## Wiles, Andrew John

Compute Distance To:
 Author ID: wiles.andrew-j Published as: Wiles, A.; Wiles, Andrew; Wiles, Andrew J.; Wiles, A. J. more...less Homepage: https://www.maths.ox.ac.uk/people/andrew.wiles External Links: MacTutor · MGP · Wikidata · dblp · GND · IdRef Awards: Wolf Prize (1996) · Clay Research Award (1999) · Shaw Prize (2005) · Abel Prize (2016)
 Documents Indexed: 27 Publications since 1977 1 Contribution as Editor · 5 Further Contributions Biographic References: 15 Publications Co-Authors: 10 Co-Authors with 18 Joint Publications 322 Co-Co-Authors
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### Co-Authors

 11 single-authored 5 Skinner, Christopher M. 4 Coates, John H. 3 Deligne, Pierre René 3 Mazur, Barry 2 Milnor, John Willard 2 Nash, John Forbes jun. 2 Nirenberg, Louis 2 Raussen, Martin 2 Sinaĭ, Yakov Grigor’evich 2 Skau, Christian Fredrik 2 Snowden, Andrew W. 1 Atiyah, Michael Francis 1 Boldrighini, Carlo 1 Bombieri, Enrico 1 Boston, Nigel 1 Bunimovich, Leonid Abramovich 1 Carleson, Lennart 1 Carlson, James A. 1 Cellarosi, Francesco 1 Çiperiani, Mirela 1 Cohen, Albert 1 Cook, Stephen Arthur 1 De Lellis, Camillo 1 Fefferman, Charles Louis 1 Gray, Jeremy John 1 Gromov, Mikhael Leonidovich 1 Gurevich, B. M. 1 Hardy, Godfrey Harold 1 Heath-Brown, Roger 1 Holden, Helge 1 Illusie, Luc 1 Jaffe, Arthur Michael 1 Khanin, Konstantin M. 1 Kohn, Robert Vita 1 Lax, Peter David 1 Li, Dong 1 Meyer, Yves F. 1 Nasar, Sylvia 1 Patrikis, Stefan T. 1 Pesin, Yakov Borisovich 1 Piene, Ragni 1 Rubin, Karl Cooper 1 Serre, Jean-Pierre 1 Silverman, Joseph Hillel 1 Simányi, Nándor J. 1 Szász, Domokos 1 Szemerédi, Endre 1 Tate, John Torrence jun. 1 Taylor, Richard Lawrence 1 Tits, Jacques 1 Varadhan, S. R. Srinivasa 1 Witten, Edward 1 Wright, Edward Maitland
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### Serials

 6 Annals of Mathematics. Second Series 4 Inventiones Mathematicae 2 Duke Mathematical Journal 1 American Journal of Mathematics 1 Compositio Mathematica 1 Publications Mathématiques 1 Journal of the London Mathematical Society. Second Series 1 IMRN. International Mathematics Research Notices 1 Journal of the Australian Mathematical Society. Series A 1 Proceedings of the National Academy of Sciences of the United States of America 1 Notices of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 The Abel Prize

### Fields

 28 Number theory (11-XX) 10 Algebraic geometry (14-XX) 4 History and biography (01-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX)

