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 238 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 1,788 times in 1,025 Documents Cited by ▼ Year ▼ Equivariant cohomology, Koszul duality, and the localization theorem. Zbl 0897.22009 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 254 1998 Points on some Shimura varieties over finite fields. Zbl 0796.14014 Kottwitz, Robert E. 170 1992 Isocrystals with additional structure. II. Zbl 0966.20022 Kottwitz, Robert E. 151 1997 Stable trace formula: Cuspidal tempered terms. Zbl 0576.22020 Kottwitz, Robert E. 136 1984 Isocrystals with additional structure. Zbl 0597.20038 Kottwitz, Robert E. 133 1985 Foundations of twisted endoscopy. Zbl 0958.22013 Kottwitz, Robert E.; Shelstad, Diana 109 1999 Stable trace formula: Elliptic singular terms. Zbl 0577.10028 Kottwitz, Robert E. 105 1986 Rational conjugacy classes in reductive groups. Zbl 0506.20017 Kottwitz, Robert E. 74 1982 Tamagawa numbers. Zbl 0678.22012 Kottwitz, Robert E. 70 1988 Shimura varieties and twisted orbital integrals. Zbl 0533.14009 Kottwitz, Robert E. 46 1984 Sign changes in harmonic analysis on reductive groups. Zbl 0538.22010 Kottwitz, Robert E. 43 1983 Shimura varieties and \(\lambda\)-adic representations. Zbl 0743.14019 Kottwitz, Robert E. 41 1990 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 41 2016 On the \(\lambda\)-adic representations associated to some simple Shimura varieties. Zbl 0765.22011 Kottwitz, Robert E. 40 1992 Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 38 2006 Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\). Zbl 0981.17003 Kottwitz, R.; Rapoport, M. 37 2000 Iwahori-Hecke algebras. Zbl 1202.22013 Haines, Thomas J.; Kottwitz, Robert E.; Prasad, Amritanshu 36 2010 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 36 2010 Purity of equivalued affine Springer fibers. Zbl 1133.22013 Goresky, Mark; Kottwitz, Robert; Macpherson, Robert 35 2006 On the existence of \(F\)-crystals. Zbl 1126.14023 Kottwitz, R.; Rapoport, M. 33 2003 On the cohomology of certain noncompact Shimura varieties. With an appendix by Robert Kottwitz. Zbl 1233.11069 Morel, Sophie 27 2010 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 26 2004 On the Hodge-Newton decomposition for split groups. Zbl 1074.14016 Kottwitz, Robert E. 20 2003 Transfer factors for Lie algebras. Zbl 1044.22011 Kottwitz, Robert E. 19 1999 Discrete series characters and the Lefschetz formula for Hecke operators. Zbl 0888.22011 Goresky, Mark; Kottwitz, R.; MacPherson, Robert 18 1997 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. 12 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 Contribution of the points at the boundary. Zbl 0821.14017 Kottwitz, Robert E.; Rapoport, Michael 4 1992 Correction to: “Discrete series characters and the Lefschetz formula for Hecke operators”. Zbl 0939.22009 Goresky, M.; Kottwitz, R.; MacPherson, R. 4 1998 Regular points in affine Springer fibers. Zbl 1071.22019 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 3 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 Stable nilpotent orbital integrals on real reductive Lie algebras. Zbl 1045.22014 Kottwitz, Robert E. 2 2000 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 41 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 36 2010 Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036 Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C. 36 2010 On the cohomology of certain noncompact Shimura varieties. With an appendix by Robert Kottwitz. Zbl 1233.11069 Morel, Sophie 27 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. 