Edit Profile (opens in new tab) Kottwitz, Robert Edward Co-Author Distance Author ID: kottwitz.robert-edward Published as: Kottwitz, Robert E.; Kottwitz, Robert; Kottwitz, R.; Kottwitz, Robert Edward; Kottwitz, R. E. more...less Homepage: https://www.amacad.org/person/robert-e-kottwitz External Links: MGP · Wikidata · GND · IdRef Documents Indexed: 44 Publications since 1979, including 1 Book and 3 Additional arXiv Preprints 1 Contribution as Editor · 2 Further Contributions Co-Authors: 14 Co-Authors with 20 Joint Publications 235 Co-Co-Authors all top 5 Co-Authors 25 single-authored 7 Goresky, Robert Mark 7 MacPherson, Robert Duncan 3 Haines, Thomas J. 3 Rapoport, Michael 2 Görtz, Ulrich 2 Reuman, Daniel C. 2 Shelstad, Diana 1 Arthur, James Greig 1 Cluckers, Raf 1 Csima, N. E. 1 Ellwood, David Alexandre 1 Gordon, Julia 1 Halupczok, Immanuel 1 Morel, Sophie 1 Prasad, Amritanshu 1 Rogawski, Jonathan D. 1 Shin, Sug Woo 1 Templier, Nicolas 1 Viehmann, Eva 1 Wake, Preston all top 5 Serials 6 Duke Mathematical Journal 4 Representation Theory 3 Compositio Mathematica 3 Inventiones Mathematicae 2 Mathematische Annalen 2 Michigan Mathematical Journal 2 Pure and Applied Mathematics Quarterly 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Canadian Journal of Mathematics 1 Commentarii Mathematici Helvetici 1 Manuscripta Mathematica 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Journal of the Ramanujan Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 Annals of Mathematics Studies 1 Astérisque 1 Clay Mathematics Proceedings 1 Research in Number Theory all top 5 Fields 29 Topological groups, Lie groups (22-XX) 27 Number theory (11-XX) 20 Algebraic geometry (14-XX) 16 Group theory and generalizations (20-XX) 3 Nonassociative rings and algebras (17-XX) 2 Field theory and polynomials (12-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Abstract harmonic analysis (43-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 40 Publications have been cited 1,670 times in 949 Documents Cited by ▼ Year ▼ Equivariant cohomology, Koszul duality, and the localization theorem. Zbl 0897.22009 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 222 1998 Points on some Shimura varieties over finite fields. Zbl 0796.14014 Kottwitz, Robert E. 167 1992 Isocrystals with additional structure. II. Zbl 0966.20022 Kottwitz, Robert E. 137 1997 Stable trace formula: Cuspidal tempered terms. Zbl 0576.22020 Kottwitz, Robert E. 128 1984 Isocrystals with additional structure. Zbl 0597.20038 Kottwitz, Robert E. 122 1985 Foundations of twisted endoscopy. Zbl 0958.22013 Kottwitz, Robert E.; Shelstad, Diana 101 1999 Stable trace formula: Elliptic singular terms. Zbl 0577.10028 Kottwitz, Robert E. 97 1986 Rational conjugacy classes in reductive groups. Zbl 0506.20017 Kottwitz, Robert E. 70 1982 Tamagawa numbers. Zbl 0678.22012 Kottwitz, Robert E. 69 1988 Shimura varieties and \(\lambda\)-adic representations. Zbl 0743.14019 Kottwitz, Robert E. 44 1990 Sign changes in harmonic analysis on reductive groups. Zbl 0538.22010 Kottwitz, Robert E. 43 1983 Shimura varieties and twisted orbital integrals. Zbl 0533.14009 Kottwitz, Robert E. 41 1984 On the \(\lambda\)-adic representations associated to some simple Shimura varieties. Zbl 0765.22011 Kottwitz, Robert E. 40 1992 Sato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok. With appendices by Robert Kottwitz [A] and by Raf Cluckers, Julia Gordon, and Immanuel Halupczok [B]. Zbl 