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Kottwitz, Robert Edward

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.
Homepage: https://www.amacad.org/person/robert-e-kottwitz
External Links: MGP · Wikidata · GND · IdRef

Publications by Year

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 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

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