×
Compute Distance To:
Author ID: wiles.andrew-j Recent zbMATH articles by "Wiles, Andrew John"
Published as: Wiles, A.; Wiles, Andrew; 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)

Publications by Year

Citations contained in zbMATH Open

30 Publications have been cited 2,128 times in 1,136 Documents Cited by Year
Modular elliptic curves and Fermat’s Last Theorem. Zbl 0823.11029
Wiles, Andrew
513
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.
332
2008
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
283
1995
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
225
1984
On ordinary \(\lambda\)-adic representations associated to modular forms. Zbl 0664.10013
Wiles, A.
137
1988
The Iwasawa conjecture for totally real fields. Zbl 0719.11071
Wiles, A.
131
1990
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
109
1977
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
55
1986
Residually reducible representations and modular forms. Zbl 1005.11030
Skinner, C. M.; Wiles, A. J.
50
1999
Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036
Skinner, C. M.; Wiles, Andrew J.
40
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.
27
1978
On \(p\)-adic representations for totally real fields. Zbl 0613.12013
Wiles, A.
23
1986
Base change and a problem of Serre. Zbl 1016.11017
Skinner, C. M.; Wiles, A. J.
21
2001
The Millennium Prize problems. Zbl 1155.00001
21
2006
Modular curves and the class group of \(\mathbb{Q} (\zeta_p)\). Zbl 0436.12004
Wiles, Andrew
19
1980
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.
16
1990
The Birch and Swinnerton-Dyer conjecture. Zbl 1194.11006
Wiles, Andrew
14
2006
Ordinary representations and modular forms. Zbl 0924.11044
Skinner, C. M.; Wiles, A. J.
14
1997
Solvable points on genus one curves. Zbl 1168.14014
Çiperiani, Mirela; Wiles, Andrew
9
2008
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
On class groups of imaginary quadratic fields. Zbl 1387.11080
Wiles, A.
6
2015
Bigness in compatible systems. Zbl 1407.11073
Snowden, Andrew; Wiles, Andrew
6
2016
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
Residual irreducibility of compatible systems. Zbl 1446.11104
Patrikis, Stefan T.; Snowden, Andrew W.; Wiles, Andrew J.
1
2018
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
Twenty years of number theory. Zbl 0965.11001
Wiles, Andrew
1
2000
The Abel Prize 2013–2017. Zbl 1419.01001
1
2019
Residual irreducibility of compatible systems. Zbl 1446.11104
Patrikis, Stefan T.; Snowden, Andrew W.; Wiles, Andrew J.
1
2018
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.
6
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.
332
2008
Solvable points on genus one curves. Zbl 1168.14014
Çiperiani, Mirela; Wiles, Andrew
9
2008
The Millennium Prize problems. Zbl 1155.00001
21
2006
The Birch and Swinnerton-Dyer conjecture. Zbl 1194.11006
Wiles, Andrew
14
2006
Nearly ordinary deformations of irreducible residual representations. Zbl 1024.11036
Skinner, C. M.; Wiles, Andrew J.
40
2001
Base change and a problem of Serre. Zbl 1016.11017
Skinner, C. M.; Wiles, A. J.
21
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.
50
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
513
1995
Ring-theoretic properties of certain Hecke algebras. Zbl 0823.11030
Taylor, Richard; Wiles, Andrew
283
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.
131
1990
On a conjecture of Brumer. Zbl 0719.11082
Wiles, A.
16
1990
On ordinary \(\lambda\)-adic representations associated to modular forms. Zbl 0664.10013
Wiles, A.
137
1988
On \(p\)-adic analytic families of Galois representations. (Appendix by Nigel Boston). Zbl 0654.12008
Mazur, B.; Wiles, A.
55
1986
On \(p\)-adic representations for totally real fields. Zbl 0613.12013
Wiles, A.
23
1986
Class fields of abelian extensions of \(\mathbb Q\). Zbl 0545.12005
Mazur, B.; Wiles, A.
225
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.
27
1978
On the conjecture of Birch and Swinnerton-Dyer. Zbl 0359.14009
Coates, J.; Wiles, A.
109
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 967 Authors