1408.11042 Shin, Sug Woo; Templier, Nicolas 37 2016 Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\). Zbl 0981.17003 Kottwitz, R.; Rapoport, M. 35 2000 Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 34 2006 Iwahori-Hecke algebras. Zbl 1202.22013 Haines, Thomas J.; Kottwitz, Robert E.; Prasad, Amritanshu 34 2010 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 33 2010 On the existence of \(F\)-crystals. Zbl 1126.14023 Kottwitz, R.; Rapoport, M. 30 2003 Purity of equivalued affine Springer fibers. Zbl 1133.22013 Goresky, Mark; Kottwitz, Robert; Macpherson, Robert 29 2006 Harmonic analysis on reductive \(p\)-adic groups and Lie algebras. Zbl 1106.22013 Kottwitz, Robert E. 27 2005 Homology of affine Springer fibers in the unramified case. Zbl 1162.14311 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 24 2004 On the cohomology of certain noncompact Shimura varieties. With an appendix by Robert Kottwitz. Zbl 1233.11069 Morel, Sophie 23 2010 Discrete series characters and the Lefschetz formula for Hecke operators. Zbl 0888.22011 Goresky, Mark; Kottwitz, R.; MacPherson, Robert 18 1997 Transfer factors for Lie algebras. Zbl 1044.22011 Kottwitz, Robert E. 18 1999 On the Hodge-Newton decomposition for split groups. Zbl 1074.14016 Kottwitz, Robert E. 18 2003 Orbital integrals on \(GL_3\). Zbl 0437.22011 Kottwitz, Robert Edward 14 1980 Involutions in Weyl groups. Zbl 1045.22500 Kottwitz, Robert E. 14 2000 Dimensions of Newton strata in the adjoint quotient of reductive groups. Zbl 1109.11033 Kottwitz, Robert E. 11 2006 The distributions in the invariant trace formula are supported on characters. Zbl 0991.22014 Kottwitz, Robert E.; Rogawski, Jonathan D. 10 2000 Codimensions of root valuation strata. Zbl 1185.11038 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 10 2009 Generalized affine Springer fibres. Zbl 1287.22007 Kottwitz, Robert; Viehmann, Eva 8 2012 Unstable orbital integrals on SL(3). Zbl 0477.12019 Kottwitz, Robert E. 5 1981 Correction to: “Discrete series characters and the Lefschetz formula for Hecke operators”. Zbl 0939.22009 Goresky, M.; Kottwitz, R.; MacPherson, R. 4 1998 Contribution of the points at the boundary. Zbl 0821.14017 Kottwitz, Robert E.; Rapoport, Michael 4 1992 Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Zbl 1083.11002 3 2005 Stable nilpotent orbital integrals on real reductive Lie algebras. Zbl 1045.22014 Kottwitz, Robert E. 2 2000 Regular points in affine Springer fibers. Zbl 1071.22019 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 2 2005 Orbital integrals and base change. Zbl 0416.22020 Kottwitz, R. 1 1979 Primitive elements for \(p\)-divisible groups. Zbl 1472.14046 Kottwitz, Robert; Wake, Preston 1 2017 Primitive elements for \(p\)-divisible groups. Zbl 1472.14046 Kottwitz, Robert; Wake, Preston 1 2017 Sato-Tate theorem for families and low-lying zeros of automorphic \(L\)-functions. Appendix A by Robert Kottwitz, and Appendix B by Raf Cluckers, Julia Gordon and Immanuel Halupczok. With appendices by Robert Kottwitz [A] and by Raf Cluckers, Julia Gordon, and Immanuel Halupczok [B]. Zbl 1408.11042 Shin, Sug Woo; Templier, Nicolas 37 2016 Generalized affine Springer fibres. Zbl 1287.22007 Kottwitz, Robert; Viehmann, Eva 8 2012 Iwahori-Hecke algebras. Zbl 1202.22013 Haines, Thomas J.; Kottwitz, Robert E.; Prasad, Amritanshu 34 2010 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 33 2010 On the cohomology of certain noncompact