Edit Profile (opens in new tab) Vilonen, Kari Co-Author Distance Author ID: vilonen.kari Published as: Vilonen, Kari; Vilonen, K. External Links: MGP · Wikidata Documents Indexed: 50 Publications since 1984, including 8 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 21 Co-Authors with 47 Joint Publications 507 Co-Co-Authors all top 5 Co-Authors 4 single-authored 12 Xue, Ting 10 Schmid, Wilfried 6 Mirković, Ivan 5 MacPherson, Robert Duncan 4 Chen, Tsao-Hsien 4 Gaitsgory, Dennis 3 Davis, Dougal 3 Frenkel, Edward V. 2 Gel’fand, Sergeĭ Izrail’evich 2 Grinberg, Mikhail 2 Kashiwara, Masaki 1 Bezrukavnikov, Roman 1 Emerton, Matthew 1 Fargues, Laurent 1 Kazhdan, David 1 Mirollo, Renato E. 1 Nadler, David 1 Scholze, Peter 1 Taskinen, Jari 1 Uzawa, Tohru 1 Williamson, Geordie all top 5 Serials 6 Inventiones Mathematicae 5 Annals of Mathematics. Second Series 3 Transactions of the American Mathematical Society 3 Journal of the American Mathematical Society 3 Mathematical Research Letters 2 Advances in Mathematics 2 Duke Mathematical Journal 2 Representation Theory 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Proceedings of the Japan Academy. Series A 1 The Journal of Geometric Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Documenta Mathematica 1 The Asian Journal of Mathematics 1 Oberwolfach Reports all top 5 Fields 29 Algebraic geometry (14-XX) 27 Topological groups, Lie groups (22-XX) 15 Several complex variables and analytic spaces (32-XX) 9 Group theory and generalizations (20-XX) 6 Category theory; homological algebra (18-XX) 5 Nonassociative rings and algebras (17-XX) 4 Number theory (11-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Partial differential equations (35-XX) 3 Differential geometry (53-XX) 2 Associative rings and algebras (16-XX) 2 Algebraic topology (55-XX) 1 General and overarching topics; collections (00-XX) 1 Dynamical systems and ergodic theory (37-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 666 times in 478 Documents Cited by ▼ Year ▼ Geometric Langlands duality and representations of algebraic groups over commutative rings. Zbl 1138.22013 Mirković, I.; Vilonen, K. 199 2007 Elementary construction of perverse sheaves. Zbl 0597.18005 MacPherson, Robert; Vilonen, Kari 82 1986 Perverse sheaves on affine Grassmannians and Langlands duality. Zbl 0987.14015 Mirković, Ivan; Vilonen, Kari 44 2000 Characteristic cycles and wave front cycles of representations of reductive Lie groups. Zbl 0960.22009 Schmid, Wilfried; Vilonen, Kari 32 2000 Characteristic cycles of constructible sheaves. Zbl 0851.32011 Schmid, Wilfried; Vilonen, Kari 28 1996 Perverse sheaves and quivers. Zbl 0861.32022 Gelfand, Sergei; MacPherson, Robert; Vilonen, Kari 28 1996 Whittaker patterns in the geometry of moduli spaces of bundles on curves. Zbl 1070.11050 Frenkel, E.; Gaitsgory, D.; Vilonen, K. 27 2001 Characteristic varieties of character sheaves. Zbl 0683.22012 Mirković, I.; Vilonen, K. 25 1988 On the geometric Langlands conjecture. Zbl 1071.11039 Frenkel, E.; Gaitsgory, D.; Vilonen, K. 20 2002 Matsuki correspondence for sheaves. Zbl 0789.53033 Mirković, I.; Uzawa, T.; Vilonen, K. 18 1992 Perverse sheaves with singularities along the curve \(y^ n=x^ m\). Zbl 0638.32014 MacPherson, Robert; Vilonen, Kari 16 1988 Two geometric character formulas for reductive Lie groups. Zbl 0976.22010 Schmid, Wilfried; Vilonen, Kari 13 1998 Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves. Zbl 0651.14010 Mirollo, R.; Vilonen, K. 12 1987 Geometric realization of Whittaker functions