## Diamond, Fred

Compute Distance To:
 Author ID: diamond.fred Published as: Diamond, Fred; Diamond, F. Further Spellings: Diamond, Fred Irvin Homepage: https://www.kcl.ac.uk/nms/depts/mathematics/people/atoz/diamondf.aspx External Links: MGP · ORCID · Wikidata · Google Scholar · GND · IdRef
 Documents Indexed: 30 Publications since 1989, including 1 Book 3 Contributions as Editor Co-Authors: 26 Co-Authors with 24 Joint Publications 424 Co-Co-Authors
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### Co-Authors

 9 single-authored 5 Taylor, Richard Lawrence 3 Kassaei, Payman L. 2 Breuil, Christophe 2 Conrad, Brian 2 Darmon, Henri René 2 Dembélé, Lassina 2 Flach, Matthias 2 Guo, Li 2 Kim, Minhyong 2 Kramer, Kenneth B. 1 Berger, Laurent 1 Bobylev, Nikolaĭ Antonovich 1 Böckle, Gebhard 1 Bulatov, Alexander V. 1 Buzzard, Kevin 1 Chang, Seunghwan 1 Dieulefait, Luis Victor 1 Dimitrov, Mladen 1 Dokchitser, Tim 1 Edixhoven, Bas 1 Im, John 1 Jarvis, Frazer 1 Matveenko, N. I. 1 Reduzzi, Davide A. 1 Ribet, Kenneth Alan 1 Roberts, David Peter 1 Rotger, Victor 1 Savitt, David 1 Shurman, Jerry 1 Voight, John Michael 1 Yumagulov, Marat Gayazovich
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### Serials

 3 Compositio Mathematica 3 Mathematical Research Letters 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Journal of the American Mathematical Society 2 London Mathematical Society Lecture Note Series 1 Automation and Remote Control 1 Proceedings of the National Academy of Sciences of the United States of America 1 Doklady Mathematics 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu 1 Graduate Texts in Mathematics 1 Forum of Mathematics, Sigma 1 Advanced Courses in Mathematics – CRM Barcelona
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### Fields

 31 Number theory (11-XX) 6 Algebraic geometry (14-XX) 3 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 1 Associative rings and algebras (16-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX)