Shimura varieties. With an appendix by Robert Kottwitz. Zbl 1233.11069 Morel, Sophie 23 2010 Codimensions of root valuation strata. Zbl 1185.11038 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 10 2009 Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 34 2006 Purity of equivalued affine Springer fibers. Zbl 1133.22013 Goresky, Mark; Kottwitz, Robert; Macpherson, Robert 29 2006 Dimensions of Newton strata in the adjoint quotient of reductive groups. Zbl 1109.11033 Kottwitz, Robert E. 11 2006 Harmonic analysis on reductive \(p\)-adic groups and Lie algebras. Zbl 1106.22013 Kottwitz, Robert E. 27 2005 Harmonic analysis, the trace formula, and Shimura varieties. Proceedings of the Clay Mathematics Institute 2003 summer school, Toronto, Canada, June 2–27, 2003. Zbl 1083.11002 3 2005 Regular points in affine Springer fibers. Zbl 1071.22019 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 2 2005 Homology of affine Springer fibers in the unramified case. Zbl 1162.14311 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 24 2004 On the existence of \(F\)-crystals. Zbl 1126.14023 Kottwitz, R.; Rapoport, M. 30 2003 On the Hodge-Newton decomposition for split groups. Zbl 1074.14016 Kottwitz, Robert E. 18 2003 Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\). Zbl 0981.17003 Kottwitz, R.; Rapoport, M. 35 2000 Involutions in Weyl groups. Zbl 1045.22500 Kottwitz, Robert E. 14 2000 The distributions in the invariant trace formula are supported on characters. Zbl 0991.22014 Kottwitz, Robert E.; Rogawski, Jonathan D. 10 2000 Stable nilpotent orbital integrals on real reductive Lie algebras. Zbl 1045.22014 Kottwitz, Robert E. 2 2000 Foundations of twisted endoscopy. Zbl 0958.22013 Kottwitz, Robert E.; Shelstad, Diana 101 1999 Transfer factors for Lie algebras. Zbl 1044.22011 Kottwitz, Robert E. 18 1999 Equivariant cohomology, Koszul duality, and the localization theorem. Zbl 0897.22009 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 222 1998 Correction to: “Discrete series characters and the Lefschetz formula for Hecke operators”. Zbl 0939.22009 Goresky, M.; Kottwitz, R.; MacPherson, R. 4 1998 Isocrystals with additional structure. II. Zbl 0966.20022 Kottwitz, Robert E. 137 1997 Discrete series characters and the Lefschetz formula for Hecke operators. Zbl 0888.22011 Goresky, Mark; Kottwitz, R.; MacPherson, Robert 18 1997 Points on some Shimura varieties over finite fields. Zbl 0796.14014 Kottwitz, Robert E. 167 1992 On the \(\lambda\)-adic representations associated to some simple Shimura varieties. Zbl 0765.22011 Kottwitz, Robert E. 40 1992 Contribution of the points at the boundary. Zbl 0821.14017 Kottwitz, Robert E.; Rapoport, Michael 4 1992 Shimura varieties and \(\lambda\)-adic representations. Zbl 0743.14019 Kottwitz, Robert E. 44 1990 Tamagawa numbers. Zbl 0678.22012 Kottwitz, Robert E. 69 1988 Stable trace formula: Elliptic singular terms. Zbl 0577.10028 Kottwitz, Robert E. 97 1986 Isocrystals with additional structure. Zbl 0597.20038 Kottwitz, Robert E. 122 1985 Stable trace formula: Cuspidal tempered terms. Zbl 0576.22020 Kottwitz, Robert E. 128 1984 Shimura varieties and twisted orbital integrals. Zbl 0533.14009 Kottwitz, Robert E. 41 1984 Sign changes in harmonic analysis on reductive groups. Zbl 0538.22010 Kottwitz, Robert E. 43 1983 Rational conjugacy classes in reductive groups. Zbl 0506.20017 Kottwitz, Robert E. 70 1982 Unstable orbital integrals on SL(3). Zbl 0477.12019 