Edit Profile (opens in new tab) Wiles, Andrew John Co-Author Distance 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 334 Co-Co-Authors all top 5 Co-Authors 11 single-authored 5 Skinner, Christopher M. 4 Coates, John Henry 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 1 Gromov, Mikhael Leonidovich 1 Gurevich, Boris 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 1 Tits, Jacques 1 Varadhan, S. R. Srinivasa 1 Witten, Edward 1 Wright, Edward Maitland all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 30 Publications have been cited 1,932 times in 1,220 Documents Cited by ▼ Year ▼ Modular elliptic curves and Fermat’s Last Theorem. Zbl 0823.11029Wiles, Andrew 564 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 1159.11001Hardy, G. H.; Wright, E. M. 387 2008 Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030Taylor, Richard; Wiles, Andrew 306 1995 Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005Mazur, B.; Wiles, A. 232 1984 On ordinary \(\lambda\)-adic representations associated to modular forms. Zbl 0664.10013Wiles, A. 145 1988 The Iwasawa conjecture for totally real fields. Zbl 0719.11071Wiles, A. 141 1990 On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009Coates, J.; Wiles, A. 118 1977 Residually reducible representations and modular forms. Zbl 1005.11030Skinner, C. M.; Wiles, A. J. 57 1999 On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008Mazur, B.; Wiles, A. 56 1986 Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036Skinner, C. M.; Wiles, Andrew J. 41 2001 On \(p\)-adic \(L\)-functions and elliptic units. Zbl 0442.12007Coates, J.; Wiles, A. 38 1978 Higher explicit reciprocity laws. Zbl 0378.12006Wiles, A. 28 1978 The Millennium Prize problems. Zbl 1155.00001 26 2006 On \(p\)-adic representations for totally real fields. Zbl 0613.12013Wiles, A. 23 1986 Base change and a problem of Serre. Zbl 1016.11017Skinner, C. M.; Wiles, A. J. 21 2001 Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\). Zbl 0436.12004Wiles, Andrew 20 1980 Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009Coates, J.; Wiles, A. 18 1977 The Birch and Swinnerton-Dyer conjecture. Zbl 1194.11006Wiles, Andrew 17 2006 On a conjecture of Brumer. Zbl 0719.11082Wiles, A. 16 1990 Ordinary representations and modular forms. Zbl 0924.11044Skinner, C. M.; Wiles, A. J. 15 1997 Solvable points on genus one curves. Zbl 1168.14014Çiperiani, Mirela; Wiles, Andrew 10 2008 Analogies between function fields and number fields. Zbl 0531.12015Mazur, B.; Wiles, A. 10 1983 On class groups of imaginary quadratic fields. Zbl 1387.11080Wiles, A. 8 2015 Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017Rubin, Karl; Wiles, Andrew 7 1982 Bigness in compatible systems. Zbl 1407.11073Snowden, Andrew; Wiles, Andrew 6 2016 Modular forms, elliptic curves, and Fermat’s Last Theorem. Zbl 0864.11029Wiles, Andrew 4 1995 Explicit reciprocity laws. Zbl 0358.12001Coates, J.; Wiles, A. 2 1977 Residual irreducibility of compatible systems. Zbl 1446.11104Patrikis, Stefan T.; Snowden, Andrew W.; Wiles, Andrew J. 2 2018 Twenty years of number theory. Zbl 0965.11001Wiles, Andrew 1 2000 The Abel Prize 2013–2017. Zbl 1419.01001 1 2019 The Abel Prize 2013–2017. Zbl 1419.01001 1 2019 Residual irreducibility of compatible systems. Zbl 1446.11104Patrikis, Stefan T.; Snowden, Andrew W.; Wiles, Andrew J. 2 2018 Bigness in compatible systems. Zbl 1407.11073Snowden, Andrew; Wiles, Andrew 6 2016 On class groups of imaginary quadratic fields. Zbl 1387.11080Wiles, A. 8 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 1159.11001Hardy, G. H.; Wright, E. M. 387 2008 Solvable points on genus one curves. Zbl 1168.14014Çiperiani, Mirela; Wiles, Andrew 10 2008 The Millennium Prize problems. Zbl 1155.00001 26 2006 The Birch and Swinnerton-Dyer conjecture. Zbl 1194.11006Wiles, Andrew 17 2006 Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036Skinner, C. M.; Wiles, Andrew J. 41 2001 Base change and a problem of Serre. Zbl 1016.11017Skinner, C. M.; Wiles, A. J. 21 2001 Twenty years of number theory. Zbl 0965.11001Wiles, Andrew 1 2000 Residually reducible representations and modular forms. Zbl 1005.11030Skinner, C. M.; Wiles, A. J. 57 1999 Ordinary representations and modular forms. Zbl 