori-Whittaker pour la catégorie de Satake.) Zbl 1481.14024 Bezrukavnikov, Roman; Gaitsgory, Dennis; Mirković, Ivan; Riche, Simon; Rider, Laura 8 2019 On the Casselman-Jacquet functor. Zbl 1468.14041 Chen, Tsao-Hsien; Gaitsgory, Dennis; Yom Din, Alexander 4 2019 Parameters and duality for the metaplectic geometric Langlands theory. Zbl 1423.14124 Gaitsgory, D.; Lysenko, S. 13 2018 The semi-infinite intersection cohomology sheaf. Zbl 1509.14039 Gaitsgory, D. 9 2018 The category of singularities as a crystal and global Springer fibers. Zbl 1388.14042 Arinkin, D.; Gaitsgory, D. 8 2018 An analog of the Deligne-Lusztig duality for \((\mathfrak{g}, K)\)-modules. Zbl 1443.14019 Gaitsgory, Dennis; Yom Din, Alexander 4 2018 A study in derived algebraic geometry. Volume II: Deformations, Lie theory and formal geometry. Zbl 1409.14003 Gaitsgory, Dennis; Rozenblyum, Nick 91 2017 A study in derived algebraic geometry. Volume I: Correspondences and duality. Zbl 1408.14001 Gaitsgory, Dennis; Rozenblyum, Nick 52 2017 A “strange” functional equation for Eisenstein series and miraculous duality on the moduli stack of bundles. Zbl 1423.11118 Gaitsgory, Dennis 12 2017 Recent progress in geometric Langlands theory. (Progrès récents dans la théorie de Langlands géométrique.) Zbl 1400.14037 Gaitsgory, Dennis 6 2017 Geometric constant term functor(s). Zbl 1360.14060 Drinfeld, Vladimir; Gaitsgory, Dennis 17 2016 Functors given by kernels, adjunctions and duality. Zbl 1339.14015 Gaitsgory, Dennis 10 2016 Eisenstein series and quantum groups. Zbl 1411.14020 Gaitsgory, D. 6 2016 Singular support of coherent sheaves and the geometric Langlands conjecture. Zbl 1423.14085 Arinkin, D.; Gaitsgory, D. 62 2015 Sheaves of categories and the notion of 1-affineness. Zbl 1346.14004 Gaitsgory, Dennis 33 2015 Outline of the proof of the geometric Langlands conjecture for \(\mathrm{GL}(2)\). Zbl 1406.14008 Gaitsgory, Dennis 26 2015 Compact generation of the category of D-modules on the stack of \(G\)-bundles on a curve. Zbl 1342.14041 Drinfeld, V.; Gaitsgory, D. 24 2015 Crystals and D-modules. Zbl 1327.14013 Gaitsgory, Dennis; Rozenblyum, Nick 26 2014 On a theorem of Braden. Zbl 1314.14039 Drinfeld, V.; Gaitsgory, D. 24 2014 DG indschemes. Zbl 1316.14006 Gaitsgory, Dennis; Rozenblyum, Nick 12 2014 On some finiteness questions for algebraic stacks. Zbl 1272.14005 Drinfeld, Vladimir; Gaitsgory, Dennis 49 2013 Ind-coherent sheaves. Zbl 1376.14023 Gaitsgory, Dennis 33 2013 Contractibility of the space of rational maps. Zbl 1263.14013 Gaitsgory, Dennis 15 2013 Chiral Koszul duality. Zbl 1248.81198 Francis, John; Gaitsgory, Dennis 38 2012 A corollary of the b-function lemma. Zbl 1252.32016 Beilinson, A.; Gaitsgory, D. 2 2012 Spherical varieties and Langlands duality. Zbl 1207.22013 Gaitsgory, Dennis; Nadler, David 12 2010 Weyl modules and opers without monodromy. Zbl 1231.17007 Frenkel, Edward; Gaitsgory, Dennis 11 2010 Book review of: Ryoshi Hotta, Kiyoshi Takeuchi and Toshiyuki Tanisaki, \(D\)-modules, perverse sheaves, and representation theory. Zbl 1292.00026 Gaitsgory, Dennis 1 2010 D-modules on the affine flag variety and representations of affine Kac-Moody algebras. Zbl 1251.17012 Frenkel, Edward; Gaitsgory, Dennis 17 2009 Localization of \(\mathfrak g\)-modules on the affine Grassmannian. Zbl 1202.17009 Frenkel, Edward; Gaitsgory, Dennis 17 2009 Local geometric Langlands correspondence: the spherical case. Zbl 1192.17012 Frenkel, Edward; Gaitsgory, Dennis 12 2009 Hecke operators on quasimaps into horospherical varieties. Zbl 1169.22006 Gaitsgory, Dennis; Nadler, David 1 2009 Deformations of local systems and Eisenstein series. Zbl 1234.11155 