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Author ID: taylor.richard-l Recent zbMATH articles by "Taylor, Richard"
Published as: Taylor, Richard; Taylor, R.; Taylor, R. L.
Further Spellings: Taylor, Richard Lawrence
Homepage: http://virtualmath1.stanford.edu/~rltaylor/
External Links: MacTutor · MGP · Wikidata · IdRef
Awards: Clay Research Award (2007) · Shaw Prize (2007) · Breakthrough Prize in Mathematics (2014)

Publications by Year

Citations contained in zbMATH Open

41 Publications have been cited 2,708 times in 1,477 Documents Cited by Year
The geometry and cohomology of some simple Shimura varieties. With an appendix by Vladimir G. Berkovich. Zbl 1036.11027
Harris, Michael; Taylor, Richard
378
2001
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
330
1995
On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises. Zbl 0982.11033
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard
314
2001
Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras. Zbl 1169.11020
Clozel, Laurent; Harris, Michael; Taylor, Richard
196
2008
A family of Calabi-Yau varieties and potential automorphy. II. Zbl 1264.11044
Barnet-Lamb, Tom; Geraghty, David; Harris, Michael; Taylor, Richard
193
2011
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
130
2014
On Galois representations associated to Hilbert modular forms. Zbl 0705.11031
Taylor, Richard
114
1989
Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II. Zbl 1169.11021
Taylor, Richard
113
2008
A family of Calabi-Yau varieties and potential automorphy. Zbl 1263.11061
Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
103
2010
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
69
1995
Compatibility of local and global Langlands correspondences. Zbl 1210.11118
Taylor, Richard; Yoshida, Teruyoshi
68
2007
Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
67
1994
Galois representations associated to Siegel modular forms of low weight. Zbl 0810.11033
Taylor, Richard
61
1991
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
57
1999
On the automorphy of \(l\)-adic Galois representations with small residual image. With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne. Zbl 1269.11054
Thorne, Jack
56
2012
On the meromorphic continuation of degree two \(L\)-functions. Zbl 1138.11051
Taylor, Richard
46
2007
On icosahedral Artin representations. II. Zbl 1031.11031
Taylor, Richard
46
2003
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
45
2016
\(l\)-adic representations associated to modular forms over imaginary quadratic fields. I: Lifting to \(GSp_ 4(\mathbb{Q})\). Zbl 0797.11047
Harris, Michael; Soudry, David; Taylor, Richard
37
1993
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
37
1999
Remarks on a conjecture of Fontaine and Mazur. Zbl 1047.11051
Taylor, Richard
34
2002
Galois representations. Zbl 1074.11030
Taylor, Richard
32
2004
\(l\)-adic representations associated to modular forms over imaginary quadratic fields. II. Zbl 0823.11020
Taylor, Richard
27
1994
On the \(l\)-adic cohomology of Siegel threefolds. Zbl 0810.11034
Taylor, Richard
22
1993
Lifting modular mod \(l\) representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
22
1994
Local-global compatibility for \(l=p\). II. (Compatibilité entre les correspondances de Langlands locales aux places divisant \(l=p\). II.) Zbl 1395.11081
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
21
2014
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
19
2001
Mod 2 and mod 5 icosahedral representations. Zbl 1015.11019
Shepherd-Barron, N. I.; Taylor, R.
17
1997
Automorphy and irreducibility of some \(l\)-adic representations. Zbl 1322.11055
Patrikis, Stefan; Taylor, Richard
16
2015
The image of complex conjugation in \(l\)-adic representations associated to automorphic forms. Zbl 1303.11065
Taylor, Richard
15
2012
Potential automorphy over CM fields. Zbl 1521.11034
Allen, Patrick B.; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack A.
14
2023
On Galois representations associated to Hilbert modular forms. II. Zbl 0836.11017
Taylor, Richard
13
1995
An \(\widehat{A_4}\) extension of \({\mathbb{Q}}\) attached to a non-selfdual automorphic form on \(GL(3)\). Zbl 0713.11036
Ash, Avner; Pinch, Richard; Taylor, Richard
13
1991
Representations of Galois groups associated to modular forms. Zbl 0864.11022
Taylor, Richard
10
1995
Local-global compatibility for \(l=p\). I. Zbl 1259.11057
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
9
2012
Regular models of certain Shimura varieties. Zbl 1008.11022
Harris, Michael; Taylor, Richard
7
2002
Icosahedral Galois representations. Special issue of the
Pacific Journal of Mathematics.
 Zbl 0942.11031
Taylor, Richard
5
1998
Galois representations. Zbl 1032.11027
Taylor, R.
3
2002
Representations of Galois groups associated to Hilbert modular forms. Zbl 0703.11026
Taylor, Richard
2
1990
