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Kottwitz, Robert Edward

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Author ID: kottwitz.robert-edward Recent zbMATH articles by "Kottwitz, Robert Edward"
Published as: Kottwitz, Robert E.; Kottwitz, Robert; Kottwitz, R.; Kottwitz, Robert Edward; Kottwitz, R. E.
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Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 1,425 times in 802 Documents Cited by Year
Equivariant cohomology, Koszul duality, and the localization theorem. Zbl 0897.22009
Goresky, Mark; Kottwitz, Robert; MacPherson, Robert
183
1998
Points on some Shimura varieties over finite fields. Zbl 0796.14014
Kottwitz, Robert E.
143
1992
Isocrystals with additional structure. II. Zbl 0966.20022
Kottwitz, Robert E.
109
1997
Stable trace formula: Cuspidal tempered terms. Zbl 0576.22020
Kottwitz, Robert E.
104
1984
Isocrystals with additional structure. Zbl 0597.20038
Kottwitz, Robert E.
100
1985
Stable trace formula: Elliptic singular terms. Zbl 0577.10028
Kottwitz, Robert E.
85
1986
Foundations of twisted endoscopy. Zbl 0958.22013
Kottwitz, Robert E.; Shelstad, Diana
81
1999
Rational conjugacy classes in reductive groups. Zbl 0506.20017
Kottwitz, Robert E.
63
1982
Tamagawa numbers. Zbl 0678.22012
Kottwitz, Robert E.
60
1988
Sign changes in harmonic analysis on reductive groups. Zbl 0538.22010
Kottwitz, Robert E.
36
1983
Shimura varieties and twisted orbital integrals. Zbl 0533.14009
Kottwitz, Robert E.
32
1984
Shimura varieties and \(\lambda\)-adic representations. Zbl 0743.14019
Kottwitz, Robert E.
32
1990
On the \(\lambda\)-adic representations associated to some simple Shimura varieties. Zbl 0765.22011
Kottwitz, Robert E.
30
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
29
2016
Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\). Zbl 0981.17003
Kottwitz, R.; Rapoport, M.
29
2000
Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036
Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C.
29
2010
Iwahori-Hecke algebras. Zbl 1202.22013
Haines, Thomas J.; Kottwitz, Robert E.; Prasad, Amritanshu
28
2010
Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035
Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C.
28
2006
On the existence of \(F\)-crystals. Zbl 1126.14023
Kottwitz, R.; Rapoport, M.
25
2003
Purity of equivalued affine Springer fibers. Zbl 1133.22013
Goresky, Mark; Kottwitz, Robert; Macpherson, Robert
21
2006
Homology of affine Springer fibers in the unramified case. Zbl 1162.14311
Goresky, Mark; Kottwitz, Robert; MacPherson, Robert
21
2004
Harmonic analysis on reductive \(p\)-adic groups and Lie algebras. Zbl 1106.22013
Kottwitz, Robert E.
20
2005
Transfer factors for Lie algebras. Zbl 1044.22011
Kottwitz, Robert E.
18
1999
On the cohomology of certain noncompact Shimura varieties. With an appendix by Robert Kottwitz. Zbl 1233.11069
Morel, Sophie
17
2010
On the Hodge-Newton decomposition for split groups. Zbl 1074.14016
Kottwitz, Robert E.
14
2003
Discrete series characters and the Lefschetz formula for Hecke operators. Zbl 0888.22011
Goresky, Mark; Kottwitz, R.; MacPherson, Robert
13
1997
Involutions in Weyl groups. Zbl 1045.22500
Kottwitz, Robert E.
13
2000
Orbital integrals on \(GL_3\). Zbl 0437.22011
Kottwitz, Robert Edward
12
1980
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
9
2009
Dimensions of Newton strata in the adjoint quotient of reductive groups. Zbl 1109.11033
Kottwitz, Robert E.
8
2006
Generalized affine Springer fibres. Zbl 1287.22007
Kottwitz, Robert; Viehmann, Eva
6
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.
3
1998
Contribution of the points at the boundary. Zbl 0821.14017
Kottwitz, Robert E.; Rapoport, Michael
3