0924.11044Skinner, C. M.; Wiles, A. J. 15 1997 Modular elliptic curves and Fermat’s Last Theorem. Zbl 0823.11029Wiles, Andrew 564 1995 Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030Taylor, Richard; Wiles, Andrew 306 1995 Modular forms, elliptic curves, and Fermat’s Last Theorem. Zbl 0864.11029Wiles, Andrew 4 1995 The Iwasawa conjecture for totally real fields. Zbl 0719.11071Wiles, A. 141 1990 On a conjecture of Brumer. Zbl 0719.11082Wiles, A. 16 1990 On ordinary \(\lambda\)-adic representations associated to modular forms. Zbl 0664.10013Wiles, A. 145 1988 On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008Mazur, B.; Wiles, A. 56 1986 On \(p\)-adic representations for totally real fields. Zbl 0613.12013Wiles, A. 23 1986 Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005Mazur, B.; Wiles, A. 232 1984 Analogies between function fields and number fields. Zbl 0531.12015Mazur, B.; Wiles, A. 10 1983 Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017Rubin, Karl; Wiles, Andrew 7 1982 Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\). Zbl 0436.12004Wiles, Andrew 20 1980 On \(p\)-adic \(L\)-functions and elliptic units. Zbl 0442.12007Coates, J.; Wiles, A. 38 1978 Higher explicit reciprocity laws. Zbl 0378.12006Wiles, A. 28 1978 On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009Coates, J.; Wiles, A. 118 1977 Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009Coates, J.; Wiles, A. 18 1977 Explicit reciprocity laws. Zbl 0358.12001Coates, J.; Wiles, A. 2 1977 all cited Publications top 5 cited Publications all top 5 Cited by 1,034 Authors 19 Hida, Haruzo 16 Khare, Chandrashekhar 15 Siksek, Samir 14 Ichimura, Humio 13 Calegari, Frank 13 Freitas, Nuno 13 Gee, Toby 12 Bennett, Michael A. 12 Rubin, Karl Cooper 12 Taylor, Richard 11 Büyükboduk, Kâzim 11 Klosin, Krzysztof 10 Bleher, Frauke M. 10 Dieulefait, Luis Victor 10 Greither, Cornelius 10 Kurihara, Masato 10 Tilouine, Jacques 10 Wiles, Andrew John 9 Castella, Francesc 9 Lei, Antonio 9 Ochiai, Tadashi 9 Schimmrigk, Rolf 9 Virdol, Cristian 8 Berger, Tobias 8 Coates, John Henry 8 Darmon, Henri René 8 Hsieh, Ming-Lun 8 Mazur, Barry 8 Murty, Maruti Ram 8 Panchishkin, Alexei A. 8 Skinner, Christopher M. 8 Ramdorai, Sujatha 8 Thorne, Jack 8 Urban, Eric 8 Xu, Hongyan 7 Böckle, Gebhard 7 Dąbrowski, Andrzej Bogdan 7 Diamond, Fred 7 Dimitrov, Mladen 7 Dummigan, Neil 7 Emerton, Matthew 7 Kakde, Mahesh 7 Nickel, Andreas 7 Ozaki, Manabu 7 Pasten, Hector V. 7 Sumida-Takahashi, Hiroki 7 Vatsal, Vinayak 7 Wake, Preston 6 Dasgupta, Samit 6 Guitart, Xavier 6 Kraus, Alain 6 Nguyen Quang Do, Thong 6 Rotger, Victor 6 Wan, Xin 6 Wang-Erickson, Carl 5 Anglès, Bruno 5 Bandini, Andrea 5 Bars Cortina, Francesc 5 Bellaïche, Joël 5 Bertolini, Massimo 5 Betina, Adel 5 Burungale, Ashay A. 5 Chinburg, Ted 5 Coleman, Robert Frederick 5 de Shalit, Ehud 5 Geraghty, David 5 Greenberg, Ralph 5 Harris, Michael Howard 5 Kato, Kazuya 5 Kolster, Manfred 5 Longhi, Ignazio 5 Newton, James 5 Pollack, Robert 5 Sharifi, Romyar T. 4 Aoki, Miho 4 Browkin, Jerzy 4 Brown, Jim L. 4 Bruinier, Jan Hendrik 4 Byeon, Dongho 4 Chen, Imin 4 Çiperiani, Mirela 4 Conrad, Brian 4 Delaunay, Christophe 4 Delbourgo, Daniel 4 Dembélé, Lassina 4 Duncan, John F. R. 4 Gras, Georges 4 Kezuka, Yukako 4 Kisin, Mark 4 Komatsu, Keiichi 4 Le Hung, Bao Viet 4 Loeffler, David 4 Longo, Matteo 4 Magnitskii, Nikolai Alexandrovich 4 Masdeu, Marc 4 Matar, Ahmed 4 Ono, Ken 4 Patrikis, Stefan T. 4 Poonen, Bjorn 4 Popescu, Cristian D. ...and 934 more Authors all top 5 Cited in 212 Serials 141 Journal of Number Theory 75 Inventiones Mathematicae 60 Compositio Mathematica 44 Duke Mathematical Journal 37 Journal de Théorie des Nombres de Bordeaux 35 Mathematische Annalen 32 Annales de l’Institut Fourier 29 Transactions of the American Mathematical Society 29 International Journal of Number Theory 23 Mathematics of Computation 22 Journal für die Reine und Angewandte Mathematik 19 Journal of Algebra 19 Mathematische Zeitschrift 18 Bulletin of the American Mathematical Society. New Series 15 Journal of the American Mathematical Society 14 Proceedings of the American Mathematical Society 14 Algebra & Number Theory 14 Annales Mathématiques du Québec 14 Research in Number