Galois representations in arithmetic algebraic geometry. Proceedings of the symposium, Durham, UK, July 9–18, 1996. Zbl 0905.00052
2
1998
On degree 2 Galois representations over \(\mathbb{F}_4\). Zbl 0924.11043
Shepherd-Barron, Nicholas; Taylor, Richard
1
1997
Potential automorphy over CM fields. Zbl 1521.11034
Allen, Patrick B.; Calegari, Frank; Caraiani, Ana; Gee, Toby; Helm, David; Le Hung, Bao; Newton, James; Scholze, Peter; Taylor, Richard; Thorne, Jack A.
14
2023
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
45
2016
Automorphy and irreducibility of some \(l\)-adic representations. Zbl 1322.11055
Patrikis, Stefan; Taylor, Richard
16
2015
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
130
2014
Local-global compatibility for \(l=p\). II. (Compatibilité entre les correspondances de Langlands locales aux places divisant \(l=p\). II.) Zbl 1395.11081
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
21
2014
On the automorphy of \(l\)-adic Galois representations with small residual image. With an appendix by Robert Guralnick, Florian Herzig, Richard Taylor and Jack Thorne. Zbl 1269.11054
Thorne, Jack
56
2012
The image of complex conjugation in \(l\)-adic representations associated to automorphic forms. Zbl 1303.11065
Taylor, Richard
15
2012
Local-global compatibility for \(l=p\). I. Zbl 1259.11057
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
9
2012
A family of Calabi-Yau varieties and potential automorphy. II. Zbl 1264.11044
Barnet-Lamb, Tom; Geraghty, David; Harris, Michael; Taylor, Richard
193
2011
A family of Calabi-Yau varieties and potential automorphy. Zbl 1263.11061
Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
103
2010
Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras. Zbl 1169.11020
Clozel, Laurent; Harris, Michael; Taylor, Richard
196
2008
Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II. Zbl 1169.11021
Taylor, Richard
113
2008
Compatibility of local and global Langlands correspondences. Zbl 1210.11118
Taylor, Richard; Yoshida, Teruyoshi
68
2007
On the meromorphic continuation of degree two \(L\)-functions. Zbl 1138.11051
Taylor, Richard
46
2007
Galois representations. Zbl 1074.11030
Taylor, Richard
32
2004
On icosahedral Artin representations. II. Zbl 1031.11031
Taylor, Richard
46
2003
Remarks on a conjecture of Fontaine and Mazur. Zbl 1047.11051
Taylor, Richard
34
2002
Regular models of certain Shimura varieties. Zbl 1008.11022
Harris, Michael; Taylor, Richard
7
2002
Galois representations. Zbl 1032.11027
Taylor, R.
3
2002
The geometry and cohomology of some simple Shimura varieties. With an appendix by Vladimir G. Berkovich. Zbl 1036.11027
Harris, Michael; Taylor, Richard
378
2001
On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises. Zbl 0982.11033
Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard
314
2001
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
19
2001
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
57
1999
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
37
1999
Icosahedral Galois representations. Special issue of the
Pacific Journal of Mathematics.
 Zbl 0942.11031
Taylor, Richard
5
1998
Galois representations in arithmetic algebraic geometry. Proceedings of the symposium, Durham, UK, July 9–18, 1996. Zbl 0905.00052
2
1998
Mod 2 and mod 5 icosahedral representations. Zbl 1015.11019
Shepherd-Barron, N. I.; Taylor, R.
17
1997
On degree 2 Galois representations over \(\mathbb{F}_4\). Zbl 0924.11043
Shepherd-Barron, Nicholas; Taylor, Richard
1
1997
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
330
1995
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
69
1995
On Galois representations associated to Hilbert modular forms. II. Zbl 0836.11017
Taylor, Richard
13
1995
Representations of Galois groups associated to modular forms. Zbl 0864.11022
Taylor, Richard
10
1995
Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
67
1994
\(l\)-adic representations associated to modular forms over imaginary quadratic fields. II. Zbl 0823.11020
Taylor, Richard
27
1994
Lifting modular mod \(l\) representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
22
1994
\(l\)-adic representations associated to modular forms over imaginary quadratic fields. I: Lifting to \(GSp_ 4(\mathbb{Q})\). Zbl 0797.11047
Harris, Michael; Soudry, David; Taylor, Richard
37
1993
On the \(l\)-adic cohomology of Siegel threefolds. Zbl 0810.11034
Taylor, Richard
22
1993
Galois representations associated to Siegel modular forms of low weight. Zbl 0810.11033
Taylor, Richard
61
1991
An \(\widehat{A_4}\) extension of \({\mathbb{Q}}\) attached to a non-selfdual automorphic form on \(GL(3)\). Zbl 0713.11036
Ash, Avner; Pinch, Richard; Taylor, Richard
13
1991
Representations of Galois groups associated to Hilbert modular forms. Zbl 0703.11026
Taylor, Richard
2
1990
On Galois representations associated to Hilbert modular forms. Zbl 0705.11031
Taylor, Richard
114
1989
all top 5