### Citations contained in zbMATH Open

28 Publications have been cited 2,065 times in 1,099 Documents Cited by Year
Modular elliptic curves and Fermat’s Last Theorem. Zbl 0823.11029
Wiles, Andrew
1995
An introduction to the theory of numbers. Edited and revised by D. R. Heath-Brown and J. H. Silverman. With a foreword by Andrew Wiles. 6th ed. Zbl 1159.11001
Hardy, G. H.; Wright, E. M.
2008
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
1995
Class fields of abelian extensions of $$\mathbb Q$$. Zbl 0545.12005
Mazur, B.; Wiles, A.
1984
On ordinary $$\lambda$$-adic representations associated to modular forms. Zbl 0664.10013
Wiles, A.
1988
The Iwasawa conjecture for totally real fields. Zbl 0719.11071
Wiles, A.
1990
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
1977
On $$p$$-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
1986
Residually reducible representations and modular forms. Zbl 1005.11030
Skinner, C. M.; Wiles, A. J.
1999
Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036
Skinner, C. M.; Wiles, Andrew J.
2001
On $$p$$-adic $$L$$-functions and elliptic units. Zbl 0442.12007
Coates, J.; Wiles, A.
1978
Higher explicit reciprocity laws. Zbl 0378.12006
Wiles, A.
1978
On $$p$$-adic representations for totally real fields. Zbl 0613.12013
Wiles, A.
1986
Base change and a problem of Serre. Zbl 1016.11017
Skinner, C. M.; Wiles, A. J.
2001
The Millennium Prize problems. Zbl 1155.00001
2006
Modular curves and the class group of $$\mathbb{Q} (\zeta_p)$$. Zbl 0436.12004
Wiles, Andrew
1980
Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009
Coates, J.; Wiles, A.
1977
On a conjecture of Brumer. Zbl 0719.11082
Wiles, A.
1990
Ordinary representations and modular forms. Zbl 0924.11044
Skinner, C. M.; Wiles, A. J.
1997
The Birch and Swinnerton-Dyer conjecture. Zbl 1194.11006
Wiles, Andrew
2006
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
1983
Solvable points on genus one curves. Zbl 1168.14014
Çiperiani, Mirela; Wiles, Andrew
2008
Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017
Rubin, Karl; Wiles, Andrew
1982
Bigness in compatible systems. Zbl 1407.11073
Snowden, Andrew; Wiles, Andrew
2016
On class groups of imaginary quadratic fields. Zbl 1387.11080
Wiles, A.
2015
Modular forms, elliptic curves, and Fermat’s Last Theorem. Zbl 0864.11029
Wiles, Andrew
1995
Explicit reciprocity laws. Zbl 0358.12001
Coates, J.; Wiles, A.
1977
Twenty years of number theory. Zbl 0965.11001
Wiles, Andrew
2000
Bigness in compatible systems. Zbl 1407.11073
Snowden, Andrew; Wiles, Andrew
2016
On class groups of imaginary quadratic fields. Zbl 1387.11080
Wiles, A.
2015
An introduction to the theory of numbers. Edited and revised by D. R. Heath-Brown and J. H. Silverman. With a foreword by Andrew Wiles. 6th ed. Zbl 1159.11001
Hardy, G. H.; Wright, E. M.
2008
Solvable points on genus one curves. Zbl 1168.14014
Çiperiani, Mirela; Wiles, Andrew
2008
The Millennium Prize problems. Zbl 1155.00001
2006
The Birch and Swinnerton-Dyer conjecture. Zbl 1194.11006
Wiles, Andrew
2006
Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036
Skinner, C. M.; Wiles, Andrew J.
2001
Base change and a problem of Serre. Zbl 1016.11017
Skinner, C. M.; Wiles, A. J.
2001
Twenty years of number theory. Zbl 0965.11001
Wiles, Andrew
2000
Residually reducible representations and modular forms. Zbl 1005.11030
Skinner, C. M.; Wiles, A. J.
1999
Ordinary representations and modular forms. Zbl 0924.11044
Skinner, C. M.; Wiles, A. J.
1997
Modular elliptic curves and Fermat’s Last Theorem. Zbl 0823.11029
Wiles, Andrew
1995
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
1995
Modular forms, elliptic curves, and Fermat’s Last Theorem. Zbl 0864.11029
Wiles, Andrew
1995
The Iwasawa conjecture for totally real fields. Zbl 0719.11071
Wiles, A.
1990
On a conjecture of Brumer. Zbl 0719.11082
Wiles, A.
1990
On ordinary $$\lambda$$-adic representations associated to modular forms. Zbl 0664.10013
Wiles, A.
1988
On $$p$$-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
1986
On $$p$$-adic representations for totally real fields. Zbl 0613.12013
Wiles, A.
1986
Class fields of abelian extensions of $$\mathbb Q$$. Zbl 0545.12005
Mazur, B.; Wiles, A.
1984
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
1983
Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017
Rubin, Karl; Wiles, Andrew
1982
Modular curves and the class group of $$\mathbb{Q} (\zeta_p)$$. Zbl 0436.12004
Wiles, Andrew
1980
On $$p$$-adic $$L$$-functions and elliptic units. Zbl 0442.12007
Coates, J.; Wiles, A.
1978
Higher explicit reciprocity laws. Zbl 0378.12006
Wiles, A.
1978
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
1977
Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009
Coates, J.; Wiles, A.
1977
Explicit reciprocity laws. Zbl 0358.12001
Coates, J.; Wiles, A.
1977
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### Cited by 927 Authors