and the Langlands conjecture. Zbl 1068.11501 Frenkel, E.; Gaitsgory, D.; Kazhdan, D.; Vilonen, K. 12 1998 Perverse sheaves and finite dimensional algebras. Zbl 0811.14016 Vilonen, K. 12 1994 Springer correspondence for the split symmetric pair in type \(A\). Zbl 1490.20032 Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting 11 2018 A geometric Jacquet functor. Zbl 1134.22300 Emerton, M.; Nadler, D.; Vilonen, K. 8 2004 Intersection homology \({\mathcal D}\)-module on local complete intersections with isolated singularities. Zbl 0578.14018 Vilonen, K. 7 1985 Construction élémentaire des faisceaux pervers. (Elementary construction of perverse sheaves). Zbl 0581.14013 MacPherson, Robert; Vilonen, Kari 6 1984 Character sheaves for classical symmetric pairs. Zbl 1527.20077 Vilonen, Kari; Xue, Ting 6 2022 Characteristic cycles and decomposition numbers. Zbl 1297.14010 Vilonen, Kari; Williamson, Geordie 6 2013 Microdifferential systems and the codimension-three conjecture. Zbl 1304.32007 Kashiwara, Masaki; Vilonen, Kari 5 2014 Hessenberg varieties, intersections of quadrics, and the Springer correspondence. Zbl 1454.14118 Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting 5 2020 Erratum for “Geometric Langlands duality and representations of algebraic groups over commutative rings”. Zbl 1400.22015 Mirković, I.; Vilonen, Kari 5 2018 On the cohomology of Fano varieties and the Springer correspondence. Zbl 1401.14179 Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting 4 2017 On the geometry of nilpotent orbits. Zbl 0956.22007 Schmid, Wilfried; Vilonen, Kari 4 1999 Nearby cycle sheaves for symmetric pairs. Zbl 1528.22011 Grinberg, Mikhail; Vilonen, Kari; Xue, Ting 4 2023 Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties. Zbl 1467.14115 Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting 4 2020 Characters, fixed points and Osborne’s conjecture. Zbl 0811.22006 Schmid, W.; Vilonen, K. 3 1993 The null-cone and cohomology of vector bundles on flag varieties. Zbl 1391.14101 Vilonen, Kari; Xue, Ting 3 2016 Character sheaves for symmetric pairs: special linear groups. Zbl 1520.20101 Vilonen, Kari; Xue, Ting 3 2023 On the codimension-three conjecture. Zbl 1225.32018 Kashiwara, Masaki; Vilonen, Kari 2 2010 Weyl group actions on Lagrangian cycles and Rossmann’s formula. Zbl 0835.22013 Schmid, W.; Vilonen, K. 2 1994 Characters, characteristic cycles, and nilpotent orbits. Zbl 0865.22008 Schmid, Wilfried; Vilonen, Kari 2 1995 Koszul duality for quasi-split real groups. Zbl 1484.14023 Bezrukavnikov, Roman; Vilonen, Kari 2 2021 Hodge theory and unitary representations of reductive Lie groups. Zbl 1523.22017 Schmid, Wilfried; Vilonen, Kari 2 2011 Character sheaves for graded Lie algebras: stable gradings. Zbl 1528.17022 Vilonen, Kari; Xue, Ting 2 2023 On the geometry of nilpotent orbits. Zbl 1051.22003 Schmid, Wilfried; Vilonen, Kari 1 2000 Hodge theory and unitary representations. Zbl 1342.22028 Schmid, Wilfried; Vilonen, Kari 1 2015 Nearby cycle sheaves for symmetric pairs. Zbl 1528.22011 Grinberg, Mikhail; Vilonen, Kari; Xue, Ting 4 2023 Character sheaves for symmetric pairs: special linear groups. Zbl 1520.20101 Vilonen, Kari; Xue, Ting 3 2023 Character sheaves for graded Lie algebras: stable gradings. Zbl 1528.17022 Vilonen, Kari; Xue, Ting 2 2023 Character sheaves for classical symmetric pairs. Zbl 1527.20077 Vilonen, Kari; Xue, Ting 6 2022 Koszul duality for quasi-split real groups. Zbl 1484.14023 Bezrukavnikov, Roman; Vilonen, Kari 2 2021 Hessenberg varieties, intersections of