Cited by 1,151 Authors

33 Gee, Toby
23 Thorne, Jack
23 Virdol, Cristian
22 Khare, Chandrashekhar
21 Taylor, Richard
19 Dieulefait, Luis Victor
17 Calegari, Frank
14 Bennett, Michael A.
14 Siksek, Samir
13 Berger, Tobias
13 Shin, Sug Woo
12 Geraghty, David
12 Newton, James
11 Diamond, Fred
11 Henniart, Guy M.
11 Hida, Haruzo
11 Klosin, Krzysztof
11 Patrikis, Stefan T.
11 Schimmrigk, Rolf
10 Bleher, Frauke M.
10 Emerton, Matthew
10 Guitart, Xavier
10 Harris, Michael Howard
10 Herzig, Florian
10 Liu, Tong
10 Lu, Guangshi
10 Savitt, David
10 Shparlinski, Igor E.
9 Aubert, Anne-Marie
9 Boyer, Pascal
9 Dummigan, Neil
9 Gan, Wee Teck
9 Pilloni, Vincent
9 Plymen, Roger J.
9 Skinner, Christopher M.
8 Ash, Avner
8 Böckle, Gebhard
8 Caraiani, Ana
8 Dembélé, Lassina
8 Gunnells, Paul E.
8 Ichino, Atsushi
8 Kumar, Narasimha
8 Le Hung, Bao Viet
8 Morra, Stefano
8 Scholze, Peter
8 Xu, Hongyan
7 Breuil, Christophe
7 Chen, Shih-Yu
7 Clozel, Laurent
7 Görtz, Ulrich
7 Le, Daniel
7 Levin, Brandon
7 Loeffler, David
7 Masdeu, Marc
7 Murty, Maruti Ram
7 Paškūnas, Vytautas
7 Pasten, Hector V.
7 Sorensen, Claus Mazanti
7 Thorner, Jesse
7 Urban, Eric
7 Wiese, Gabor
6 Barnet-Lamb, Thomas
6 Bushnell, Colin John
6 Castella, Francesc
6 Chenevier, Gaëtan
6 Dimitrov, Mladen
6 Gun, Sanoli
6 Helm, David
6 Jiang, Dihua
6 Johansson, Christian
6 Kassaei, Payman L.
6 Kisin, Mark
6 Lan, Kai-Wen
6 Laurinčikas, Antanas
6 McConnell, Mark
6 Mieda, Yoichi
6 Miller, Steven J.
6 Şengün, Mehmet Haluk
6 Stoll, Michael
6 Yamauchi, Takuya
5 Baum, Paul Frank
5 Blomer, Valentin
5 Chen, Imin
5 Chida, Masataka
5 Darmon, Henri René
5 Fakhruddin, Najmuddin
5 Fité, Francesc
5 Freitas, Nuno
5 Guerberoff, Lucio
5 Hua, Guodong
5 James, Kevin
5 Jarvis, Frazer
5 Jiang, Yujiao
5 Jiménez-Urroz, Jorge
5 Kim, Chan-Ho
5 Li, Chao
5 Liu, Yifeng
5 Mazur, Barry
5 Pacetti, Ariel
5 Sarnak, Peter Clive
...and 1,051 more Authors
all top 5