Braverman, Alexander; Gaitsgory, Dennis 14 2008 Geometric realizations of Wakimoto modules at the critical level. Zbl 1215.17016 Frenkel, Edward; Gaitsgory, Dennis 11 2008 On de Jong’s conjecture. Zbl 1123.11020 Gaitsgory, D. 29 2007 Twisted Whittaker model and factorizable sheaves. Zbl 1160.17009 Gaitsgory, D. 20 2007 Relation between two geometrically defined bases in representations of \(\mathrm{GL}_n\). Zbl 1135.22017 Braverman, A.; Gaitsgory, D.; Vybornov, M. 3 2007 Local geometric Langlands correspondence and affine Kac-Moody algebras. Zbl 1184.17011 Frenkel, Edward; Gaitsgory, Dennis 44 2006 Uhlenbeck spaces via affine Lie algebras. Zbl 1105.14013 Braverman, Alexander; Finkelberg, Michael; Gaitsgory, Dennis 37 2006 Fusion and convolution: applications to affine Kac-Moody algebras at the critical level. Zbl 1146.17025 Frenkel, Edward; Gaitsgory, Dennis 9 2006 Algebraic groups over a 2-dimensional local field: some further constructions. Zbl 1100.22005 Gaitsgory, Dennis; Kazhdan, David 2 2006 Modules over the small quantum group and semi-infinite flag manifold. Zbl 1122.17007 Arkhipov, S.; Bezrukavnikov, R.; Braverman, A.; Gaitsgory, D.; Mirković, I. 17 2005 Algebraic groups over a 2-dimensional local field: irreducibility of certain induced representations. Zbl 1094.22002 Gaitsgory, Dennis; Kazhdan, David 1 2005 On a vanishing conjecture appearing in the geometric Langlands correspondence. Zbl 1129.11050 Gaitsgory, D. 22 2004 \(D\)-modules on the affine Grassmannian and representations of affine Kac-Moody algebras. Zbl 1107.17013 Frenkel, Edward; Gaitsgory, Dennis 19 2004 Representations of algebraic groups over a 2-dimensional local field. Zbl 1055.22014 Gaitsgory, D.; Kazhdan, D. 7 2004 Appendix: Braiding compatibilities. Zbl 1147.14006 Gaitsgory, Dennis 6 2004 Erratum to: Intersection cohomology of Drinfeld’s compactifications. Zbl 1063.14503 Braverman, A.; Finkelberg, M.; Gaitsgory, D.; Mirković, I 3 2004 Another realization of the category of modules over the small quantum group. Zbl 1025.17004 Arkhipov, Sergey; Gaitsgory, Dennis 25 2003 Informal introduction to geometric Langlands. Zbl 1111.11308 Gaitsgory, D. 8 2003 Uhlenbeck spaces for \(\mathbb{A}^2\) and affine Lie algebra \(\widehat {\mathfrak {sl}}_n\). Zbl 1101.14014 Finkelberg, Michael; Gaitsgory, Dennis; Kuznetsov, Alexander 6 2003 Geometric Eisenstein series. Zbl 1046.11048 Braverman, A.; Gaitsgory, D. 49 2002 The gerbe of Higgs bundles. Zbl 1083.14519 Donagi, R. Y.; Gaitsgory, D. 45 2002 Differential operators on the loop group via chiral algebras. Zbl 0997.17016 Arkhipov, S.; Gaitsgory, D. 25 2002 Intersection cohomology of Drinfeld’s compactifications. Zbl 1031.14019 Braverman, A.; Finkelberg, M.; Gaitsgory, D.; Mirković, I. 25 2002 On the geometric Langlands conjecture. Zbl 1071.11039 Frenkel, E.; Gaitsgory, D.; Vilonen, K. 20 2002 Geometric Langlands correspondence for \(\text{GL}_n\). Zbl 1061.11033 Gaitsgory, D. 7 2002 Construction of central elements in the affine Hecke algebra via nearby cycles. Zbl 1072.14055 Gaitsgory, D. 74 2001 Crystals via the affine Grassmannian. Zbl 1015.20030 Braverman, Alexander; Gaitsgory, Dennis 33 2001 Whittaker patterns in the geometry of moduli spaces of bundles on curves. Zbl 1070.11050 Frenkel, E.; Gaitsgory, D.; Vilonen, K. 27 2001 Notes on 2D conformal field theory and string theory. Zbl 1170.81429 Gaitsgory, Dennis 12 1999 On Ginzburg’s Lagrangian construction of representations of \(\text{GL}(n)\). Zbl 0971.22010 Braverman, Alexander; Gaitsgory, Dennis 8 1999 Geometric realization of Whittaker functions and the Langlands conjecture. Zbl 1068.11501 Frenkel, E.; Gaitsgory, D.; Kazhdan, D.; Vilonen, K. 12 1998 Quantum