### Citations contained in zbMATH Open

27 Publications have been cited 1,078 times in 813 Documents Cited by Year
A first course in modular forms. Zbl 1062.11022
Diamond, Fred; Shurman, Jerry
2005
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 Serre’s conjecture for mod $$\ell$$ Galois representations over totally real fields. Zbl 1227.11070
Buzzard, Kevin; Diamond, Fred; Jarvis, Frazer
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
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
1995
Modular forms and modular curves. Zbl 0853.11032
Diamond, Fred; Im, John
1995
The Tamagawa number conjecture of adjoint motives of modular forms. Zbl 1121.11045
Diamond, Fred; Flach, Matthias; Guo, Li
2004
On deformation rings and Hecke rings. Zbl 0867.11032
Diamond, Fred
1996
The Taylor-Wiles construction and multiplicity one. Zbl 0916.11037
Diamond, Fred
1997
Hilbert modular forms modulo $$p$$ and values of extensions between Galois characters. (Formes modulaires de Hilbert modulo $$p$$ et valeurs d’extensions entre caractères galoisiens.) Zbl 1309.11046
Breuil, Christophe; Diamond, Fred
2014
Lifting modular mod $$l$$ representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
1994
The refined conjecture of Serre. Zbl 0853.11031
Diamond, Fred
1995
A correspondence between representations of local Galois groups and Lie-type groups. Zbl 1230.11069
Diamond, Fred
2007
An extension of Wiles’ results. Zbl 0917.11021
Diamond, Fred
1997
Congruence primes for cusp forms of weight $$k\geq 2$$. Zbl 0783.11022
Diamond, Fred
1991
Extensions of rank one $$(\varphi ,\Gamma )$$-modules and crystalline representations. Zbl 1235.11105
Chang, Seunghwan; Diamond, Fred
2011
Modularity of a family of elliptic curves. Zbl 0867.11041
Diamond, Fred; Kramer, Kenneth
1995
On congruence modules associated to $$\Lambda$$-adic forms. Zbl 0686.10022
Diamond, Fred
1989
The Bloch-Kato conjecture for adjoint motives of modular forms. Zbl 1022.11023
Diamond, Fred; Flach, Matthias; Guo, Li
2001
$$\ell$$-adic modular deformations and Wiles’s “Main Conjecture”. Zbl 0919.11041
Diamond, Fred; Ribet, Kenneth A.
1997
Serre weights and wild ramification in two-dimensional Galois representations. Zbl 1417.11099
Dembélé, Lassina; Diamond, Fred; Roberts, David P.
2016
Serre weights for locally reducible two-dimensional Galois representations. Zbl 1396.11084
Diamond, Fred; Savitt, David
2015
Congruence between modular forms: Raising the level and dropping Euler factors. Zbl 0902.11018
Diamond, Fred
1997
On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces. Zbl 0923.11074
Diamond, Fred
1998
Minimal weights of Hilbert modular forms in characteristic $$p$$. Zbl 1391.11073
Diamond, Fred; Kassaei, Payman L
2017
Crystalline lifts of two-dimensional $$\mod p$$ automorphic Galois representations. Zbl 1473.11115
Diamond, Fred; Reduzzi, Davide A.
2018
Crystalline lifts of two-dimensional $$\mod p$$ automorphic Galois representations. Zbl 1473.11115
Diamond, Fred; Reduzzi, Davide A.
2018
Minimal weights of Hilbert modular forms in characteristic $$p$$. Zbl 1391.11073
Diamond, Fred; Kassaei, Payman L
2017
Serre weights and wild ramification in two-dimensional Galois representations. Zbl 1417.11099
Dembélé, Lassina; Diamond, Fred; Roberts, David P.
2016
Serre weights for locally reducible two-dimensional Galois representations. Zbl 1396.11084
Diamond, Fred; Savitt, David
2015
Hilbert modular forms modulo $$p$$ and values of extensions between Galois characters. (Formes modulaires de Hilbert modulo $$p$$ et valeurs d’extensions entre caractères galoisiens.) Zbl 1309.11046
Breuil, Christophe; Diamond, Fred
2014
Extensions of rank one $$(\varphi ,\Gamma )$$-modules and crystalline representations. Zbl 1235.11105
Chang, Seunghwan; Diamond, Fred
2011
On Serre’s conjecture for mod $$\ell$$ Galois representations over totally real fields. Zbl 1227.11070
Buzzard, Kevin; Diamond, Fred; Jarvis, Frazer
2010
A correspondence between representations of local Galois groups and Lie-type groups. Zbl 1230.11069
Diamond, Fred
2007
A first course in modular forms. Zbl 1062.11022
Diamond, Fred; Shurman, Jerry
2005
The Tamagawa number conjecture of adjoint motives of modular forms. Zbl 1121.11045
Diamond, Fred; Flach, Matthias; Guo, Li
2004
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
The Bloch-Kato conjecture for adjoint motives of modular forms. Zbl 1022.11023
Diamond, Fred; Flach, Matthias; Guo, Li
2001
Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085
Conrad, Brian; Diamond, Fred; Taylor, Richard
1999
On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces. Zbl 0923.11074
Diamond, Fred
1998
The Taylor-Wiles construction and multiplicity one. Zbl 0916.11037
Diamond, Fred
1997
An extension of Wiles’ results. Zbl 0917.11021
Diamond, Fred
1997
$$\ell$$-adic modular deformations and Wiles’s “Main Conjecture”. Zbl 0919.11041
Diamond, Fred; Ribet, Kenneth A.
1997
Congruence between modular forms: Raising the level and dropping Euler factors. Zbl 0902.11018
Diamond, Fred
1997
On deformation rings and Hecke rings. Zbl 0867.11032
Diamond, Fred
1996
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
1995
Modular forms and modular curves. Zbl 0853.11032
Diamond, Fred; Im, John
1995
The refined conjecture of Serre. Zbl 0853.11031
Diamond, Fred
1995
Modularity of a family of elliptic curves. Zbl 0867.11041
Diamond, Fred; Kramer, Kenneth
1995
Non-optimal levels of $$\text{mod }l$$ modular representations. Zbl 0847.11025
Diamond, Fred; Taylor, Richard
1994
Lifting modular mod $$l$$ representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
1994
Congruence primes for cusp forms of weight $$k\geq 2$$. Zbl 0783.11022
Diamond, Fred
1991
On congruence modules associated to $$\Lambda$$-adic forms. Zbl 0686.10022
Diamond, Fred
1989
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### Cited by 795 Authors