Cited in 188 Serials

145 Journal of Number Theory
62 Duke Mathematical Journal
61 Compositio Mathematica
51 Inventiones Mathematicae
49 International Journal of Number Theory
46 Mathematische Annalen
43 Transactions of the American Mathematical Society
37 Journal de Théorie des Nombres de Bordeaux
32 Journal of the Institute of Mathematics of Jussieu
31 Journal für die Reine und Angewandte Mathematik
31 Mathematische Zeitschrift
29 Algebra & Number Theory
28 Bulletin of the American Mathematical Society. New Series
27 Journal of the American Mathematical Society
27 Research in Number Theory
26 Manuscripta Mathematica
25 Proceedings of the American Mathematical Society
25 The Ramanujan Journal
24 Mathematics of Computation
24 Experimental Mathematics
23 Journal of Algebra
22 Annales de l’Institut Fourier
19 Israel Journal of Mathematics
18 Forum of Mathematics, Sigma
17 Forum Mathematicum
17 Annals of Mathematics. Second Series
14 Advances in Mathematics
13 Functiones et Approximatio. Commentarii Mathematici
13 Memoirs of the American Mathematical Society
13 Research in the Mathematical Sciences
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Annales Mathématiques du Québec
11 Pacific Journal of Mathematics
11 Forum of Mathematics, Pi
10 Journal of the European Mathematical Society (JEMS)
9 Acta Arithmetica
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Publications Mathématiques
8 Journal of the London Mathematical Society. Second Series
8 Selecta Mathematica. New Series
8 Documenta Mathematica
8 Journal de l’École Polytechnique – Mathématiques
7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
7 Archiv der Mathematik
7 Canadian Journal of Mathematics
7 Journal of the Ramanujan Mathematical Society
7 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
7 Science China. Mathematics
6 Bulletin de la Société Mathématique de France
6 Glasgow Mathematical Journal
6 Proceedings of the London Mathematical Society. Third Series
6 Representation Theory
6 Kyoto Journal of Mathematics
5 Bulletin of the London Mathematical Society
5 Nagoya Mathematical Journal
5 Finite Fields and their Applications
5 Acta Mathematica Sinica. English Series
4 American Mathematical Monthly
4 Bulletin of the Australian Mathematical Society
4 Indian Journal of Pure & Applied Mathematics
4 Nuclear Physics. B
4 Revista Matemática Iberoamericana
4 Geometric and Functional Analysis. GAFA
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Indagationes Mathematicae. New Series
4 Journal of Algebraic Geometry
4 LMS Journal of Computation and Mathematics
4 Japanese Journal of Mathematics. 3rd Series
4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
3 Journal of Mathematical Analysis and Applications
3 Lithuanian Mathematical Journal
3 Acta Mathematica Vietnamica
3 Canadian Mathematical Bulletin
3 Journal of the Mathematical Society of Japan
3 Mathematische Nachrichten
3 Mathematika
3 Tokyo Journal of Mathematics
3 Oberwolfach Reports
3 Tunisian Journal of Mathematics
3 Peking Mathematical Journal
2 Modern Physics Letters A
2 International Journal of Modern Physics A
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal d’Analyse Mathématique
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Journal of Geometry and Physics
2 American Journal of Mathematics
2 Geometriae Dedicata
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Bulletin of the Iranian Mathematical Society
2 Journal of Symbolic Computation
2 International Journal of Mathematics
2 Elemente der Mathematik
2 Proceedings of the National Academy of Sciences of the United States of America
2 Expositiones Mathematicae
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Taiwanese Journal of Mathematics
2 Algebras and Representation Theory
2 Mathematical Modelling and Analysis
...and 88 more Serials
all top 5

Cited in 42 Fields

1,344 Number theory (11-XX)
369 Algebraic geometry (14-XX)
208 Topological groups, Lie groups (22-XX)
82 Group theory and generalizations (20-XX)
26 Several complex variables and analytic spaces (32-XX)
18 Quantum theory (81-XX)
15 Commutative algebra (13-XX)
14 Associative rings and algebras (16-XX)
14 Functions of a complex variable (30-XX)
12 Field theory and polynomials (12-XX)
12 Difference and functional equations (39-XX)
11 Combinatorics (05-XX)
9 History and biography (01-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 General and overarching topics; collections (00-XX)
8 \(K\)-theory (19-XX)
8 Partial differential equations (35-XX)
7 Nonassociative rings and algebras (17-XX)
7 Ordinary differential equations (34-XX)
7 Manifolds and cell complexes (57-XX)
7 Probability theory and stochastic processes (60-XX)
7 Relativity and gravitational theory (83-XX)
6 Special functions (33-XX)
6 Functional analysis (46-XX)
6 Computer science (68-XX)
5 Dynamical systems and ergodic theory (37-XX)
5 Algebraic topology (55-XX)
5 Information and communication theory, circuits (94-XX)
4 Abstract harmonic analysis (43-XX)
3 Mathematical logic and foundations (03-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Category theory; homological algebra (18-XX)
3 Differential geometry (53-XX)
3 Mathematics education (97-XX)
2 Operator theory (47-XX)
2 Geometry (51-XX)
2 Biology and other natural sciences (92-XX)
1 Calculus of variations and optimal control; optimization (49-XX)
1 Convex and discrete geometry (52-XX)
1 General topology (54-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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