 19 Hida, Haruzo 14 Ichimura, Humio 14 Khare, Chandrashekhar 12 Calegari, Frank 12 Rubin, Karl Cooper 12 Siksek, Samir 11 Bennett, Michael A. 11 Freitas, Nuno 11 Gee, Toby 11 Taylor, Richard Lawrence 10 Bleher, Frauke M. 10 Büyükboduk, Kâzim 10 Greither, Cornelius 10 Klosin, Krzysztof 10 Kurihara, Masato 10 Wiles, Andrew John 9 Dieulefait, Luis Victor 9 Ochiai, Tadashi 9 Schimmrigk, Rolf 9 Virdol, Cristian 8 Castella, Francesc 8 Darmon, Henri René 8 Lei, Antonio 8 Mazur, Barry 8 Panchishkin, Alexei A. 8 Tilouine, Jacques 7 Berger, Tobias 7 Böckle, Gebhard 7 Coates, John H. 7 Diamond, Fred 7 Dimitrov, Mladen 7 Dummigan, Neil 7 Emerton, Matthew 7 Hsieh, Ming-Lun 7 Murty, Maruti Ram 7 Ozaki, Manabu 7 Urban, Eric 6 Dąbrowski, Andrzej Bogdan 6 Guitart, Xavier 6 Kakde, Mahesh 6 Nguyen Quang Do, Thong 6 Nickel, Andreas 6 Rotger, Victor 6 Skinner, Christopher M. 6 Ramdorai, Sujatha 6 Sumida-Takahashi, Hiroki 6 Thorne, Jack A. 6 Vatsal, Vinayak 6 Wang-Erickson, Carl 6 Xu, Hongyan 5 Anglès, Bruno 5 Bandini, Andrea 5 Bars Cortina, Francesc 5 Bellaïche, Joël 5 Betina, Adel 5 Chinburg, Ted 5 Coleman, Robert Frederick 5 Dasgupta, Samit 5 de Shalit, Ehud 5 Geraghty, David 5 Greenberg, Ralph 5 Harris, Michael Howard 5 Kato, Kazuya 5 Kolster, Manfred 5 Longhi, Ignazio 5 Pollack, Robert 5 Wan, Xin 4 Aoki, Miho 4 Bertolini, Massimo 4 Browkin, Jerzy 4 Brown, Jim L. 4 Bruinier, Jan Hendrik 4 Byeon, Dongho 4 Chen, Imin 4 Conrad, Brian 4 Delaunay, Christophe 4 Gras, Georges 4 Kisin, Mark 4 Komatsu, Keiichi 4 Kraus, Alain 4 Longo, Matteo 4 Masdeu, Marc 4 Matar, Ahmed 4 Newton, James 4 Pasten, Hector V. 4 Patrikis, Stefan T. 4 Poonen, Bjorn 4 Popescu, Cristian D. 4 Rohrlich, David E. 4 Schoof, René 4 Sharifi, Romyar T. 4 Stoll, Michael 4 Szymaszkiewicz, Lucjan 4 Voight, John Michael 4 Wake, Preston 4 Weiss, Alfred R. 4 Yamagami, Atsushi 3 Boston, Nigel 3 Burungale, Ashay A. 3 Carbó-Dorca, Ramon ...and 827 more Authors
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### Cited in 200 Serials