quadrics, and the Springer correspondence. Zbl 1454.14118 Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting 5 2020 Springer correspondence, hyperelliptic curves, and cohomology of Fano varieties. Zbl 1467.14115 Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting 4 2020 Springer correspondence for the split symmetric pair in type \(A\). Zbl 1490.20032 Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting 11 2018 Erratum for “Geometric Langlands duality and representations of algebraic groups over commutative rings”. Zbl 1400.22015 Mirković, I.; Vilonen, Kari 5 2018 On the cohomology of Fano varieties and the Springer correspondence. Zbl 1401.14179 Chen, Tsao-Hsien; Vilonen, Kari; Xue, Ting 4 2017 The null-cone and cohomology of vector bundles on flag varieties. Zbl 1391.14101 Vilonen, Kari; Xue, Ting 3 2016 Hodge theory and unitary representations. Zbl 1342.22028 Schmid, Wilfried; Vilonen, Kari 1 2015 Microdifferential systems and the codimension-three conjecture. Zbl 1304.32007 Kashiwara, Masaki; Vilonen, Kari 5 2014 Characteristic cycles and decomposition numbers. Zbl 1297.14010 Vilonen, Kari; Williamson, Geordie 6 2013 Hodge theory and unitary representations of reductive Lie groups. Zbl 1523.22017 Schmid, Wilfried; Vilonen, Kari 2 2011 On the codimension-three conjecture. Zbl 1225.32018 Kashiwara, Masaki; Vilonen, Kari 2 2010 Geometric Langlands duality and representations of algebraic groups over commutative rings. Zbl 1138.22013 Mirković, I.; Vilonen, K. 199 2007 A geometric Jacquet functor. Zbl 1134.22300 Emerton, M.; Nadler, D.; Vilonen, K. 8 2004 On the geometric Langlands conjecture. Zbl 1071.11039 Frenkel, E.; Gaitsgory, D.; Vilonen, K. 20 2002 Whittaker patterns in the geometry of moduli spaces of bundles on curves. Zbl 1070.11050 Frenkel, E.; Gaitsgory, D.; Vilonen, K. 27 2001 Perverse sheaves on affine Grassmannians and Langlands duality. Zbl 0987.14015 Mirković, Ivan; Vilonen, Kari 44 2000 Characteristic cycles and wave front cycles of representations of reductive Lie groups. Zbl 0960.22009 Schmid, Wilfried; Vilonen, Kari 32 2000 On the geometry of nilpotent orbits. Zbl 1051.22003 Schmid, Wilfried; Vilonen, Kari 1 2000 On the geometry of nilpotent orbits. Zbl 0956.22007 Schmid, Wilfried; Vilonen, Kari 4 1999 Two geometric character formulas for reductive Lie groups. Zbl 0976.22010 Schmid, Wilfried; Vilonen, Kari 13 1998 Geometric realization of Whittaker functions and the Langlands conjecture. Zbl 1068.11501 Frenkel, E.; Gaitsgory, D.; Kazhdan, D.; Vilonen, K. 12 1998 Characteristic cycles of constructible sheaves. Zbl 0851.32011 Schmid, Wilfried; Vilonen, Kari 28 1996 Perverse sheaves and quivers. Zbl 0861.32022 Gelfand, Sergei; MacPherson, Robert; Vilonen, Kari 28 1996 Characters, characteristic cycles, and nilpotent orbits. Zbl 0865.22008 Schmid, Wilfried; Vilonen, Kari 2 1995 Perverse sheaves and finite dimensional algebras. Zbl 0811.14016 Vilonen, K. 12 1994 Weyl group actions on Lagrangian cycles and Rossmann’s formula. Zbl 0835.22013 Schmid, W.; Vilonen, K. 2 1994 Characters, fixed points and Osborne’s conjecture. Zbl 0811.22006 Schmid, W.; Vilonen, K. 3 1993 Matsuki correspondence for sheaves. Zbl 0789.53033 Mirković, I.; Uzawa, T.; Vilonen, K. 18 1992 Characteristic varieties of character sheaves. Zbl 0683.22012 Mirković, I.; Vilonen, K. 25 1988 Perverse sheaves with singularities along the curve \(y^ n=x^ m\). Zbl 0638.32014 MacPherson, Robert; Vilonen, Kari 16 1988 Bernstein-Gelfand-Gelfand reciprocity on perverse sheaves. Zbl 0651.14010 