38 2006 Purity of equivalued affine Springer fibers. Zbl 1133.22013 Goresky, Mark; Kottwitz, Robert; Macpherson, Robert 35 2006 Dimensions of Newton strata in the adjoint quotient of reductive groups. Zbl 1109.11033 Kottwitz, Robert E. 12 2006 Harmonic analysis on reductive \(p\)-adic groups and Lie algebras. Zbl 1106.22013 Kottwitz, Robert E. 27 2005 Regular points in affine Springer fibers. Zbl 1071.22019 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 3 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 Homology of affine Springer fibers in the unramified case. Zbl 1162.14311 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 26 2004 On the existence of \(F\)-crystals. Zbl 1126.14023 Kottwitz, R.; Rapoport, M. 33 2003 On the Hodge-Newton decomposition for split groups. Zbl 1074.14016 Kottwitz, Robert E. 20 2003 Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\). Zbl 0981.17003 Kottwitz, R.; Rapoport, M. 37 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 109 1999 Transfer factors for Lie algebras. Zbl 1044.22011 Kottwitz, Robert E. 19 1999 Equivariant cohomology, Koszul duality, and the localization theorem. Zbl 0897.22009 Goresky, Mark; Kottwitz, Robert; MacPherson, Robert 254 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. 151 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. 170 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. 41 1990 Tamagawa numbers. Zbl 0678.22012 Kottwitz, Robert E. 70 1988 Stable trace formula: Elliptic singular terms. Zbl 0577.10028 Kottwitz, Robert E. 105 1986 Isocrystals with additional structure. Zbl 0597.20038 Kottwitz, Robert E. 133 1985 Stable trace formula: Cuspidal tempered terms. Zbl 0576.22020 Kottwitz, Robert E. 136 1984 Shimura varieties and twisted orbital integrals. Zbl 0533.14009 Kottwitz, Robert E. 46 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. 74 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 813 Authors 19 He, Xuhua 19 Viehmann, Eva 19 Yu, Chia-Fu 17 Kottwitz, Robert Edward 16 Haines, Thomas J. 15 Borovoi, Mikhail V. 15 Goertsches, Oliver 15 Görtz, Ulrich 14 Rapoport, Michael 14 Shin, Sug Woo 13 Clozel, Laurent 13 Flicker, Yuval Z. 13 Kaletha, Tasho 13 Nie, Sian 9 Gross, Benedict Hyman 9 Masuda, Mikiya 9 Scholze, Peter 9 Waldspurger, Jean-Loup 8 Hamacher, Paul 8 Holm, Tara S. 8 Lapid, Erez Moshe 8 Pappas, Georgios 7 Arthur, James Greig 7 Choiy, Kwangho 7 Gee, Toby 7 Gordon, Julia 7 Guillemin, Victor W. 7 Kazhdan, David 7 Kisin, Mark 7 Lan, Kai-Wen 7 Lanini, Martina 7 Milićević, Elizabeth T. 7 Nguyễn Quôc Thăng 7 Shahidi, Freydoon 7 Tymoczko, Julianna S. 7 Vasiu, Adrian 7 Vasserot, Eric 7 Zoller, Leopold 6 Aubert, Anne-Marie 6 Caraiani, Ana 6 Chenevier, Gaëtan 6 Franz, Matthias 6 Gan, Wee Teck 6 Hartl, Urs T. 6 Hernandez, Valentin 6 Herzig, Florian 6 Kret, Arno 6 Mantovan, Elena 6 Rimányi, Richárd 6 Sabatini, Silvia 6 Shen, Xu 6 Solleveld, Maarten 6 Thorne, Jack 6 Varma, Sandeep V. 6 Varshavsky, Yakov 6 Vignéras, Marie-France 6 Weber, Andrzej 6 Yun, Zhiwei 6 Zara, Catalin 5 Adler, Jeffrey D. 5 Aĭzenberg, Anton Andreevich 5 Bergeron, Nicolas 5 Bertoloni Meli, Alexander 5 Chaudouard, Pierre-Henri 5 Goldin, Rebecca F. 5 Hales, Thomas Callister 5 Horiguchi, Tatsuya 5 Kim, Wansu 5 Konstantis, Panagiotis 5 Labesse, Jean-Pierre 5 Li, Wen-Wei 5 Mihalcea, Leonardo Constantin 5 Morel, Sophie 5 Oi, Masao 5 Renard, David A. 5 Richarz, Timo 5 Schneider, Peter 5 Schwer, Petra N. 5 Smithling, Brian D. 5 Song, Jongbaek 5 Taïbi, Olivier 5 Taylor, Richard 5 Wedhorn, Torsten 4 Achter, Jeffrey D. 4 Asgari, Mahdi 4 Beuzart-Plessis, Raphaël 4 Bezrukavnikov, Roman 4 Bijakowski, Stephane 4 Braden, Tom 4 Carlson, Jeffrey Daniel 4 Chen, Miaofen 4 