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Wiles, Andrew John

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Author ID: wiles.andrew-j Recent zbMATH articles by "Wiles, Andrew John"
Published as: Wiles, Andrew; Wiles, A.; Wiles, Andrew J.; Wiles, A. J.
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: 28 Publications since 1977, including 1 Book
Biographic References: 15 Publications

Publications by Year

Citations contained in zbMATH Open

27 Publications have been cited 1,653 times in 1,040 Documents Cited by Year
Modular elliptic curves and Fermat’s Last Theorem. Zbl 0823.11029
Wiles, Andrew
459
1995
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
261
1995
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
213
1984
On ordinary \(\lambda\)-adic representations associated to modular forms. Zbl 0664.10013
Wiles, A.
124
1988
The Iwasawa conjecture for totally real fields. Zbl 0719.11071
Wiles, A.
120
1990
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
103
1977
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
53
1986
Residually reducible representations and modular forms. Zbl 1005.11030
Skinner, C. M.; Wiles, A. J.
46
1999
Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036
Skinner, C. M.; Wiles, Andrew J.
38
2001
On \(p\)-adic \(L\)-functions and elliptic units. Zbl 0442.12007
Coates, J.; Wiles, A.
36
1978
Higher explicit reciprocity laws. Zbl 0378.12006
Wiles, A.
25
1978
On \(p\)-adic representations for totally real fields. Zbl 0613.12013
Wiles, A.
21
1986
Base change and a problem of Serre. Zbl 1016.11017
Skinner, C. M.; Wiles, A. J.
20
2001
Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\). Zbl 0436.12004
Wiles, Andrew
19
1980
The Millennium Prize problems. Zbl 1155.00001
Carlson, J. (ed.); Jaffe, A. (ed.); Wiles, A. (ed.)
18
2006
Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009
Coates, J.; Wiles, A.
17
1977
On a conjecture of Brumer. Zbl 0719.11082
Wiles, A.
14
1990
Ordinary representations and modular forms. Zbl 0924.11044
Skinner, C. M.; Wiles, A. J.
14
1997
The Birch and Swinnerton-Dyer conjecture. Zbl 1194.11006
Wiles, Andrew
11
2006
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
9
1983
Solvable points on genus one curves. Zbl 1168.14014
Çiperiani, Mirela; Wiles, Andrew
8
2008
Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017
Rubin, Karl; Wiles, Andrew
7
1982
Bigness in compatible systems. Zbl 1407.11073
Snowden, Andrew; Wiles, Andrew
6
2016
On class groups of imaginary quadratic fields. Zbl 1387.11080
Wiles, A.
5
2015
Modular forms, elliptic curves, and Fermat’s Last Theorem. Zbl 0864.11029
Wiles, Andrew
3
1995
Explicit reciprocity laws. Zbl 0358.12001
Coates, J.; Wiles, A.
2
1977
Twenty years of number theory. Zbl 0965.11001
Wiles, Andrew
1
2000
Bigness in compatible systems. Zbl 1407.11073
Snowden, Andrew; Wiles, Andrew
6
2016
On class groups of imaginary quadratic fields. Zbl 1387.11080
Wiles, A.
5
2015
Solvable points on genus one curves. Zbl 1168.14014
Çiperiani, Mirela; Wiles, Andrew
8
2008
The Millennium Prize problems. Zbl 1155.00001
Carlson, J.; Jaffe, A.; Wiles, A.
18
2006
The Birch and Swinnerton-Dyer conjecture. Zbl 1194.11006
Wiles, Andrew
11
2006
Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036
Skinner, C. M.; Wiles, Andrew J.
38
2001
Base change and a problem of Serre. Zbl 1016.11017
Skinner, C. M.; Wiles, A. J.
20
2001
Twenty years of number theory. Zbl 0965.11001
Wiles, Andrew
1
2000
Residually reducible representations and modular forms. Zbl 1005.11030
Skinner, C. M.; Wiles, A. J.
46
1999
Ordinary representations and modular forms. Zbl 0924.11044
Skinner, C. M.; Wiles, A. J.
14
1997
Modular elliptic curves and Fermat’s Last Theorem. Zbl 0823.11029
Wiles, Andrew
459
1995
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
261
1995
Modular forms, elliptic curves, and Fermat’s Last Theorem. Zbl 0864.11029
Wiles, Andrew
3
1995
The Iwasawa conjecture for totally real fields. Zbl 0719.11071
Wiles, A.
120
1990
On a conjecture of Brumer. Zbl 0719.11082
Wiles, A.
14
1990
On ordinary \(\lambda\)-adic representations associated to modular forms. Zbl 0664.10013
Wiles, A.
124
1988
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
53
1986
On \(p\)-adic representations for totally real fields. Zbl 0613.12013
Wiles, A.
21
1986
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
213
1984
Analogies between function fields and number fields. Zbl 0531.12015
Mazur, B.; Wiles, A.
9
1983
Mordell-Weil groups of elliptic curves over cyclotomic fields. Zbl 0519.14017
Rubin, Karl; Wiles, Andrew
7
1982
Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\). Zbl 0436.12004
Wiles, Andrew
19
1980
On \(p\)-adic \(L\)-functions and elliptic units. Zbl 0442.12007
Coates, J.; Wiles, A.
36
1978
Higher explicit reciprocity laws. Zbl 0378.12006
Wiles, A.
25
1978
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
103
1977
Kummer’s criterion for Hurwitz numbers. Zbl 0369.12009
Coates, J.; Wiles, A.
17
1977
Explicit reciprocity laws. Zbl 0358.12001
Coates, J.; Wiles, A.
2
1977
all top 5