Kottwitz, Robert E. 5 1981 Orbital integrals on \(GL_3\). Zbl 0437.22011 Kottwitz, Robert Edward 14 1980 Orbital integrals and base change. Zbl 0416.22020 Kottwitz, R. 1 1979 all cited Publications top 5 cited Publications all top 5 Cited by 760 Authors 19 Yu, Chia-Fu 18 Viehmann, Eva 17 Kottwitz, Robert Edward 16 He, Xuhua 15 Görtz, Ulrich 15 Haines, Thomas J. 13 Borovoi, Mikhail V. 13 Clozel, Laurent 13 Flicker, Yuval Z. 13 Goertsches, Oliver 13 Kaletha, Tasho 13 Rapoport, Michael 12 Shin, Sug Woo 10 Nie, Sian 9 Gross, Benedict Hyman 8 Hamacher, Paul 8 Holm, Tara S. 8 Lapid, Erez Moshe 8 Pappas, Georgios 8 Scholze, Peter 8 Waldspurger, Jean-Loup 7 Arthur, James Greig 7 Gee, Toby 7 Gordon, Julia 7 Guillemin, Victor W. 7 Kazhdan, David 7 Kisin, Mark 7 Lan, Kai-Wen 7 Masuda, Mikiya 7 Shahidi, Freydoon 7 Vasiu, Adrian 7 Vasserot, Eric 6 Chenevier, Gaëtan 6 Choiy, Kwangho 6 Franz, Matthias 6 Gan, Wee Teck 6 Hartl, Urs T. 6 Hernandez, Valentin 6 Herzig, Florian 6 Lanini, Martina 6 Mantovan, Elena 6 Milićević, Elizabeth T. 6 Nguyễn Quôc Thăng 6 Rimányi, Richárd 6 Sabatini, Silvia 6 Shen, Xu 6 Solleveld, Maarten 6 Thorne, Jack 6 Varshavsky, Yakov 6 Vignéras, Marie-France 6 Weber, Andrzej 6 Yun, Zhiwei 6 Zara, Catalin 5 Aubert, Anne-Marie 5 Aĭzenberg, Anton Andreevich 5 Bergeron, Nicolas 5 Caraiani, Ana 5 Chaudouard, Pierre-Henri 5 Hales, Thomas Callister 5 Kim, Wansu 5 Kret, Arno 5 Labesse, Jean-Pierre 5 Li, Wen-Wei 5 Morel, Sophie 5 Renard, David A. 5 Schneider, Peter 5 Smithling, Brian D. 5 Taïbi, Olivier 5 Taylor, Richard 5 Tymoczko, Julianna S. 5 Varma, Sandeep V. 5 Wedhorn, Torsten 5 Zoller, Leopold 4 Achter, Jeffrey D. 4 Adler, Jeffrey D. 4 Asgari, Mahdi 4 Beuzart-Plessis, Raphaël 4 Bezrukavnikov, Roman 4 Bijakowski, Stephane 4 Braden, Tom 4 Chen, Miaofen 4 Chen, Zongbin 4 Cornut, Christophe 4 Cunningham, Clifton L. R. 4 Eischen, Ellen Elizabeth 4 Geck, Meinolf 4 Goldberg, David 4 Goresky, Robert Mark 4 Harada, Megumi 4 Harris, Michael Howard 4 Henniart, Guy M. 4 Ichino, Atsushi 4 Ikeda, Takeshi 4 Ivanov, Alexander B. 4 Lam, Thomas F. 4 Laumon, Gérard 4 Lü, Zhi 4 Mishra, Manish 4 Ngô Bao Châu 4 Oki, Yasuhiro ...and 660 more Authors all top 5 Cited in 143 Serials 53 Duke Mathematical Journal 51 Advances in Mathematics 44 Compositio Mathematica 38 Inventiones Mathematicae 37 Mathematische Annalen 37 Representation Theory 31 Journal of Algebra 31 Journal für die Reine und Angewandte Mathematik 30 Transactions of the American Mathematical Society 27 Manuscripta Mathematica 26 Selecta Mathematica. New Series 24 Mathematische Zeitschrift 24 Journal of the American Mathematical Society 23 Journal of the Institute of Mathematics of Jussieu 20 Annals of Mathematics. Second Series 19 Annales de l’Institut Fourier 18 Journal of Number Theory 16 Transformation Groups 15 Algebra & Number Theory 13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 12 Israel Journal of Mathematics 12 Journal of Algebraic Combinatorics 11 Pacific Journal of Mathematics 11 Journal of the European Mathematical Society (JEMS) 11 Forum of Mathematics, Sigma 10 Forum Mathematicum 9 Publications Mathématiques 9 Documenta Mathematica 8 Algebraic & Geometric Topology 8 Forum of Mathematics, Pi 7 Canadian Journal of Mathematics 7 Memoirs of the American Mathematical Society 7 Journal of Algebraic Geometry 6 Mathematische Nachrichten 6 Michigan Mathematical Journal 5 Bulletin de la Société Mathématique de France 5 Nagoya Mathematical Journal 5 