Chen, Zongbin 4 Cornut, Christophe 4 Cunningham, Clifton L. R. 4 Eischen, Ellen Elizabeth 4 Ganapathy, Radhika 4 Geck, Meinolf 4 Goldberg, David 4 Goresky, Robert Mark 4 Gorsky, Eugene ...and 713 more Authors all top 5 Cited in 153 Serials 57 Duke Mathematical Journal 54 Advances in Mathematics 44 Compositio Mathematica 39 Mathematische Annalen 38 Inventiones Mathematicae 37 Representation Theory 32 Journal of Algebra 31 Journal für die Reine und Angewandte Mathematik 30 Transactions of the American Mathematical Society 29 Manuscripta Mathematica 28 Mathematische Zeitschrift 28 Selecta Mathematica. New Series 25 Journal of the Institute of Mathematics of Jussieu 24 Journal of the American Mathematical Society 21 Transformation Groups 21 Annals of Mathematics. Second Series 20 Journal of Number Theory 19 Annales de l’Institut Fourier 18 Algebra & Number Theory 15 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 13 Pacific Journal of Mathematics 13 Forum of Mathematics, Sigma 12 Israel Journal of Mathematics 12 Journal of Algebraic Combinatorics 11 Journal of the European Mathematical Society (JEMS) 10 Forum Mathematicum 10 Documenta Mathematica 9 Publications Mathématiques 9 Memoirs of the American Mathematical Society 9 Forum of Mathematics, Pi 8 Algebraic & Geometric Topology 7 Canadian Journal of Mathematics 7 Proceedings of the London Mathematical Society. Third Series 7 International Journal of Mathematics 7 Journal of Algebraic Geometry 6 Bulletin de la Société Mathématique de France 6 Journal of the London Mathematical Society. Second Series 6 Mathematische Nachrichten 6 Michigan Mathematical Journal 6 Proceedings of the American Mathematical Society 5 Nagoya Mathematical Journal 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 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 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 Bulletin of the London Mathematical Society 2 Journal of Combinatorial Theory. Series A 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 2 Transactions of the American Mathematical Society. Series B 2 Algebraic Combinatorics 1 Discrete Mathematics 1 Mathematical Notes 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Mathematics of Computation 1 Acta Arithmetica 1 Acta Mathematica 1 Commentarii Mathematici Helvetici 1 Fundamenta Mathematicae 1 Geometriae Dedicata 1 Illinois Journal of Mathematics ...and 53 more Serials all top 5 Cited in 40 Fields 519 Number theory (11-XX) 502 Algebraic geometry (14-XX) 318 Topological groups, Lie groups (22-XX) 247 Group theory and generalizations (20-XX) 91 Algebraic topology (55-XX) 80 Manifolds and cell complexes (57-XX) 65 Combinatorics (05-XX) 57 Nonassociative rings and algebras (17-XX) 33 Associative rings and algebras (16-XX) 30 Differential geometry (53-XX) 28 Commutative algebra (13-XX) 28 \(K\)-theory (19-XX) 22 Category theory; homological algebra (18-XX) 17 Several complex variables and analytic spaces (32-XX) 17 Convex and discrete geometry (52-XX) 11 Quantum theory (81-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 Geometry (51-XX) 8 Abstract harmonic analysis (43-XX) 7 Field theory and polynomials (12-XX) 7 Dynamical systems and ergodic theory (37-XX) 5 Approximations and expansions (41-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 3 Mathematical logic and foundations (03-XX) 2 Ordinary differential equations (34-XX) 2 Difference and functional equations (39-XX) 2 Functional analysis (46-XX) 2 Computer science (68-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 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. Updates and corrections should be made in Wikidata.