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Taylor, Richard Lawrence

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Author ID: taylor.richard-l Recent zbMATH articles by "Taylor, Richard Lawrence"
Published as: Taylor, R.; Taylor, R. L.; Taylor, Richard
Homepage: http://www.math.ias.edu/~rtaylor/
External Links: MGP · Wikidata
Awards: Clay Research Award (2007) · Shaw Prize (2007) · Breakthrough Prize in Mathematics (2014)
Documents Indexed: 42 Publications since 1989, including 3 Books
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH

38 Publications have been cited 1,886 times in 1,050 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
264
2001
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
242
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
236
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 With Appendix A, summarizing unpublished work of Russ Mann, and Appendix B by Marie-France Vignéras.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
127
2008
A family of Calabi-Yau varieties and potential automorphy. II. Zbl 1264.11044
Barnet-Lamb, Tom; Geraghty, David; Harris, Michael; Taylor, Richard
124
2011
On Galois representations associated to Hilbert modular forms. Zbl 0705.11031
Taylor, Richard
93
1989
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
79
2014
Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II. Zbl 1169.11021
Taylor, Richard
74
2008
A family of Calabi-Yau varieties and potential automorphy. Zbl 1263.11061
Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
68
2010
Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
53
1994
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
46
1999
Galois representations associated to Siegel modular forms of low weight. Zbl 0810.11033
Taylor, Richard
45
1991
Compatibility of local and global Langlands correspondences. Zbl 1210.11118
Taylor, Richard; Yoshida, Teruyoshi
44
2007
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
43
1995
On icosahedral Artin representations. II. Zbl 1031.11031
Taylor, Richard
34
2003
On the meromorphic continuation of degree two \(L\)-functions. Zbl 1138.11051
Taylor, Richard
33
2007
\(l\)-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
30
1993
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
28
1999
Remarks on a conjecture of Fontaine and Mazur. Zbl 1047.11051
Taylor, Richard
24
2002
Galois representations. Zbl 1074.11030
Taylor, Richard
21
2004
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
19
2016
\(l\)-adic representations associated to modular forms over imaginary quadratic fields. II. Zbl 0823.11020
Taylor, Richard
19
1994
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
18
2001
On the \(l\)-adic cohomology of Siegel threefolds. Zbl 0810.11034
Taylor, Richard
16
1993
Lifting modular mod \(l\) representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
15
1994
Mod 2 and mod 5 icosahedral representations. Zbl 1015.11019
Shepherd-Barron, N. I.; Taylor, R.
13
1997
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
12
1991
Local-global compatibility for \(l=p\). II. Zbl 1395.11081
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
11
2014
The image of complex conjugation in \(l\)-adic representations associated to automorphic forms. Zbl 1303.11065
Taylor, Richard
10
2012
Local-global compatibility for \(l=p\). I. Zbl 1259.11057
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
8
2012
Regular models of certain Shimura varieties. Zbl 1008.11022
Harris, Michael; Taylor, Richard
8
2002
On Galois representations associated to Hilbert modular forms. II. Zbl 0836.11017
Taylor, Richard
8
1995
Representations of Galois groups associated to modular forms. Zbl 0864.11022
Taylor, Richard
7
1995
Automorphy and irreducibility of some \(l\)-adic representations. Zbl 1322.11055
Patrikis, Stefan; Taylor, Richard
5
2015
Icosahedral Galois representations. Zbl 0942.11031
Taylor, Richard
4
1998
Galois representations. Zbl 1032.11027
Taylor, R.
2
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
Scholl, A. J. (ed.); Taylor, R. L. (ed.)
1
1998
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
19
2016
Automorphy and irreducibility of some \(l\)-adic representations. Zbl 1322.11055
Patrikis, Stefan; Taylor, Richard
5
2015
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
79
2014
Local-global compatibility for \(l=p\). II. Zbl 1395.11081
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
11
2014
The image of complex conjugation in \(l\)-adic representations associated to automorphic forms. Zbl 1303.11065
Taylor, Richard
10
2012
Local-global compatibility for \(l=p\). I. Zbl 1259.11057
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
8
2012
A family of Calabi-Yau varieties and potential automorphy. II. Zbl 1264.11044
Barnet-Lamb, Tom; Geraghty, David; Harris, Michael; Taylor, Richard
124
2011
A family of Calabi-Yau varieties and potential automorphy. Zbl 1263.11061
Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
68
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
127
2008
Automorphy for some \(l\)-adic lifts of automorphic mod \(l\) Galois representations. II. Zbl 1169.11021
Taylor, Richard
74
2008
Compatibility of local and global Langlands correspondences. Zbl 1210.11118
Taylor, Richard; Yoshida, Teruyoshi
44
2007
On the meromorphic continuation of degree two \(L\)-functions. Zbl 1138.11051
Taylor, Richard
33
2007
Galois representations. Zbl 1074.11030
Taylor, Richard
21
2004
On icosahedral Artin representations. II. Zbl 1031.11031
Taylor, Richard
34
2003
Remarks on a conjecture of Fontaine and Mazur. Zbl 1047.11051
Taylor, Richard
24
2002
Regular models of certain Shimura varieties. Zbl 1008.11022
Harris, Michael; Taylor, Richard
8
2002
Galois representations. Zbl 1032.11027
Taylor, R.
2
2002
The geometry and cohomology of some simple Shimura varieties. With an appendix by Vladimir G. Berkovich. Zbl 1036.11027
Harris, Michael; Taylor, Richard
264
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
236
2001
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
18
2001
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
46
1999
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
28
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
Scholl, A. J. (ed.); Taylor, R. L. (ed.)
1
1998
Mod 2 and mod 5 icosahedral representations. Zbl 1015.11019
Shepherd-Barron, N. I.; Taylor, R.
13
1997
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
242
1995
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
43
1995
On Galois representations associated to Hilbert modular forms. II. Zbl 0836.11017
Taylor, Richard
8
1995
Representations of Galois groups associated to modular forms. Zbl 0864.11022
Taylor, Richard
7
1995
Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
53
1994
\(l\)-adic representations associated to modular forms over imaginary quadratic fields. II. Zbl 0823.11020
Taylor, Richard
19
1994
Lifting modular mod \(l\) representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
15
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
30
1993
On the \(l\)-adic cohomology of Siegel threefolds. Zbl 0810.11034
Taylor, Richard
16
1993
Galois representations associated to Siegel modular forms of low weight. Zbl 0810.11033
Taylor, Richard
45
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
12
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
93
1989
all top 5