International Journal of Mathematics 5 Bulletin of the American Mathematical Society. New Series 5 Indagationes Mathematicae. New Series 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Algebras and Representation Theory 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Journal de l’École Polytechnique – Mathématiques 4 Acta Mathematica Vietnamica 4 Proceedings of the American Mathematical Society 4 Proceedings of the Japan Academy. Series A 4 Oberwolfach Reports 4 International Journal of Number Theory 4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 4 Kyoto Journal of Mathematics 3 Communications in Mathematical Physics 3 Journal d’Analyse Mathématique 3 Letters in Mathematical Physics 3 American Journal of Mathematics 3 Journal of Functional Analysis 3 Proceedings of the London Mathematical Society. Third Series 3 Topology and its Applications 3 Journal of Mathematical Sciences (New York) 3 Geometry & Topology 3 Proceedings of the Steklov Institute of Mathematics 3 Japanese Journal of Mathematics. 3rd Series 3 Science China. Mathematics 3 Research in the Mathematical Sciences 3 Research in Number Theory 2 Communications in Algebra 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Arkiv för Matematik 2 Journal of Geometry and Physics 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Archiv der Mathematik 2 Journal of the London Mathematical Society. Second Series 2 Journal of Pure and Applied Algebra 2 Osaka Journal of Mathematics 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Mémoires de la Société Mathématique de France. Nouvelle Série 2 Expositiones Mathematicae 2 The Electronic Journal of Combinatorics 2 Bulletin des Sciences Mathématiques 2 Electronic Research Announcements of the American Mathematical Society 2 Acta Mathematica Sinica. English Series 2 Central European Journal of Mathematics 2 Groups, Geometry, and Dynamics 2 Journal of Homotopy and Related Structures 2 Annales Mathématiques du Québec 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Acta Arithmetica 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Journal of the Mathematical Society of Japan ...and 43 more Serials all top 5 Cited in 40 Fields 489 Number theory (11-XX) 462 Algebraic geometry (14-XX) 301 Topological groups, Lie groups (22-XX) 222 Group theory and generalizations (20-XX) 81 Algebraic topology (55-XX) 73 Manifolds and cell complexes (57-XX) 55 Combinatorics (05-XX) 50 Nonassociative rings and algebras (17-XX) 30 Differential geometry (53-XX) 28 Associative rings and algebras (16-XX) 25 Commutative algebra (13-XX) 25 \(K\)-theory (19-XX) 20 Category theory; homological algebra (18-XX) 17 Convex and discrete geometry (52-XX) 16 Several complex variables and analytic spaces (32-XX) 11 Quantum theory (81-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Abstract harmonic analysis (43-XX) 7 Dynamical systems and ergodic theory (37-XX) 6 Field theory and polynomials (12-XX) 6 Geometry (51-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Approximations and expansions (41-XX) 3 Mathematical logic and foundations (03-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Information and communication theory, circuits (94-XX) 1 Measure and integration (28-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Computer science (68-XX) 1 Statistical mechanics, structure of matter (82-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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