1992
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
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
1
2005
Regular points in affine Springer fibers. Zbl 1071.22019
Goresky, Mark; Kottwitz, Robert; MacPherson, Robert
1
2005
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
29
2016
Generalized affine Springer fibres. Zbl 1287.22007
Kottwitz, Robert; Viehmann, Eva
6
2012
Affine Deligne-Lusztig varieties in affine flag varieties. Zbl 1229.14036
Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C.
29
2010
Iwahori-Hecke algebras. Zbl 1202.22013
Haines, Thomas J.; Kottwitz, Robert E.; Prasad, Amritanshu
28
2010
On the cohomology of certain noncompact Shimura varieties. With an appendix by Robert Kottwitz. Zbl 1233.11069
Morel, Sophie
17
2010
Codimensions of root valuation strata. Zbl 1185.11038
Goresky, Mark; Kottwitz, Robert; MacPherson, Robert
9
2009
Dimensions of some affine Deligne-Lusztig varieties. Zbl 1108.14035
Görtz, Ulrich; Haines, Thomas J.; Kottwitz, Robert E.; Reuman, Daniel C.
28
2006
Purity of equivalued affine Springer fibers. Zbl 1133.22013
Goresky, Mark; Kottwitz, Robert; Macpherson, Robert
21
2006
Dimensions of Newton strata in the adjoint quotient of reductive groups. Zbl 1109.11033
Kottwitz, Robert E.
8
2006
Harmonic analysis on reductive \(p\)-adic groups and Lie algebras. Zbl 1106.22013
Kottwitz, Robert E.
20
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
1
2005
Regular points in affine Springer fibers. Zbl 1071.22019
Goresky, Mark; Kottwitz, Robert; MacPherson, Robert
1
2005
Homology of affine Springer fibers in the unramified case. Zbl 1162.14311
Goresky, Mark; Kottwitz, Robert; MacPherson, Robert
21
2004
On the existence of \(F\)-crystals. Zbl 1126.14023
Kottwitz, R.; Rapoport, M.
25
2003
On the Hodge-Newton decomposition for split groups. Zbl 1074.14016
Kottwitz, Robert E.
14
2003
Minuscule alcoves for \(\text{GL}_n\) and \(\text{GSP}_{2n}\). Zbl 0981.17003
Kottwitz, R.; Rapoport, M.
29
2000
Involutions in Weyl groups. Zbl 1045.22500
Kottwitz, Robert E.
13
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
81
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
183
1998
Correction to: “Discrete series characters and the Lefschetz formula for Hecke operators”. Zbl 0939.22009
Goresky, M.; Kottwitz, R.; MacPherson, R.
3
1998
Isocrystals with additional structure. II. Zbl 0966.20022
Kottwitz, Robert E.
109
1997
Discrete series characters and the Lefschetz formula for Hecke operators. Zbl 0888.22011
Goresky, Mark; Kottwitz, R.; MacPherson, Robert
13
1997
Points on some Shimura varieties over finite fields. Zbl 0796.14014
Kottwitz, Robert E.
143
1992
On the \(\lambda\)-adic representations associated to some simple Shimura varieties. Zbl 0765.22011
Kottwitz, Robert E.
30
1992
Contribution of the points at the boundary. Zbl 0821.14017
Kottwitz, Robert E.; Rapoport, Michael
3
1992
Shimura varieties and \(\lambda\)-adic representations. Zbl 0743.14019
Kottwitz, Robert E.
32
1990
Tamagawa numbers. Zbl 0678.22012
Kottwitz, Robert E.
60
1988
Stable trace formula: Elliptic singular terms. Zbl 0577.10028
Kottwitz, Robert E.
85
1986
Isocrystals with additional structure. Zbl 0597.20038
Kottwitz, Robert E.
100
1985
Stable trace formula: Cuspidal tempered terms. Zbl 0576.22020
Kottwitz, Robert E.
104
1984
Shimura varieties and twisted orbital integrals. Zbl 0533.14009
Kottwitz, Robert E.
32
1984
Sign changes in harmonic analysis on reductive groups. Zbl 0538.22010
Kottwitz, Robert E.
36
1983
Rational conjugacy classes in reductive groups. Zbl 0506.20017
Kottwitz, Robert E.
63
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
12
1980
Orbital integrals and base change. Zbl 0416.22020
Kottwitz, R.
1
1979
all top 5