Mirollo, R.; Vilonen, K. 12 1987 Elementary construction of perverse sheaves. Zbl 0597.18005 MacPherson, Robert; Vilonen, Kari 82 1986 Intersection homology \({\mathcal D}\)-module on local complete intersections with isolated singularities. Zbl 0578.14018 Vilonen, K. 7 1985 Construction élémentaire des faisceaux pervers. (Elementary construction of perverse sheaves). Zbl 0581.14013 MacPherson, Robert; Vilonen, Kari 6 1984 all cited Publications top 5 cited Publications all top 5 Cited by 437 Authors 18 Vilonen, Kari 14 Gaitsgory, Dennis 13 Kamnitzer, Joel 12 Riche, Simon 11 Frenkel, Edward V. 11 Nang, Philibert 11 Williamson, Geordie 10 Achar, Pramod N. 10 Mirković, Ivan 9 Bezrukavnikov, Roman 9 Nadler, David 8 Božičević, Mladen 8 Finkelberg, Michael Vladlenovich 7 Chen, Tsao-Hsien 7 Ginzburg, Victor 7 Hu, Yonggang 7 Lysenko, Sergey 7 Xue, Ting 7 Yun, Zhiwei 6 Braverman, Alexander 6 Cautis, Sabin 6 Lőrincz, András Cristian 6 Raskin, Sam 6 Richarz, Timo 6 Zhu, Xinwen 6 Zierau, Roger 5 Braden, Tom 5 Haines, Thomas J. 5 Ngô Bao Châu 4 Barchini, Leticia 4 Baumann, Pierre 4 Hong, Jiuzu 4 Kapranov, Mikhail M. 4 Libine, Matvei 4 Maxim, Laurentiu G. 4 Muthiah, Dinakar 4 Naito, Satoshi 4 Psaroudakis, Chrysostomos 4 Rietsch, Konstanze 4 Sagaki, Daisuke 4 Schechtman, Vadim 4 Treumann, David 4 Vybornov, Maxim 4 Webster, Ben 4 Yao, Hailou 3 Arkhipov, Sergey M. 3 Campbell, Justin 3 Dimofte, Tudor Dan 3 Fontaine, Bruce 3 Fu, Xuerong 3 Gaussent, Stéphane 3 Gourevitch, Dmitry 3 Harris, Benjamin 3 He, Xuhua 3 Heinloth, Jochen 3 Juteau, Daniel 3 Kashiwara, Masaki 3 Kato, Syu 3 Lecouvey, Cédric 3 Lenart, Cristian 3 Levin, Brandon 3 Lin, Yanan 3 MacPherson, Robert Duncan 3 Mautner, Carl Irving 3 Narváez-Macarro, Luis 3 Nishiyama, Kyo 3 Raicu, Claudiu 3 Scholbach, Jakob 3 Tingley, Peter W. 3 Viehmann, Eva 3 Weekes, Alex 3 Yacobi, Oded 3 Zhou, Panyue 2 Akhmejanov, Tair 2 Arinkin, Dima 2 Banagl, Markus 2 Beilinson, Alexander A. 2 Bellamy, Gwyn 2 Ben-Zvi, David 2 Besson, Marc 2 Brubaker, Ben 2 Bullimore, Mathew Richard 2 Casbi, Elie 2 Ciappara, Joshua 2 D’Agnolo, Andrea 2 Dean, Samuel 2 Dhillon, Gurbir 2 Dranowski, Anne 2 Evens, Sam 2 Farang-Hariri, Banafsheh 2 Friedberg, Solomon 2 Friedman, Greg 2 Gaiotto, Davide 2 Ganev, Iordan 2 Görtz, Ulrich 2 Grinberg, Mikhail 2 Gudiel Rodríguez, Félix 2 Henderson, Anthony 2 Hilburn, Justin 2 Kamgarpour, Masoud ...and 337 more Authors all top 5 Cited in 110 Serials 43 Advances in Mathematics 29 Duke Mathematical Journal 27 Compositio Mathematica 26 Representation Theory 22 Inventiones Mathematicae 21 Journal of Algebra 21 Selecta Mathematica. New Series 17 Transactions of the American Mathematical Society 14 Journal of the American Mathematical Society 13 Annales de l’Institut Fourier 12 Transformation Groups 10 Annals of Mathematics. Second Series 7 Communications in Algebra 7 Israel Journal of Mathematics 6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 6 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Mathematische Zeitschrift 5 Proceedings of the American Mathematical Society 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Oberwolfach Reports 4 Publications Mathématiques 4 Journal für die Reine und Angewandte Mathematik 4 Mathematische Annalen 4 Geometric and Functional Analysis. GAFA 4 Bulletin of the American Mathematical Society. New Series 4 Algebras and Representation Theory 4 Journal of High Energy Physics 4 Journal of the Institute of Mathematics of Jussieu 4 Algebra & Number Theory 3 Communications in Mathematical Physics 3 Bulletin of the London