Cited by 833 Authors

28 Gee, Toby
23 Virdol, Cristian
19 Taylor, Richard Lawrence
17 Dieulefait, Luis Victor
14 Khare, Chandrashekhar
13 Calegari, Frank
13 Thorne, Jack A.
12 Geraghty, David
11 Bennett, Michael A.
11 Siksek, Samir
10 Bleher, Frauke M.
10 Diamond, Fred
10 Savitt, David
10 Shparlinski, Igor E.
9 Berger, Tobias
9 Emerton, Matthew
9 Henniart, Guy M.
9 Klosin, Krzysztof
9 Liu, Tong
9 Schimmrigk, Rolf
9 Shin, Sug Woo
8 Gan, Wee Teck
8 Guitart, Xavier
8 Harris, Michael Howard
8 Herzig, Florian
8 Plymen, Roger J.
7 Ash, Avner
7 Aubert, Anne-Marie
7 Dummigan, Neil
7 Ichino, Atsushi
7 Lu, Guangshi
7 Patrikis, Stefan T.
7 Pilloni, Vincent
7 Scholze, Peter
6 Barnet-Lamb, Thomas
6 Breuil, Christophe
6 Bushnell, Colin J.
6 Chenevier, Gaëtan
6 Clozel, Laurent
6 Gunnells, Paul E.
6 Hida, Haruzo
6 Kassaei, Payman L.
6 Kumar, Narasimha
6 Le Hung, Bao V.
6 Masdeu, Marc
6 Murty, Maruti Ram
6 Newton, James
6 Skinner, Christopher M.
6 Sorensen, Claus Mazanti
6 Stein, William A.
6 Wiese, Gabor
5 Baum, Paul Frank
5 Chida, Masataka
5 Darmon, Henri René
5 Dembélé, Lassina
5 Dimitrov, Mladen
5 Freitas, Nuno
5 Guerberoff, Lucio
5 Jarvis, Frazer
5 Jiménez-Urroz, Jorge
5 Kisin, Mark
5 Lan, Kai-Wen
5 Levin, Brandon
5 Mazur, Barry
5 McConnell, Mark
5 Mieda, Yoichi
5 Miller, Steven J.
5 Morra, Stefano
5 Pacetti, Ariel
5 Sarnak, Peter Clive
5 Şengün, Mehmet Haluk
5 Solleveld, Maarten
5 Stoll, Michael
5 Stroh, Benoît
5 Templier, Nicolas
5 Urban, Eric
5 Wiles, Andrew John
5 Wu, Jie
4 Baier, Stephan
4 Bellaïche, Joël
4 Böckle, Gebhard
4 Boyer, Pascal
4 Buzzard, Kevin
4 Caraiani, Ana
4 Chen, Imin
4 Chinburg, Ted
4 Choiy, Kwangho
4 Dat, Jean-François
4 Delaunay, Christophe
4 Elliott, Peter D. T. A.
4 Gao, Hui
4 Ghate, Eknath P.
4 González, Josep R.
4 Görtz, Ulrich
4 Gun, Sanoli
4 James, Kevin
4 Jiang, Dihua
4 Johansson, Christian
4 Laurinčikas, Antanas
4 Le, Daniel
...and 733 more Authors
all top 5

