×
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 2,865 times in 1,570 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
398
2001
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
355
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
329
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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.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
213
2008
A family of Calabi-Yau varieties and potential automorphy. II. Zbl 1264.11044
Barnet-Lamb, Tom; Geraghty, David; Harris, Michael; Taylor, Richard
205
2011
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
140
2014
On Galois representations associated to Hilbert modular forms. Zbl 0705.11031
Taylor, Richard
116
1989
Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II. Zbl 1169.11021
Taylor, Richard
115
2008
A family of Calabi-Yau varieties and potential automorphy. Zbl 1263.11061
Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
107
2010
Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
71
1994
Galois representations associated to Siegel modular forms of low weight. Zbl 0810.11033
Taylor, Richard
69
1991
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
66
2007
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
59
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 rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
48
2016
On the meromorphic continuation of degree two \(L\)-functions. Zbl 1138.11051
Taylor, Richard
47
2007
On icosahedral Artin representations. II. Zbl 1031.11031
Taylor, Richard
46
2003
\(l\)-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
38
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
36
2002
Galois representations. Zbl 1074.11030
Taylor, Richard
34
2004
\(l\)-adic representations associated to modular forms over imaginary quadratic fields. II. Zbl 0823.11020
Taylor, Richard
28
1994
Lifting modular mod \(l\) representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
24
1994
On the \(l\)-adic cohomology of Siegel threefolds. Zbl 0810.11034
Taylor, Richard
22
1993
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
20
2014
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
19
2001
Automorphy and irreducibility of some \(l\)-adic representations. Zbl 1322.11055
Patrikis, Stefan; Taylor, Richard
19
2015
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.
18
2023
The image of complex conjugation in \(l\)-adic representations associated to automorphic forms. Zbl 1303.11065
Taylor, Richard
17
2012
Mod 2 and mod 5 icosahedral representations. Zbl 1015.11019
Shepherd-Barron, N. I.; Taylor, R.
17
1997
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
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
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. Zbl 0942.11031
Taylor, Richard
4
1998
Galois representations. Zbl 1032.11027
Taylor, R.
3
2002
Galois representations in arithmetic algebraic geometry. Proceedings of the symposium, Durham, UK, July 9–18, 1996. Zbl 0905.00052
2
1998
Representations of Galois groups associated to Hilbert modular forms. Zbl 0703.11026
Taylor, Richard
2
1990
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.
18
2023
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
48
2016
Automorphy and irreducibility of some \(l\)-adic representations. Zbl 1322.11055
Patrikis, Stefan; Taylor, Richard
19
2015
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
140
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
20
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
17
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
205
2011
A family of Calabi-Yau varieties and potential automorphy. Zbl 1263.11061
Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
107
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
213
2008
Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II. Zbl 1169.11021
Taylor, Richard
115
2008
Compatibility of local and global Langlands correspondences. Zbl 1210.11118
Taylor, Richard; Yoshida, Teruyoshi
66
2007
On the meromorphic continuation of degree two \(L\)-functions. Zbl 1138.11051
Taylor, Richard
47
2007
Galois representations. Zbl 1074.11030
Taylor, Richard
34
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
36
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
398
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
329
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
59
1999
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
37
1999
Icosahedral Galois representations. Zbl 0942.11031
Taylor, Richard
4
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
355
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
13
1995
Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
71
1994
\(l\)-adic representations associated to modular forms over imaginary quadratic fields. II. Zbl 0823.11020
Taylor, Richard
28
1994
Lifting modular mod \(l\) representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
24
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
38
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
69
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
116
1989
all top 5

Cited by 1,212 Authors

33 Gee, Toby
25 Khare, Chandrashekhar
24 Thorne, Jack
23 Virdol, Cristian
21 Taylor, Richard
19 Dieulefait, Luis Victor
17 Calegari, Frank
15 Shin, Sug Woo
14 Bennett, Michael A.
14 Siksek, Samir
13 Berger, Tobias
12 Geraghty, David
12 Henniart, Guy M.
12 Newton, James
11 Diamond, Fred
11 Harris, Michael Howard
11 Hida, Haruzo
11 Klosin, Krzysztof
11 Lu, Guangshi
11 Morra, Stefano
11 Patrikis, Stefan T.
11 Schimmrigk, Rolf
10 Aubert, Anne-Marie
10 Bleher, Frauke M.
10 Böckle, Gebhard
10 Emerton, Matthew
10 Gan, Wee Teck
10 Guitart, Xavier
10 Herzig, Florian
10 Le Hung, Bao Viet
10 Le, Daniel
10 Liu, Tong
10 Savitt, David
10 Shparlinski, Igor E.
9 Boyer, Pascal
9 Caraiani, Ana
9 Dembélé, Lassina
9 Dummigan, Neil
9 Pilloni, Vincent
9 Plymen, Roger J.
9 Scholze, Peter
9 Skinner, Christopher M.
9 Xu, Hongyan
8 Ash, Avner
8 Breuil, Christophe
8 Castella, Francesc
8 Clozel, Laurent
8 Gun, Sanoli
8 Gunnells, Paul E.
8 Ichino, Atsushi
8 Kumar, Narasimha
8 Levin, Brandon
8 Pacetti, Ariel Martín
8 Pasten, Hector V.
8 Ray, Anwesh
8 Wiese, Gabor
8 Yamauchi, Takuya
7 Chen, Shih-Yu
7 Dimitrov, Mladen
7 Görtz, Ulrich
7 Haldar, Goutam
7 Liu, Yifeng
7 Loeffler, David
7 Masdeu, Marc
7 Murty, Maruti Ram
7 Paškūnas, Vytautas
7 Sorensen, Claus Mazanti
7 Stoll, Michael
7 Thorner, Jesse
7 Urban, Eric
6 Barnet-Lamb, Thomas
6 Bushnell, Colin John
6 Chenevier, Gaëtan
6 Fakhruddin, Najmuddin
6 Helm, David
6 Hua, Guodong
6 Jiang, Dihua
6 Johansson, Christian
6 Kassaei, Payman L.
6 Kim, Chan-Ho
6 Kisin, Mark
6 Lan, Kai-Wen
6 Laurinčikas, Antanas
6 McConnell, Mark
6 Mieda, Yoichi
6 Miller, Steven J.
6 Sarnak, Peter Clive
6 Şengün, Mehmet Haluk
6 Sujatha, Ramdorai
6 Voight, John Michael
6 Zhang, Wei
5 Baum, Paul Frank
5 Beuzart-Plessis, Raphaël
5 Blomer, Valentin
5 Chen, Imin
5 Chida, Masataka
5 Choiy, Kwangho
5 Darmon, Henri René
5 Deo, Shaunak V.
5 Fité, Francesc
...and 1,112 more Authors
all top 5