Theory 13 Advances in Mathematics 13 Experimental Mathematics 12 Acta Arithmetica 11 Israel Journal of Mathematics 11 Journal of the London Mathematical Society. Second Series 10 Mathematical Proceedings of the Cambridge Philosophical Society 10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 10 Manuscripta Mathematica 10 Annals of Mathematics. Second Series 9 Forum of Mathematics, Sigma 8 Functiones et Approximatio. Commentarii Mathematici 8 Nagoya Mathematical Journal 8 Proceedings of the Japan Academy. Series A 8 The Ramanujan Journal 8 Journal of the Institute of Mathematics of Jussieu 7 Communications in Algebra 7 Bulletin de la Société Mathématique de France 7 Glasgow Mathematical Journal 7 Tokyo Journal of Mathematics 7 Journal of the European Mathematical Society (JEMS) 7 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Kyoto Journal of Mathematics 6 Bulletin of the Australian Mathematical Society 6 Mathematika 6 Selecta Mathematica. New Series 6 Research in the Mathematical Sciences 5 American Mathematical Monthly 5 Publications Mathématiques 5 Memoirs of the American Mathematical Society 5 Tôhoku Mathematical Journal. Second Series 5 Proceedings of the National Academy of Sciences of the United States of America 4 Journal of Mathematical Analysis and Applications 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 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 Documenta Mathematica 4 Acta Mathematica Sinica. English Series 4 Proceedings of the American Mathematical Society. Series B 3 International Journal of Modern Physics A 3 Nuclear Physics. B 3 Rocky Mountain Journal of Mathematics 3 Canadian Journal of Mathematics 3 Journal of Soviet Mathematics 3 Kodai Mathematical Journal 3 Mathematische Nachrichten 3 Monatshefte für Mathematik 3 Pacific Journal of Mathematics 3 Revista Matemática Iberoamericana 3 International Journal of Mathematics 3 Elemente der Mathematik 3 Mémoires de la Société Mathématique de France. Nouvelle Série 3 Indagationes Mathematicae. New Series 3 Journal of Mathematical Sciences (New York) 3 Journal of Mathematical Chemistry 3 Geometry & Topology 3 JP Journal of Algebra, Number Theory and Applications 3 Mediterranean Journal of Mathematics 3 AIMS Mathematics 2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 2 Journal of Geometry and Physics 2 The Mathematical Intelligencer 2 Acta Mathematica Vietnamica 2 Archiv der Mathematik 2 Colloquium Mathematicum 2 Commentarii Mathematici Helvetici 2 Journal of Computational and Applied 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 St. Petersburg Mathematical Journal 2 Finite Fields and their Applications 2 The Bulletin of Symbolic Logic 2 Annales Academiae Scientiarum Fennicae. Mathematica 2 Taiwanese Journal of Mathematics ...and 112 more Serials all top 5 Cited in 50 Fields 1,088 Number theory (11-XX) 287 Algebraic geometry (14-XX) 33 Group theory and generalizations (20-XX) 30 \(K\)-theory (19-XX) 24 Commutative algebra (13-XX) 21 Associative rings and algebras (16-XX) 17 Functions of a complex variable (30-XX) 16 Mathematical logic and foundations (03-XX) 16 Topological groups, Lie groups (22-XX) 16 Several complex variables and analytic spaces (32-XX) 15 Partial differential equations (35-XX) 14 History and biography (01-XX) 14 Quantum theory (81-XX) 13 Field theory and polynomials (12-XX) 12 Difference and functional equations (39-XX) 12 Computer science (68-XX) 10 General and overarching topics; collections (00-XX) 9 Fluid mechanics (76-XX) 8 Manifolds and cell complexes (57-XX) 7 Relativity and gravitational theory (83-XX) 7 Information and communication theory, circuits (94-XX) 6 Combinatorics (05-XX) 6 Ordinary differential equations (34-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Numerical analysis (65-XX) 5 Category theory; homological algebra (18-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 4 Algebraic topology (55-XX) 4 Probability theory and stochastic processes (60-XX) 3 Operator theory (47-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 Functional analysis (46-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 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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