 25 Gee, Toby 16 Dummigan, Neil 12 Khare, Chandrashekhar 11 Bleher, Frauke M. 11 Dieulefait, Luis Victor 11 Siksek, Samir 10 Bennett, Michael A. 10 Savitt, David 10 Schimmrigk, Rolf 9 Calegari, Frank 9 Klosin, Krzysztof 8 Diamond, Fred 8 Emerton, Matthew 8 Le, Daniel 7 Buium, Alexandru 7 Darmon, Henri René 7 Herzig, Florian 7 Hida, Haruzo 7 Liu, Tong 7 Morra, Stefano 7 Taylor, Richard Lawrence 6 Berger, Tobias 6 Choi, Dohoon 6 Freitas, Nuno 6 Geraghty, David 6 Harris, Michael Howard 6 Laurinčikas, Antanas 6 Lim, Subong 6 Newton, James 6 Skinner, Christopher M. 5 Bhattacharya, Soumya 5 Breuil, Christophe 5 Brown, Jim L. 5 Chen, Imin 5 Chinburg, Ted 5 Guitart, Xavier 5 Kisin, Mark 5 Le Hung, Bao V. 5 Levin, Brandon 5 Longo, Matteo 5 Murty, Maruti Ram 5 Pasten, Hector V. 5 Rotger, Victor 5 Rouse, Jeremy A. 5 Stein, William A. 5 Wiese, Gabor 5 Ye, Dongxi 4 Ahlgren, Scott D. 4 Bergström, Jonas 4 Bertolini, Massimo 4 Billerey, Nicolas 4 Böckle, Gebhard 4 Bruinier, Jan Hendrik 4 Buzzard, Kevin 4 Byeon, Dongho 4 Castella, Francesc 4 Chida, Masataka 4 Conrad, Brian 4 Delaunay, Christophe 4 Huber, Tim 4 Kim, Daeyeoul 4 Kiming, Ian 4 Koo, Jakyung 4 Long, Ling 4 Matar, Ahmed 4 Mazur, Barry 4 Poonen, Bjorn 4 Shin, Dong Hwa 4 Stoll, Michael 4 Thorne, Jack A. 4 Vatsal, Vinayak 4 Virdol, Cristian 4 Wiles, Andrew John 4 Wuthrich, Christian 3 Agarwal, Mahesh 3 Aygin, Zafer Selçuk 3 Banerjee, Debargha 3 Brunault, François 3 Caruso, Xavier 3 Cheng, Chuangxun 3 Cho, Bumkyu 3 Dąbrowski, Andrzej Bogdan 3 Dahmen, Sander R. 3 Dimitrov, Mladen 3 Garbaliauskienė, Virginija 3 Ghitza, Alexandru 3 González-Jiménez, Enrique 3 Grabner, Peter J. 3 Hsieh, Ming-Lun 3 Hu, Yongquan 3 Jarvis, Frazer 3 Jiménez-Urroz, Jorge 3 Kassaei, Payman L. 3 Kim, Byungchan 3 Kim, Chan-Ho 3 Kim, Chang Heon 3 Koutsianas, Angelos 3 Kumar, Narasimha 3 Lei, Antonio 3 Li, Wen-Ch’ing Winnie ...and 695 more Authors
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### Cited in 150 Serials