integrable systems and differential Galois theory. Zbl 0901.58021 Braverman, A.; Etingof, P.; Gaitsgory, D. 22 1997 The Cohen-Macaulay property of the category of \(({\mathfrak g},K)\)-modules. Zbl 0973.17012 Bernstein, Joseph; Braverman, Alexander; Gaitsgory, Dennis 9 1997 Grothendieck topologies and deformation theory. II. Zbl 0894.18007 Gaitsgory, D. 4 1997 Poincaré-Birkhoff-Witt theorem for quadratic algebras of Koszul type. Zbl 0860.17002 Braverman, Alexander; Gaitsgory, Dennis 81 1996 Existence and uniqueness of the \(R\)-matrix in quantum groups. Zbl 0843.17006 Gaitsgory, D. 3 1995 all cited Publications top 5 cited Publications all top 5 Cited by 724 Authors 29 Gaitsgory, Dennis 22 Frenkel, Edward V. 18 Finkelberg, Michael Vladlenovich 14 Bezrukavnikov, Roman 13 Arakawa, Tomoyuki 13 Braverman, Alexander 11 Lysenko, Sergey 10 Raskin, Sam 10 Riche, Simon 9 Kazhdan, David 9 Nadler, David 9 Yun, Zhiwei 8 Ginzburg, Victor 8 Haugseng, Rune 8 Richarz, Timo 7 Ben-Zvi, David 7 Creutzig, Thomas 7 Feĭgin, Boris L’vovich 7 Haines, Thomas J. 7 Kamgarpour, Masoud 7 Kamnitzer, Joel 7 Kapranov, Mikhail M. 7 Ngô Bao Châu 7 Toën, Bertrand 7 Zhu, Xinwen 6 Beraldo, Dario 6 Biswas, Indranil 6 Drinfeld, Vladimir Gershonovich 6 Etingof, Pavel Il’ich 6 Francis, John 6 Safronov, Pavel 6 Scholbach, Jakob 6 Vasserot, Eric 6 Witherspoon, Sarah J. 5 Achar, Pramod N. 5 Ardizzoni, Alessandro 5 Ayala, David 5 Baumann, Pierre 5 Chen, Tsao-Hsien 5 Dhillon, Gurbir 5 Din, Alexander Yom 5 Gaiotto, Davide 5 Görtz, Ulrich 5 Kato, Syu 5 Khan, Adeel A. 5 Kuznetsov, Aleksandr Gennad’evich 5 Malikov, Fyodor 5 Mirković, Ivan 5 Naito, Satoshi 5 Rybnikov, Leonid Grigor’evich 5 Sagaki, Daisuke 5 Sibilla, Nicolò 5 Vezzosi, Gabriele 4 Campbell, Justin 4 Choy, Jaeyoo 4 García-Prada, Oscar 4 Halpern-Leistner, Daniel 4 He, Jiwei 4 Heinloth, Jochen 4 Ho, Quoc P. 4 Nuiten, Joost Jakob 4 Pappas, Georgios 4 Peón Nieto, Ana 4 Perry, Alexander R. 4 Schechtman, Vadim 4 Scherotzke, Sarah 4 Shepler, Anne V. 4 Zheglov, Alexander B. 3 Arinkin, Dima 3 Arkhipov, Sergey M. 3 Beem, Christopher 3 Böckle, Gebhard 3 Brav, Christopher 3 Brundan, Jonathan 3 Dalakov, Peter 3 Decoppet, Thibault D. 3 Dubois-Violette, Michel 3 Elmanto, Elden 3 Fiebig, Peter 3 Gallauer, Martin 3 Grant, Joseph 3 Gurevich, Dmitrii 3 Hall, Jack 3 Harper, John E. 3 Heuts, Gijs 3 Hinich, Vladimir 3 Hoyois, Marc 3 Kartal, Yusuf Barış 3 Kasman, Alex 3 Khare, Chandrashekhar 3 Lafforgue, Vincent 3 Laumon, Gérard 3 Moulinos, Tasos 3 Muthiah, Dinakar 3 Nakajima, Hiraku 3 Negron, Cris 3 Oblomkov, Alexei A. 3 Ostrik, Victor Valentinovich 3 Ovchinnikov, Alexey Igorevich 3 Pădurariu, Tudor ...and 624 more Authors all top 5 Cited in 121 Serials 92 Advances in Mathematics 50 Selecta Mathematica. New Series 46 Journal of Algebra 36 Compositio Mathematica 31 Duke Mathematical Journal 22 Representation Theory 21 Communications in Mathematical Physics 21 Inventiones Mathematicae 21 Journal of the American Mathematical Society 16 Transactions of the American Mathematical Society 15 Journal of Geometry and Physics 14 Israel Journal of Mathematics 14 Transformation Groups 13 Annals of Mathematics. Second Series 11 Mathematische Zeitschrift 10 Letters in Mathematical Physics 10 Geometry & Topology 10 Journal of the Institute of Mathematics of Jussieu 9 Journal of Algebraic Geometry 9 Algebras and Representation Theory 9 Journal of the European Mathematical Society (JEMS) 9 Journal of High Energy Physics 9 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 8 Communications in Algebra 8 Publications Mathématiques 8 Mathematische Annalen 8 Forum of Mathematics, Sigma 7 Oberwolfach Reports 6 Journal of Pure and Applied Algebra 6 