 129 Journal of Number Theory 73 Inventiones Mathematicae 60 Compositio Mathematica 44 Duke Mathematical Journal 35 Mathematische Annalen 35 Journal de Théorie des Nombres de Bordeaux 32 Annales de l’Institut Fourier 27 International Journal of Number Theory 24 Transactions of the American Mathematical Society 21 Mathematics of Computation 20 Journal für die Reine und Angewandte Mathematik 19 Mathematische Zeitschrift 18 Journal of Algebra 18 Bulletin of the American Mathematical Society. New Series 14 Journal of the American Mathematical Society 13 Experimental Mathematics 12 Proceedings of the American Mathematical Society 11 Israel Journal of Mathematics 11 Acta Arithmetica 11 Advances in Mathematics 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Manuscripta Mathematica 10 Research in Number Theory 9 Annales Mathématiques du Québec 8 Functiones et Approximatio. Commentarii Mathematici 8 Proceedings of the Japan Academy. Series A 8 Annals of Mathematics. Second Series 7 Communications in Algebra 7 Bulletin de la Société Mathématique de France 7 Glasgow Mathematical Journal 7 Nagoya Mathematical Journal 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Journal of the Institute of Mathematics of Jussieu 7 Algebra & Number Theory 7 Kyoto Journal of Mathematics 7 Forum of Mathematics, Sigma 6 Bulletin of the Australian Mathematical Society 6 Tokyo Journal of Mathematics 6 Selecta Mathematica. New Series 6 The Ramanujan Journal 6 Journal of the European Mathematical Society (JEMS) 6 Research in the Mathematical Sciences 5 Publications Mathématiques 5 Proceedings of the National Academy of Sciences of the United States of America 4 American Mathematical Monthly 4 Journal of the Mathematical Society of Japan 4 Journal of Pure and Applied Algebra 4 Osaka Journal of Mathematics 4 Proceedings of the London Mathematical Society. Third Series 4 Tôhoku Mathematical Journal. Second Series 4 Journal of the Ramanujan Mathematical Society 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 Journal of Algebraic Geometry 4 Acta Mathematica Sinica. English Series 3 International Journal of Modern Physics A 3 Nuclear Physics. B 3 Journal of the London Mathematical Society. Second Series 3 Journal of Soviet Mathematics 3 Kodai Mathematical Journal 3 Mathematische Nachrichten 3 Mathematika 3 Monatshefte für Mathematik 3 Revista Matemática Iberoamericana 3 International Journal of Mathematics 3 Elemente der Mathematik 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Journal of Mathematical Sciences (New York) 3 Journal of Mathematical Chemistry 3 Geometry & Topology 3 JP Journal of Algebra, Number Theory and Applications 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Mathematical Analysis and Applications 2 Rocky Mountain Journal of Mathematics 2 Journal of Geometry and Physics 2 The Mathematical Intelligencer 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Colloquium Mathematicum 2 Commentarii Mathematici Helvetici 2 Journal of Computational and Applied Mathematics 2 Memoirs of the American Mathematical Society 2 Pacific Journal of Mathematics 2 Publications of the Research Institute for Mathematical Sciences, Kyoto University 2 Theoretical Computer Science 2 Bulletin of the Korean Mathematical Society 2 Journal of Symbolic Computation 2 Publicacions Matemàtiques 2 Indagationes Mathematicae. New Series 2 St. Petersburg Mathematical Journal 2 Finite Fields and their Applications 2 The Bulletin of Symbolic Logic 2 Documenta Mathematica 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 LMS Journal of Computation and Mathematics 2 Differential Equations 2 Milan Journal of Mathematics 2 International Journal of Geometric Methods in Modern Physics ...and 100 more Serials
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### Cited in 48 Fields

 981 Number theory (11-XX) 265 Algebraic geometry (14-XX) 29 Group theory and generalizations (20-XX) 27 $$K$$-theory (19-XX) 22 Commutative algebra (13-XX) 20 Associative rings and algebras (16-XX) 14 History and biography (01-XX) 14 Mathematical logic and foundations (03-XX) 13 Topological groups, Lie groups (22-XX) 13 Quantum theory (81-XX) 12 Field theory and polynomials (12-XX) 12 Functions of a complex variable (30-XX) 12 Partial differential equations (35-XX) 11 Several complex variables and analytic spaces (32-XX) 10 General and overarching topics; collections (00-XX) 9 Difference and functional equations (39-XX) 8 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 7 Fluid mechanics (76-XX) 7 Relativity and gravitational theory (83-XX) 7 Information and communication theory, circuits (94-XX) 6 Combinatorics (05-XX) 6 Numerical analysis (65-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 Ordinary differential equations (34-XX) 4 Probability theory and stochastic processes (60-XX) 3 Special functions (33-XX) 3 Functional analysis (46-XX) 3 Geometry (51-XX) 3 Biology and other natural sciences (92-XX) 3 Mathematics education (97-XX) 2 Nonassociative rings and algebras (17-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 2 Systems theory; control (93-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX)

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