19 Hida, Haruzo
15 Siksek, Samir
14 Ichimura, Humio
14 Khare, Chandrashekhar
13 Freitas, Nuno
12 Bennett, Michael A.
12 Calegari, Frank
12 Rubin, Karl Cooper
11 Gee, Toby
11 Taylor, Richard Lawrence
10 Bleher, Frauke M.
10 Büyükboduk, Kâzim
10 Greither, Cornelius
10 Klosin, Krzysztof
10 Kurihara, Masato
10 Tilouine, Jacques
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 Murty, Maruti Ram
8 Panchishkin, Alexei A.
8 Urban, Eric
7 Berger, Tobias
7 Böckle, Gebhard
7 Coates, John Henry
7 Diamond, Fred
7 Dimitrov, Mladen
7 Dummigan, Neil
7 Emerton, Matthew
7 Hsieh, Ming-Lun
7 Kakde, Mahesh
7 Ozaki, Manabu
7 Ramdorai, Sujatha
7 Xu, Hongyan
6 Dąbrowski, Andrzej Bogdan
6 Dasgupta, Samit
6 Guitart, Xavier
6 Kraus, Alain
6 Nguyen Quang Do, Thong
6 Nickel, Andreas
6 Rotger, Victor
6 Skinner, Christopher M.
6 Sumida-Takahashi, Hiroki
6 Thorne, Jack A.
6 Vatsal, Vinayak
6 Wang-Erickson, Carl
5 Anglès, Bruno
5 Bandini, Andrea
5 Bars Cortina, Francesc
5 Bellaïche, Joël
5 Bertolini, Massimo
5 Betina, Adel
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 Pasten, Hector V.
5 Pollack, Robert
5 Wake, Preston
5 Wan, Xin
4 Aoki, Miho
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 Longo, Matteo
4 Masdeu, Marc
4 Matar, Ahmed
4 Newton, James
4 Patrikis, Stefan T.
4 Poonen, Bjorn
4 Popescu, Cristian D.
4 Rohrlich, David E.
4 Schoof, René
4 Sharifi, Romyar T.
4 Shekhar, Sudhanshu
4 Stoll, Michael
4 Szymaszkiewicz, Lucjan
4 Voight, John Michael
4 Weiss, Alfred R.
4 Yamagami, Atsushi
3 Beckwith, Olivia
3 Bergdall, John
...and 867 more Authors
all top 5

Cited in 202 Serials

129 Journal of Number Theory
74 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
25 Transactions of the American Mathematical Society
22 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
15 Journal of the American Mathematical Society
14 Proceedings of the American Mathematical Society
14 Algebra & Number Theory
13 Experimental Mathematics
12 Acta Arithmetica
12 Advances in Mathematics
11 Israel Journal of Mathematics
11 Research in Number Theory
10 Mathematical Proceedings of the Cambridge Philosophical Society
10 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
10 Manuscripta Mathematica
10 Annales Mathématiques du Québec
9 Annals of Mathematics. Second Series
8 Functiones et Approximatio. Commentarii Mathematici
8 Proceedings of the Japan Academy. Series A
7 Communications in Algebra
7 Bulletin de la Société Mathématique de France
7 Glasgow Mathematical Journal
7 Nagoya Mathematical Journal
7 Tokyo Journal of Mathematics
7 The Ramanujan Journal
7 Comptes Rendus. Mathématique. Académie des Sciences, Paris
7 Journal of the Institute of Mathematics of Jussieu
7 Kyoto Journal of Mathematics
7 Forum of Mathematics, Sigma
6 Bulletin of the Australian Mathematical Society
6 Selecta Mathematica. New Series
6 Journal of the European Mathematical Society (JEMS)
6 Research in the Mathematical Sciences
5 Publications Mathématiques
5 Tôhoku Mathematical Journal. Second Series
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 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 Journal of Mathematical Analysis and Applications
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 Memoirs of the American Mathematical Society
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 Proceedings of the American Mathematical Society. Series B
3 AIMS Mathematics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
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 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 Documenta Mathematica
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Taiwanese Journal of Mathematics
2 LMS Journal of Computation and Mathematics
...and 102 more Serials
all top 5

Cited in 49 Fields

1,015 Number theory (11-XX)
270 Algebraic geometry (14-XX)
31 Group theory and generalizations (20-XX)
27 \(K\)-theory (19-XX)
22 Commutative algebra (13-XX)
20 Associative rings and algebras (16-XX)
15 Topological groups, Lie groups (22-XX)
14 History and biography (01-XX)
14 Mathematical logic and foundations (03-XX)
14 Functions of a complex variable (30-XX)
14 Partial differential equations (35-XX)
13 Several complex variables and analytic spaces (32-XX)
13 Quantum theory (81-XX)
12 Field theory and polynomials (12-XX)
10 General and overarching topics; collections (00-XX)
10 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 Ordinary differential equations (34-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 Probability theory and stochastic processes (60-XX)
3 Special functions (33-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 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 Mechanics of deformable solids (74-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.