Journal für die Reine und Angewandte Mathematik 6 Algebra & Number Theory 5 Annales de l’Institut Fourier 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Geometric and Functional Analysis. GAFA 5 Bulletin of the American Mathematical Society. New Series 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Higher Structures 4 Bulletin of the London Mathematical Society 4 Manuscripta Mathematica 4 Journal of Noncommutative Geometry 4 Journal of Homotopy and Related Structures 3 Journal of Mathematical Physics 3 Nuclear Physics. B 3 Functional Analysis and its Applications 3 Journal of the London Mathematical Society. Second Series 3 Memoirs of the American Mathematical Society 3 Proceedings of the American Mathematical Society 3 Documenta Mathematica 3 Annales Henri Poincaré 3 Journal of Topology 3 Japanese Journal of Mathematics. 3rd Series 3 Journal of Singularities 3 Journal de l’École Polytechnique – Mathématiques 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Mathematical Analysis and Applications 2 Glasgow Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Transactions of the Moscow Mathematical Society 2 International Journal of Mathematics 2 Journal of Algebraic Combinatorics 2 Applied Categorical Structures 2 Algebra Colloquium 2 St. Petersburg Mathematical Journal 2 Advances in Applied Clifford Algebras 2 Journal of Lie Theory 2 The Journal of Fourier Analysis and Applications 2 Acta Mathematica Sinica. English Series 2 Journal of Nonlinear Mathematical Physics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 EMS Surveys in Mathematical Sciences 2 European Journal of Mathematics 2 Annals of \(K\)-Theory 2 Annales Henri Lebesgue 1 International Journal of Modern Physics A 1 Mathematical Notes 1 Russian Mathematical Surveys 1 Theoretical and Mathematical Physics 1 Reviews in Mathematical Physics 1 Acta Mathematica Vietnamica 1 Bulletin de la Société Mathématique de France 1 Czechoslovak Mathematical Journal 1 Functiones et Approximatio. Commentarii Mathematici 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the Indian Institute of Science 1 Journal of Number Theory 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Physica D 1 SIAM Journal on Matrix Analysis and Applications 1 Forum Mathematicum 1 Science in China. Series A 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Indagationes Mathematicae. New Series ...and 21 more Serials all top 5 Cited in 44 Fields 436 Algebraic geometry (14-XX) 199 Nonassociative rings and algebras (17-XX) 153 Category theory; homological algebra (18-XX) 130 Group theory and generalizations (20-XX) 121 Topological groups, Lie groups (22-XX) 119 Associative rings and algebras (16-XX) 100 Number theory (11-XX) 87 Quantum theory (81-XX) 50 Differential geometry (53-XX) 50 Algebraic topology (55-XX) 39 \(K\)-theory (19-XX) 38 Several complex variables and analytic spaces (32-XX) 31 Commutative algebra (13-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Combinatorics (05-XX) 19 Manifolds and cell complexes (57-XX) 19 Global analysis, analysis on manifolds (58-XX) 12 Partial differential equations (35-XX) 11 Field theory and polynomials (12-XX) 9 Special functions (33-XX) 8 General and overarching topics; collections (00-XX) 7 Ordinary differential equations (34-XX) 6 Functional analysis (46-XX) 6 Geometry (51-XX) 4 Operator theory (47-XX) 4 Convex and discrete geometry (52-XX) 4 Relativity and gravitational theory (83-XX) 3 General algebraic systems (08-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 2 History and biography (01-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Potential theory (31-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.