Cited by 639 Authors

17 Kottwitz, Robert Edward
17 Yu, Chia-Fu
15 Haines, Thomas J.
14 He, Xuhua
14 Viehmann, Eva
13 Clozel, Laurent
13 Flicker, Yuval Z.
12 Borovoi, Mikhail V.
12 Görtz, Ulrich
12 Rapoport, Michael
9 Goertsches, Oliver
9 Kaletha, Tasho
9 Shin, Sug Woo
8 Lapid, Erez Moshe
8 Pappas, Georgios
7 Gross, Benedict Hyman
7 Guillemin, Victor W.
7 Hamacher, Paul
7 Holm, Tara S.
7 Kisin, Mark
7 Lan, Kai-Wen
7 Nie, Sian
7 Scholze, Peter
7 Waldspurger, Jean-Loup
6 Arthur, James Greig
6 Gan, Wee Teck
6 Gee, Toby
6 Kazhdan, David A.
6 Sabatini, Silvia
6 Shahidi, Freydoon
6 Vasiu, Adrian
6 Vasserot, Eric
6 Vignéras, Marie-France
6 Weber, Andrzej
6 Zara, Catalin
5 Aubert, Anne-Marie
5 Bergeron, Nicolas
5 Chaudouard, Pierre-Henri
5 Chenevier, Gaëtan
5 Gordon, Julia
5 Hales, Thomas Callister
5 Hernandez, Valentin
5 Herzig, Florian
5 Kim, Wansu
5 Labesse, Jean-Pierre
5 Li, Wen-Wei
5 Mantovan, Elena
5 Masuda, Mikiya
5 Nguyễn Quôc Thăng
5 Rimányi, Richárd
5 Shen, Xu
5 Smithling, Brian D.
5 Solleveld, Maarten
5 Taylor, Richard Lawrence
5 Varma, Sandeep V.
5 Varshavsky, Yakov
5 Yun, Zhiwei
4 Beuzart-Plessis, Raphaël
4 Bezrukavnikov, Roman
4 Braden, Tom
4 Choiy, Kwangho
4 Cunningham, Clifton L. R.
4 Geck, Meinolf
4 Goresky, Robert Mark
4 Harada, Megumi
4 Hartl, Urs T.
4 Henniart, Guy M.
4 Ikeda, Takeshi
4 Lam, Thomas F.
4 Lanini, Martina
4 Laumon, Gérard
4 Lü, Zhi
4 Milićević, Elizabeth T.
4 Mishra, Manish
4 Ngô Bao Châu
4 Puppe, Volker
4 Reeder, Mark
4 Renard, David A.
4 Richarz, Timo
4 Rostami, Sean
4 Schneider, Peter
4 Shelstad, Diana
4 Stroh, Benoît
4 Taïbi, Olivier
4 Thorne, Jack A.
4 Tymoczko, Julianna S.
4 Varagnolo, Michela
4 Venkatesh, Akshay
4 Vilonen, Kari
4 Wedhorn, Torsten
4 Zhu, Xinwen
3 Achter, Jeffrey D.
3 Adler, Jeffrey D.
3 Asgari, Mahdi
3 Baum, Paul Frank
3 Bijakowski, Stephane
3 Brubaker, Ben
3 Bump, Daniel
3 Caraiani, Ana
3 Carrell, James B.
...and 539 more Authors
all top 5