Cited in 144 Serials

113 Journal of Number Theory
57 Duke Mathematical Journal
53 Compositio Mathematica
42 Inventiones Mathematicae
38 International Journal of Number Theory
37 Mathematische Annalen
37 Transactions of the American Mathematical Society
29 Journal de Théorie des Nombres de Bordeaux
27 Bulletin of the American Mathematical Society. New Series
25 Journal of the American Mathematical Society
22 Journal für die Reine und Angewandte Mathematik
22 Proceedings of the American Mathematical Society
21 Manuscripta Mathematica
21 Experimental Mathematics
20 Mathematics of Computation
19 Journal of the Institute of Mathematics of Jussieu
18 Israel Journal of Mathematics
18 Journal of Algebra
18 Mathematische Zeitschrift
17 Annales de l’Institut Fourier
15 Annals of Mathematics. Second Series
14 The Ramanujan Journal
12 Functiones et Approximatio. Commentarii Mathematici
12 Algebra & Number Theory
12 Forum of Mathematics, Sigma
11 Advances in Mathematics
11 Comptes Rendus. Mathématique. Académie des Sciences, Paris
11 Research in Number Theory
10 Forum Mathematicum
9 Memoirs of the American Mathematical Society
8 Annales Mathématiques du Québec
8 Research in the Mathematical Sciences
7 Archiv der Mathematik
6 Acta Arithmetica
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Glasgow Mathematical Journal
6 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
6 Selecta Mathematica. New Series
6 Journal de l’École Polytechnique – Mathématiques
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 Canadian Journal of Mathematics
5 Publications Mathématiques
5 Pacific Journal of Mathematics
5 Documenta Mathematica
5 Kyoto Journal of Mathematics
5 Forum of Mathematics, Pi
4 Nagoya Mathematical Journal
4 Journal of Algebraic Geometry
4 LMS Journal of Computation and Mathematics
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
4 Japanese Journal of Mathematics. 3rd Series
4 Science China. Mathematics
3 Bulletin of the Australian Mathematical Society
3 Nuclear Physics. B
3 Acta Mathematica Vietnamica
3 Journal of the London Mathematical Society. Second Series
3 Journal of the Mathematical Society of Japan
3 Proceedings of the London Mathematical Society. Third Series
3 Tokyo Journal of Mathematics
3 Revista Matemática Iberoamericana
3 Representation Theory
2 International Journal of Modern Physics A
2 American Mathematical Monthly
2 Indian Journal of Pure & Applied Mathematics
2 Journal of Mathematical Analysis and Applications
2 Lithuanian Mathematical Journal
2 Mathematical Notes
2 Journal of Geometry and Physics
2 Geometriae Dedicata
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 International Journal of Mathematics
2 Geometric and Functional Analysis. GAFA
2 Elemente der Mathematik
2 Proceedings of the National Academy of Sciences of the United States of America
2 Expositiones Mathematicae
2 Indagationes Mathematicae. New Series
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Taiwanese Journal of Mathematics
2 Journal of the Australian Mathematical Society
2 Milan Journal of Mathematics
2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Modern Physics Letters A
1 Communications in Algebra
1 Communications in Mathematical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal d’Analyse Mathématique
1 The Mathematical Gazette
1 Mathematische Semesterberichte
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Acta Mathematica
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Journal of Combinatorial Theory. Series B
1 Journal of Computational and Applied Mathematics
1 Mathematische Nachrichten
1 Mathematika
1 Monatshefte für Mathematik
1 Osaka Journal of Mathematics
...and 44 more Serials
all top 5

Cited in 37 Fields

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

Citations by Year

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