Mathematical Society 3 Journal of Functional Analysis 3 Journal of Pure and Applied Algebra 3 Memoirs of the American Mathematical Society 3 Proceedings of the Japan Academy. Series A 3 Journal of Algebraic Geometry 3 Applied Categorical Structures 3 Documenta Mathematica 3 Journal of Algebra and its Applications 3 Frontiers of Mathematics in China 3 Science China. Mathematics 3 European Journal of Mathematics 2 Journal of the Indian Institute of Science 2 Journal of the Korean Mathematical Society 2 Michigan Mathematical Journal 2 Proceedings of the London Mathematical Society. Third Series 2 Tôhoku Mathematical Journal. Second Series 2 International Journal of Mathematics 2 Indagationes Mathematicae. New Series 2 Séminaire Lotharingien de Combinatoire 2 Journal of the Australian Mathematical Society 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 2 Journal of Topology and Analysis 2 Japanese Journal of Mathematics. 3rd Series 2 Forum of Mathematics, Sigma 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Nuclear Physics. B 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Acta Mathematica Vietnamica 1 American Journal of Mathematics 1 Bulletin de la Société Mathématique de France 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Rendiconti del Seminario Matematico della Università di Padova 1 Tokyo Journal of Mathematics 1 European Journal of Combinatorics 1 Bulletin of the Iranian Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 The Journal of Geometric Analysis 1 Glasnik Matematički. Serija III 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Journal of Algebraic Combinatorics 1 Algebra Colloquium 1 Journal of Mathematical Sciences (New York) 1 Annales Mathématiques Blaise Pascal 1 The Electronic Journal of Combinatorics 1 Journal of Lie Theory 1 Bulletin des Sciences Mathématiques 1 Mathematical Communications 1 Geometry & Topology 1 Journal of the European Mathematical Society (JEMS) 1 Acta Mathematica Sinica. English Series 1 Advances in Geometry 1 Foundations of Computational Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Dynamical Systems and Geometric Theories 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques 1 Central European Journal of Mathematics 1 Journal of Commutative Algebra ...and 10 more Serials all top 5 Cited in 34 Fields 285 Algebraic geometry (14-XX) 149 Topological groups, Lie groups (22-XX) 133 Group theory and generalizations (20-XX) 103 Nonassociative rings and algebras (17-XX) 66 Several complex variables and analytic spaces (32-XX) 61 Associative rings and algebras (16-XX) 60 Number theory (11-XX) 56 Category theory; homological algebra (18-XX) 32 Combinatorics (05-XX) 27 Differential geometry (53-XX) 27 Algebraic topology (55-XX) 21 Commutative algebra (13-XX) 19 Manifolds and cell complexes (57-XX) 13 Quantum theory (81-XX) 10 \(K\)-theory (19-XX) 10 Global analysis, analysis on manifolds (58-XX) 7 Convex and discrete geometry (52-XX) 6 Abstract harmonic analysis (43-XX) 5 General and overarching topics; collections (00-XX) 5 Special functions (33-XX) 5 Geometry (51-XX) 4 Ordinary differential equations (34-XX) 4 Partial differential equations (35-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Functional analysis (46-XX) 3 Mathematical logic and foundations (03-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Field theory and polynomials (12-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Real functions (26-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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