Cited in 128 Serials

52 Duke Mathematical Journal
45 Advances in Mathematics
39 Compositio Mathematica
36 Inventiones Mathematicae
35 Mathematische Annalen
32 Representation Theory
29 Journal of Algebra
28 Transactions of the American Mathematical Society
27 Journal für die Reine und Angewandte Mathematik
23 Selecta Mathematica. New Series
22 Journal of the American Mathematical Society
20 Mathematische Zeitschrift
20 Annals of Mathematics. Second Series
19 Manuscripta Mathematica
17 Annales de l’Institut Fourier
17 Journal of Number Theory
17 Journal of the Institute of Mathematics of Jussieu
16 Transformation Groups
13 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
12 Israel Journal of Mathematics
10 Forum of Mathematics, Sigma
9 Publications Mathématiques
9 Journal of Algebraic Combinatorics
8 Forum Mathematicum
7 Memoirs of the American Mathematical Society
7 Journal of Algebraic Geometry
7 Documenta Mathematica
7 Journal of the European Mathematical Society (JEMS)
7 Forum of Mathematics, Pi
5 Mathematische Nachrichten
5 Michigan Mathematical Journal
5 Nagoya Mathematical Journal
5 Pacific Journal of Mathematics
5 Bulletin of the American Mathematical Society. New Series
5 Indagationes Mathematicae. New Series
5 Algebra & Number Theory
4 Acta Mathematica Vietnamica
4 Proceedings of the American Mathematical Society
4 Proceedings of the Japan Academy. Series A
4 International Journal of Mathematics
4 Algebras and Representation Theory
4 Algebraic & Geometric Topology
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
4 Journal de l’École Polytechnique – Mathématiques
3 Journal d’Analyse Mathématique
3 Letters in Mathematical Physics
3 Canadian Journal of Mathematics
3 Journal of Functional Analysis
3 Topology and its Applications
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of Mathematical Sciences (New York)
3 International Journal of Number Theory
3 Japanese Journal of Mathematics. 3rd Series
3 Science China. Mathematics
3 Kyoto Journal of Mathematics
3 Research in the Mathematical Sciences
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 Electronic Research Announcements of the American Mathematical Society
2 Geometry & Topology
2 Central European Journal of Mathematics
2 Proceedings of the Steklov Institute of Mathematics
2 Groups, Geometry, and Dynamics
2 Journal of Homotopy and Related Structures
2 Annales Mathématiques du Québec
2 Research in Number Theory
1 Communications in Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Acta Mathematica
1 Bulletin de la Société Mathématique de France
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
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Semigroup Forum
1 Tohoku Mathematical Journal. Second Series
1 Tokyo Journal of Mathematics
1 Advances in Applied Mathematics
1 Chinese Annals of Mathematics. Series B
1 Annals of Global Analysis and Geometry
1 Discrete & Computational Geometry
1 Journal of the Ramanujan Mathematical Society
1 IMRN. International Mathematics Research Notices
...and 28 more Serials
all top 5

Cited in 37 Fields

408 Number theory (11-XX)
387 Algebraic geometry (14-XX)
269 Topological groups, Lie groups (22-XX)
189 Group theory and generalizations (20-XX)
70 Algebraic topology (55-XX)
59 Manifolds and cell complexes (57-XX)
43 Combinatorics (05-XX)
42 Nonassociative rings and algebras (17-XX)
25 Differential geometry (53-XX)
24 \(K\)-theory (19-XX)
22 Associative rings and algebras (16-XX)
17 Category theory; homological algebra (18-XX)
16 Commutative algebra (13-XX)
13 Several complex variables and analytic spaces (32-XX)
12 Convex and discrete geometry (52-XX)
8 Global analysis, analysis on manifolds (58-XX)
8 Quantum theory (81-XX)
7 Abstract harmonic analysis (43-XX)
6 Dynamical systems and ergodic theory (37-XX)
4 Field theory and polynomials (12-XX)
3 Mathematical logic and foundations (03-XX)
3 Geometry (51-XX)
2 Special functions (33-XX)
2 Approximations and expansions (41-XX)
2 Information and communication theory, circuits (94-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Functional analysis (46-XX)
1 Computer science (68-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year

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