 109 Journal of Number Theory 43 International Journal of Number Theory 34 Duke Mathematical Journal 31 Journal de Théorie des Nombres de Bordeaux 25 Transactions of the American Mathematical Society 24 Compositio Mathematica 23 Mathematics of Computation 23 The Ramanujan Journal 22 Proceedings of the American Mathematical Society 21 Research in Number Theory 17 Advances in Mathematics 17 Inventiones Mathematicae 15 Annales de l’Institut Fourier 15 Mathematische Annalen 15 Mathematische Zeitschrift 13 Bulletin of the American Mathematical Society. New Series 12 Journal of High Energy Physics 11 Israel Journal of Mathematics 11 Journal of Algebra 11 Journal of the American Mathematical Society 11 Experimental Mathematics 10 Journal für die Reine und Angewandte Mathematik 9 Journal of the Institute of Mathematics of Jussieu 8 Acta Arithmetica 8 Algebra & Number Theory 7 Functiones et Approximatio. Commentarii Mathematici 7 Research in the Mathematical Sciences 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Manuscripta Mathematica 6 Forum of Mathematics, Sigma 5 Communications in Mathematical Physics 5 Journal of Mathematical Analysis and Applications 5 Nuclear Physics. B 5 Publications Mathématiques 5 Annals of Mathematics. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Glasgow Mathematical Journal 4 Journal of the London Mathematical Society. Second Series 4 Journal of the Mathematical Society of Japan 4 Journal of Mathematical Sciences (New York) 4 Finite Fields and their Applications 4 Selecta Mathematica. New Series 4 Documenta Mathematica 4 Forum of Mathematics, Pi 3 Indian Journal of Pure & Applied Mathematics 3 Mathematical Notes 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Journal of Pure and Applied Algebra 3 Memoirs of the American Mathematical Society 3 Nagoya Mathematical Journal 3 Tokyo Journal of Mathematics 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of the European Mathematical Society (JEMS) 3 Journal of the Australian Mathematical Society 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Annales Mathématiques du Québec 2 International Journal of Modern Physics A 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Lithuanian Mathematical Journal 2 Journal of Geometry and Physics 2 Archiv der Mathematik 2 Geometriae Dedicata 2 Mathematika 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the Japan Academy. Series A 2 Proceedings of the London Mathematical Society. Third Series 2 Advances in Applied Mathematics 2 Revista Matemática Iberoamericana 2 Journal of the Ramanujan Mathematical Society 2 International Journal of Mathematics 2 Elemente der Mathematik 2 Proceedings of the National Academy of Sciences of the United States of America 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Annales Mathématiques Blaise Pascal 2 Taiwanese Journal of Mathematics 2 Annals of Combinatorics 2 Acta Mathematica Sinica. English Series 2 Integers 2 Mathematical Modelling and Analysis 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Kyoto Journal of Mathematics 2 Journal de l’École Polytechnique – Mathématiques 1 Modern Physics Letters A 1 Communications in Algebra 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Russian Mathematical Surveys 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Acta Mathematica 1 Bulletin de la Société Mathématique de France 1 Canadian Mathematical Bulletin 1 Colloquium Mathematicum 1 Journal of Approximation Theory ...and 50 more Serials
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### Cited in 39 Fields

 747 Number theory (11-XX) 179 Algebraic geometry (14-XX) 29 Group theory and generalizations (20-XX) 29 Topological groups, Lie groups (22-XX) 23 Quantum theory (81-XX) 17 Relativity and gravitational theory (83-XX) 16 Special functions (33-XX) 11 Combinatorics (05-XX) 11 Associative rings and algebras (16-XX) 11 Several complex variables and analytic spaces (32-XX) 7 Information and communication theory, circuits (94-XX) 6 Category theory; homological algebra (18-XX) 6 Functions of a complex variable (30-XX) 5 Commutative algebra (13-XX) 5 Nonassociative rings and algebras (17-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 4 General and overarching topics; collections (00-XX) 4 Field theory and polynomials (12-XX) 4 Geometry (51-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Algebraic topology (55-XX) 3 Probability theory and stochastic processes (60-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 $$K$$-theory (19-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Computer science (68-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX)

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