Cited in 196 Serials

149 Journal of Number Theory
64 Compositio Mathematica
62 Duke Mathematical Journal
52 Inventiones Mathematicae
50 Mathematische Annalen
50 International Journal of Number Theory
46 Transactions of the American Mathematical Society
38 Journal de Théorie des Nombres de Bordeaux
35 Journal of the Institute of Mathematics of Jussieu
34 Mathematische Zeitschrift
31 Journal für die Reine und Angewandte Mathematik
31 Algebra & Number Theory
28 Bulletin of the American Mathematical Society. New Series
28 Research in Number Theory
27 Manuscripta Mathematica
27 Journal of the American Mathematical Society
27 The Ramanujan Journal
26 Proceedings of the American Mathematical Society
25 Journal of Algebra
24 Mathematics of Computation
24 Experimental Mathematics
23 Annales de l’Institut Fourier
20 Israel Journal of Mathematics
20 Forum of Mathematics, Sigma
18 Annals of Mathematics. Second Series
17 Forum Mathematicum
16 Memoirs of the American Mathematical Society
15 Advances in Mathematics
15 Annales Mathématiques du Québec
14 Research in the Mathematical Sciences
13 Functiones et Approximatio. Commentarii Mathematici
12 Acta Arithmetica
12 Pacific Journal of Mathematics
12 Comptes Rendus. Mathématique. Académie des Sciences, Paris
12 Forum of Mathematics, Pi
11 Proceedings of the London Mathematical Society. Third Series
10 Journal of the London Mathematical Society. Second Series
10 Journal of the European Mathematical Society (JEMS)
9 Selecta Mathematica. New Series
9 Documenta Mathematica
8 Mathematical Proceedings of the Cambridge Philosophical Society
8 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
8 Publications Mathématiques
8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
8 Journal de l’École Polytechnique – Mathématiques
7 Archiv der Mathematik
7 Bulletin of the London Mathematical Society
7 Canadian Journal of Mathematics
7 Journal of the Ramanujan Mathematical Society
7 Science China. Mathematics
6 Bulletin de la Société Mathématique de France
6 Glasgow Mathematical Journal
6 Finite Fields and their Applications
6 Representation Theory
6 Acta Mathematica Sinica. English Series
6 Kyoto Journal of Mathematics
5 Canadian Mathematical Bulletin
5 Nagoya Mathematical Journal
5 Indagationes Mathematicae. New Series
4 American Mathematical Monthly
4 Bulletin of the Australian Mathematical Society
4 Indian Journal of Pure & Applied Mathematics
4 Nuclear Physics. B
4 American Journal of Mathematics
4 Revista Matemática Iberoamericana
4 Geometric and Functional Analysis. GAFA
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
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
4 Peking Mathematical Journal
3 Journal of Mathematical Analysis and Applications
3 Lithuanian Mathematical Journal
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematica Vietnamica
3 Journal of the Mathematical Society of Japan
3 Mathematische Nachrichten
3 Mathematika
3 Monatshefte für Mathematik
3 Tokyo Journal of Mathematics
3 Oberwolfach Reports
3 Analysis and Mathematical Physics
3 Tunisian Journal of Mathematics
3 Essential Number Theory
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 Journal of Geometry and Physics
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 Electronic Journal of Differential Equations (EJDE)
...and 96 more Serials
all top 5

Cited in 43 Fields

1,424 Number theory (11-XX)
393 Algebraic geometry (14-XX)
224 Topological groups, Lie groups (22-XX)
86 Group theory and generalizations (20-XX)
31 Several complex variables and analytic spaces (32-XX)
20 Functions of a complex variable (30-XX)
19 Quantum theory (81-XX)
17 Difference and functional equations (39-XX)
15 Commutative algebra (13-XX)
15 Associative rings and algebras (16-XX)
12 Field theory and polynomials (12-XX)
11 Combinatorics (05-XX)
9 History and biography (01-XX)
9 Nonassociative rings and algebras (17-XX)
9 Partial differential equations (35-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 General and overarching topics; collections (00-XX)
8 \(K\)-theory (19-XX)
8 Ordinary differential equations (34-XX)
8 Manifolds and cell complexes (57-XX)
8 Computer science (68-XX)
7 Algebraic topology (55-XX)
7 Probability theory and stochastic processes (60-XX)
7 Relativity and gravitational theory (83-XX)
7 Information and communication theory, circuits (94-XX)
6 Special functions (33-XX)
6 Functional analysis (46-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Category theory; homological algebra (18-XX)
4 Abstract harmonic analysis (43-XX)
3 Mathematical logic and foundations (03-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 Numerical analysis (65-XX)
1 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.