Cited by 852 Authors

17 Hida, Haruzo
13 Ichimura, Humio
12 Khare, Chandrashekhar
12 Rubin, Karl Cooper
11 Bennett, Michael A.
11 Siksek, Samir
11 Taylor, Richard Lawrence
10 Bleher, Frauke M.
10 Büyükboduk, Kâzim
10 Freitas, Nuno
10 Greither, Cornelius
10 Klosin, Krzysztof
10 Wiles, Andrew John
9 Calegari, Frank
9 Dieulefait, Luis Victor
9 Gee, Toby
9 Ochiai, Tadashi
9 Schimmrigk, Rolf
9 Virdol, Cristian
8 Darmon, Henri René
8 Kurihara, Masato
8 Mazur, Barry
8 Panchishkin, Alexei A.
8 Tilouine, Jacques
7 Berger, Tobias
7 Diamond, Fred
7 Dummigan, Neil
7 Lei, Antonio
7 Murty, Maruti Ram
7 Ozaki, Manabu
6 Böckle, Gebhard
6 Coates, John H.
6 Emerton, Matthew
6 Nguyen Quang Do, Thong
6 Rotger, Victor
6 Skinner, Christopher M.
6 Sumida-Takahashi, Hiroki
6 Thorne, Jack A.
6 Urban, Eric
6 Vatsal, Vinayak
5 Bandini, Andrea
5 Bars Cortina, Francesc
5 Bellaïche, Joël
5 Castella, Francesc
5 Chinburg, Ted
5 Coleman, Robert Frederick
5 Dąbrowski, Andrzej Bogdan
5 de Shalit, Ehud
5 Dimitrov, Mladen
5 Geraghty, David
5 Greenberg, Ralph
5 Guitart, Xavier
5 Harris, Michael Howard
5 Hsieh, Ming-Lun
5 Kakde, Mahesh
5 Kato, Kazuya
5 Longhi, Ignazio
5 Nickel, Andreas
5 Pollack, Robert
5 Ramdorai, Sujatha
5 Wang-Erickson, Carl
4 Anglès, Bruno
4 Aoki, Miho
4 Bertolini, Massimo
4 Browkin, Jerzy
4 Brown, Jim L.
4 Byeon, Dongho
4 Chen, Imin
4 Conrad, Brian
4 Dasgupta, Samit
4 Delaunay, Christophe
4 Gras, Georges
4 Kisin, Mark
4 Kolster, Manfred
4 Komatsu, Keiichi
4 Longo, Matteo
4 Newton, James
4 Pasten, Hector V.
4 Poonen, Bjorn
4 Popescu, Cristian D.
4 Rohrlich, David E.
4 Schoof, René
4 Sharifi, Romyar T.
4 Voight, John Michael
4 Wake, Preston
4 Wan, Xin
4 Weiss, Alfred R.
4 Xu, Hongyan
4 Yamagami, Atsushi
3 Betina, Adel
3 Bruinier, Jan Hendrik
3 Carbó-Dorca, Ramon
3 Çiperiani, Mirela
3 Dahmen, Sander R.
3 Delbourgo, Daniel
3 Dembélé, Lassina
3 Duncan, John F. R.
3 Fouquet, Olivier
3 Frey, Gerhard
3 Fukaya, Takako
...and 752 more Authors
all top 5

