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## Taylor, Richard Lawrence

Compute Distance To:
 Author ID: taylor.richard-l 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
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#### Co-Authors

 16 single-authored 7 Harris, Michael Howard 5 Diamond, Fred 4 Barnet-Lamb, Thomas 4 Geraghty, David 4 Shepherd-Barron, Nicholas Ian 3 Gee, Toby 2 Buzzard, Kevin 2 Conrad, Brian 1 Ash, Avner 1 Breuil, Christophe 1 Clozel, Laurent 1 Darmon, Henri René 1 Dickinson, Mark R. 1 Lan, Kai-Wen 1 Patrikis, Stefan T. 1 Pinch, Richard G. E. 1 Scholl, Anthony James 1 Soudry, David 1 Thorne, Jack A. 1 Wiles, Andrew John 1 Yoshida, Teruyoshi
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#### Serials

 5 Inventiones Mathematicae 4 Journal of the American Mathematical Society 4 Annals of Mathematics. Second Series 3 Duke Mathematical Journal 2 Publications Mathématiques 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 American Journal of Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Compositio Mathematica 1 Mathematische Annalen 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Proceedings of the National Academy of Sciences of the United States of America 1 Bulletin of the Institute of Combinatorics and its Applications 1 Documenta Mathematica 1 The Asian Journal of Mathematics 1 Journal of the Institute of Mathematics of Jussieu 1 Annals of Mathematics Studies 1 London Mathematical Society Lecture Note Series 1 Algebra & Number Theory 1 Research in the Mathematical Sciences

