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## Diamond, Fred

Compute Distance To:
 Author ID: diamond.fred Published as: Diamond, F.; Diamond, Fred Homepage: https://www.kcl.ac.uk/nms/depts/mathematics/people/atoz/diamondf.aspx External Links: MGP · Wikidata · ORCID · GND
 Documents Indexed: 33 Publications since 1989, including 4 Books
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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 Flach, Matthias 2 Guo, Li 2 Kim, Minhyong 2 Kramer, Kenneth B. 1 Bobylev, Nikolaĭ Antonovich 1 Bulatov, Alexander V. 1 Buzzard, Kevin 1 Chang, Seunghwan 1 Dembélé, Lassina 1 Dieulefait, Luis Victor 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 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 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

26 Publications have been cited 927 times in 696 Documents Cited by Year
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
A first course in modular forms. Zbl 1062.11022
Diamond, Fred; Shurman, Jerry
2005
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
The Tamagawa number conjecture of adjoint motives of modular forms. Zbl 1121.11045
Diamond, Fred; Flach, Matthias; Guo, Li
2004
Modular forms and modular curves. Zbl 0853.11032
Diamond, Fred; Im, John
1995
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
1995
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
The refined conjecture of Serre. Zbl 0853.11031
Diamond, Fred
1995
Hilbert modular forms modulo $$p$$ and values of extensions between Galois characters. Zbl 1309.11046
Breuil, Christophe; Diamond, Fred
2014
Lifting modular mod $$l$$ representations. Zbl 0809.11025
Diamond, Fred; Taylor, Richard
1994
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
Extensions of rank one $$(\varphi ,\Gamma )$$-modules and crystalline representations. Zbl 1235.11105
Chang, Seunghwan; Diamond, Fred
2011
Congruence primes for cusp forms of weight $$k\geq 2$$. Zbl 0783.11022
Diamond, Fred
1991
The Bloch-Kato conjecture for adjoint motives of modular forms. Zbl 1022.11023
Diamond, Fred; Flach, Matthias; Guo, Li
2001
Modularity of a family of elliptic curves. Zbl 0867.11041
Diamond, Fred; Kramer, Kenneth
1995
Serre weights and wild ramification in two-dimensional Galois representations. Zbl 1417.11099
Dembélé, Lassina; Diamond, Fred; Roberts, David P.
2016
$$\ell$$-adic modular deformations and Wiles’s “Main Conjecture”. Zbl 0919.11041
Diamond, Fred; Ribet, Kenneth A.
1997
On congruence modules associated to $$\Lambda$$-adic forms. Zbl 0686.10022
Diamond, Fred
1989
Serre weights for locally reducible two-dimensional Galois representations. Zbl 1396.11084
Diamond, Fred; Savitt, David
2015
On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces. Zbl 0923.11074
Diamond, Fred
1998
Congruence between modular forms: Raising the level and dropping Euler factors. Zbl 0902.11018
Diamond, Fred
1997
Minimal weights of Hilbert modular forms in characteristic $$p$$. Zbl 1391.11073
Diamond, Fred; Kassaei, Payman L
2017
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. 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
Modular forms and modular curves. Zbl 0853.11032
Diamond, Fred; Im, John
1995
Fermat’s Last Theorem. Zbl 0877.11035
Darmon, Henri; Diamond, Fred; Taylor, Richard
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 674 Authors