Cited in 187 Serials

127 Journal of Number Theory
70 Inventiones Mathematicae
59 Compositio Mathematica
43 Duke Mathematical Journal
33 Mathematische Annalen
31 Annales de l’Institut Fourier
29 Journal de Théorie des Nombres de Bordeaux
26 International Journal of Number Theory
23 Transactions of the American Mathematical Society
20 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
10 Israel Journal of Mathematics
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Manuscripta Mathematica
9 Advances in Mathematics
9 Annales Mathématiques du Québec
9 Research in Number Theory
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 Acta Arithmetica
7 Bulletin de la Société Mathématique de France
7 Glasgow Mathematical Journal
7 Nagoya Mathematical Journal
7 Algebra & Number Theory
6 Bulletin of the Australian Mathematical Society
6 Tokyo Journal of Mathematics
6 Selecta Mathematica. New Series
6 The Ramanujan Journal
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal of the Institute of Mathematics of Jussieu
6 Kyoto Journal of Mathematics
6 Forum of Mathematics, Sigma
6 Research in the Mathematical Sciences
5 Proceedings of the National Academy of Sciences of the United States of America
4 American Mathematical Monthly
4 Publications Mathématiques
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 Tohoku Mathematical Journal. Second Series
4 Journal of the Ramanujan Mathematical Society
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Journal of Algebraic Geometry
4 Journal of the European Mathematical Society (JEMS)
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 Mathematische Nachrichten
3 Mathematika
3 Revista Matemática Iberoamericana
3 International Journal of Mathematics
3 Elemente der Mathematik
3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
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
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 Commentarii Mathematici Helvetici
2 Journal of Computational and Applied Mathematics
2 Kodai Mathematical Journal
2 Memoirs of the American Mathematical Society
2 Monatshefte für Mathematik
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 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 Milan Journal of Mathematics
2 International Journal of Geometric Methods in Modern Physics
2 Mediterranean Journal of Mathematics
2 Japanese Journal of Mathematics. 3rd Series
1 Modern Physics Letters A
1 International Journal of Modern Physics B
...and 87 more Serials
all top 5

Cited in 44 Fields

933 Number theory (11-XX)
255 Algebraic geometry (14-XX)
29 Group theory and generalizations (20-XX)
28 \(K\)-theory (19-XX)
21 Commutative algebra (13-XX)
19 Associative rings and algebras (16-XX)
13 History and biography (01-XX)
13 Mathematical logic and foundations (03-XX)
13 Quantum theory (81-XX)
12 Field theory and polynomials (12-XX)
12 Topological groups, Lie groups (22-XX)
11 Partial differential equations (35-XX)
10 Functions of a complex variable (30-XX)
9 General and overarching topics; collections (00-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Manifolds and cell complexes (57-XX)
8 Computer science (68-XX)
7 Difference and functional equations (39-XX)
7 Fluid mechanics (76-XX)
7 Relativity and gravitational theory (83-XX)
7 Information and communication theory, circuits (94-XX)
6 Numerical analysis (65-XX)
5 Combinatorics (05-XX)
5 Ordinary differential equations (34-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Category theory; homological algebra (18-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Geometry (51-XX)
4 Probability theory and stochastic processes (60-XX)
3 Special functions (33-XX)
3 Mathematics education (97-XX)
2 Nonassociative rings and algebras (17-XX)
2 Functional analysis (46-XX)
2 Operator theory (47-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Biology and other natural sciences (92-XX)
2 Systems theory; control (93-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Statistics (62-XX)
1 Mechanics of particles and systems (70-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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