#### Fields

 40 Number theory (11-XX) 15 Algebraic geometry (14-XX) 5 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX)

#### 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
2001
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
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
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
2008
A family of Calabi-Yau varieties and potential automorphy. II. Zbl 1264.11044
Barnet-Lamb, Tom; Geraghty, David; Harris, Michael; Taylor, Richard
2011
On Galois representations associated to Hilbert modular forms. Zbl 0705.11031
Taylor, Richard
1989
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2014
Automorphy for some $$l$$-adic lifts of automorphic mod $$l$$ Galois representations. II. Zbl 1169.11021
Taylor, Richard
2008
A family of Calabi-Yau varieties and potential automorphy. Zbl 1263.11061
Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
2010
Non-optimal levels of $$\text{mod }l$$ modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
1994
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
1999
Galois representations associated to Siegel modular forms of low weight. Zbl 0810.11033
Taylor, Richard
1991
Compatibility of local and global Langlands correspondences. Zbl 1210.11118
Taylor, Richard; Yoshida, Teruyoshi
2007
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
1995
On icosahedral Artin representations. II. Zbl 1031.11031
Taylor, Richard
2003
On the meromorphic continuation of degree two $$L$$-functions. Zbl 1138.11051
Taylor, Richard
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
1993
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
1999
Remarks on a conjecture of Fontaine and Mazur. Zbl 1047.11051
Taylor, Richard
2002
Galois representations. Zbl 1074.11030
Taylor, Richard
2004
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
2016
$$l$$-adic representations associated to modular forms over imaginary quadratic fields. II. Zbl 0823.11020
Taylor, Richard
1994
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
2001
On the $$l$$-adic cohomology of Siegel threefolds. Zbl 0810.11034
Taylor, Richard
1993
Lifting modular mod $$l$$ representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
1994
Mod 2 and mod 5 icosahedral representations. Zbl 1015.11019
Shepherd-Barron, N. I.; Taylor, R.
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
1991
Local-global compatibility for $$l=p$$. II. Zbl 1395.11081
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2014
The image of complex conjugation in $$l$$-adic representations associated to automorphic forms. Zbl 1303.11065
Taylor, Richard
2012
Local-global compatibility for $$l=p$$. I. Zbl 1259.11057
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2012
Regular models of certain Shimura varieties. Zbl 1008.11022
Harris, Michael; Taylor, Richard
2002
On Galois representations associated to Hilbert modular forms. II. Zbl 0836.11017
Taylor, Richard
1995
Representations of Galois groups associated to modular forms. Zbl 0864.11022
Taylor, Richard
1995
Automorphy and irreducibility of some $$l$$-adic representations. Zbl 1322.11055
Patrikis, Stefan; Taylor, Richard
2015
Icosahedral Galois representations. Zbl 0942.11031
Taylor, Richard
1998
Galois representations. Zbl 1032.11027
Taylor, R.
2002
Representations of Galois groups associated to Hilbert modular forms. Zbl 0703.11026
Taylor, Richard
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.)
1998
On the rigid cohomology of certain Shimura varieties. Zbl 1410.11040
Harris, Michael; Lan, Kai-Wen; Taylor, Richard; Thorne, Jack
2016
Automorphy and irreducibility of some $$l$$-adic representations. Zbl 1322.11055
Patrikis, Stefan; Taylor, Richard
2015
Potential automorphy and change of weight. Zbl 1310.11060
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2014
Local-global compatibility for $$l=p$$. II. Zbl 1395.11081
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2014
The image of complex conjugation in $$l$$-adic representations associated to automorphic forms. Zbl 1303.11065
Taylor, Richard
2012
Local-global compatibility for $$l=p$$. I. Zbl 1259.11057
Barnet-Lamb, Thomas; Gee, Toby; Geraghty, David; Taylor, Richard
2012
A family of Calabi-Yau varieties and potential automorphy. II. Zbl 1264.11044
Barnet-Lamb, Tom; Geraghty, David; Harris, Michael; Taylor, Richard
2011
A family of Calabi-Yau varieties and potential automorphy. Zbl 1263.11061
Harris, Michael; Shepherd-Barron, Nick; Taylor, Richard
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
2008
Automorphy for some $$l$$-adic lifts of automorphic mod $$l$$ Galois representations. II. Zbl 1169.11021
Taylor, Richard
2008
Compatibility of local and global Langlands correspondences. Zbl 1210.11118
Taylor, Richard; Yoshida, Teruyoshi
2007
On the meromorphic continuation of degree two $$L$$-functions. Zbl 1138.11051
Taylor, Richard
2007
Galois representations. Zbl 1074.11030
Taylor, Richard
2004
On icosahedral Artin representations. II. Zbl 1031.11031
Taylor, Richard
2003
Remarks on a conjecture of Fontaine and Mazur. Zbl 1047.11051
Taylor, Richard
2002
Regular models of certain Shimura varieties. Zbl 1008.11022
Harris, Michael; Taylor, Richard
2002
Galois representations. Zbl 1032.11027
Taylor, R.
2002
The geometry and cohomology of some simple Shimura varieties. With an appendix by Vladimir G. Berkovich. Zbl 1036.11027
Harris, Michael; Taylor, Richard
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
2001
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
2001
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
1999
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
1999
Icosahedral Galois representations. Zbl 0942.11031
Taylor, Richard
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.)
1998
Mod 2 and mod 5 icosahedral representations. Zbl 1015.11019
Shepherd-Barron, N. I.; Taylor, R.
1997
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
1995
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
1995
On Galois representations associated to Hilbert modular forms. II. Zbl 0836.11017
Taylor, Richard
1995
Representations of Galois groups associated to modular forms. Zbl 0864.11022
Taylor, Richard
1995
Non-optimal levels of $$\text{mod }l$$ modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
1994
$$l$$-adic representations associated to modular forms over imaginary quadratic fields. II. Zbl 0823.11020
Taylor, Richard
1994
Lifting modular mod $$l$$ representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
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
1993
On the $$l$$-adic cohomology of Siegel threefolds. Zbl 0810.11034
Taylor, Richard
1993
Galois representations associated to Siegel modular forms of low weight. Zbl 0810.11033
Taylor, Richard
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
1991
Representations of Galois groups associated to Hilbert modular forms. Zbl 0703.11026
Taylor, Richard
1990
On Galois representations associated to Hilbert modular forms. Zbl 0705.11031
Taylor, Richard
1989
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#### 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
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#### 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
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#### 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)

#### Wikidata Timeline

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