 22 Gee, Toby 12 Dummigan, Neil 11 Bleher, Frauke M. 11 Dieulefait, Luis Victor 11 Siksek, Samir 10 Savitt, David 10 Schimmrigk, Rolf 9 Bennett, Michael A. 9 Khare, Chandrashekhar 8 Diamond, Fred 8 Klosin, Krzysztof 7 Buium, Alexandru 7 Calegari, Frank 7 Darmon, Henri René 7 Emerton, Matthew 7 Herzig, Florian 7 Liu, Tong 7 Stein, William A. 7 Taylor, Richard Lawrence 6 Freitas, Nuno 6 Geraghty, David 6 Harris, Michael Howard 6 Le, Daniel 6 Morra, Stefano 5 Berger, Tobias 5 Breuil, Christophe 5 Brown, Jim L. 5 Chen, Imin 5 Chinburg, Ted 5 Choi, Dohoon 5 Guitart, Xavier 5 Kisin, Mark 5 Le Hung, Bao V. 5 Levin, Brandon 5 Lim, Subong 5 Longo, Matteo 5 Murty, Maruti Ram 5 Rotger, Victor 5 Rouse, Jeremy A. 5 Skinner, Christopher M. 4 Ahlgren, Scott D. 4 Bergström, Jonas 4 Bertolini, Massimo 4 Billerey, Nicolas 4 Buzzard, Kevin 4 Chida, Masataka 4 Delaunay, Christophe 4 Hida, Haruzo 4 Huber, Tim 4 Kiming, Ian 4 Koo, Jakyung 4 Laurinčikas, Antanas 4 Long, Ling 4 Poonen, Bjorn 4 Shin, Dong Hwa 4 Stoll, Michael 4 Virdol, Cristian 4 Wiese, Gabor 4 Wiles, Andrew John 4 Wuthrich, Christian 3 Agarwal, Mahesh 3 Bhattacharya, Soumya 3 Bruinier, Jan Hendrik 3 Brunault, François 3 Byeon, Dongho 3 Caruso, Xavier 3 Cheng, Chuangxun 3 Cho, Bumkyu 3 Conrad, Brian 3 Dąbrowski, Andrzej M. 3 Dahmen, Sander R. 3 Dimitrov, Mladen 3 Ghitza, Alexandru 3 González-Jiménez, Enrique 3 Hu, Yongquan 3 Jarvis, Frazer 3 Jiménez-Urroz, Jorge 3 Kassaei, Payman L. 3 Kim, Byungchan 3 Kim, Chan-Ho 3 Kisilevsky, Hershy 3 Kumar, Narasimha 3 Lei, Antonio 3 Li, Wen-Ch’ing Winnie 3 Llosent, Giovanna 3 Lozano-Robledo, Álvaro 3 Masdeu, Marc 3 Mazur, Barry 3 Movasati, Hossein 3 Newton, James 3 Pacetti, Ariel 3 Pagani, Nicola 3 Paskunas, Vytautas 3 Pasten, Hector V. 3 Radu, Cristian-Silviu 3 Saha, Arnab 3 Schein, Michael M. 3 Şengün, Mehmet Haluk 3 Shekhar, Sudhanshu 3 Silverman, Joseph Hillel ...and 574 more Authors
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#### Cited in 128 Serials

 101 Journal of Number Theory 37 International Journal of Number Theory 32 Duke Mathematical Journal 29 Journal de Théorie des Nombres de Bordeaux 22 Mathematics of Computation 22 Compositio Mathematica 22 Transactions of the American Mathematical Society 21 Proceedings of the American Mathematical Society 17 The Ramanujan Journal 16 Advances in Mathematics 16 Inventiones Mathematicae 15 Annales de l’Institut Fourier 14 Mathematische Annalen 14 Research in Number Theory 13 Bulletin of the American Mathematical Society. New Series 12 Mathematische Zeitschrift 11 Journal of the American Mathematical Society 10 Journal of Algebra 10 Journal für die Reine und Angewandte Mathematik 10 Journal of High Energy Physics 9 Experimental Mathematics 8 Israel Journal of Mathematics 8 Algebra & Number Theory 7 Functiones et Approximatio. Commentarii Mathematici 6 Journal of the Institute of Mathematics of Jussieu 5 Manuscripta Mathematica 5 Annals of Mathematics. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Research in the Mathematical Sciences 4 Journal of Mathematical Analysis and Applications 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Nuclear Physics. B 4 Acta Arithmetica 4 Journal of the London Mathematical Society. Second Series 4 Journal of Mathematical Sciences (New York) 4 Selecta Mathematica. New Series 4 Forum of Mathematics, Sigma 3 Indian Journal of Pure & Applied Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Glasgow Mathematical Journal 3 Journal of the Mathematical Society of Japan 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 Finite Fields and their Applications 3 Documenta Mathematica 3 Journal of the Australian Mathematical Society 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Forum of Mathematics, Pi 2 International Journal of Modern Physics A 2 American Mathematical Monthly 2 Bulletin of the Australian Mathematical Society 2 Communications in Mathematical Physics 2 Mathematical Notes 2 Journal of Geometry and Physics 2 Archiv der Mathematik 2 Geometriae Dedicata 2 Publications Mathématiques 2 Journal of Pure and Applied Algebra 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 Revista Matemática Iberoamericana 2 International Journal of Mathematics 2 Elemente der Mathematik 2 Proceedings of the National Academy of Sciences of the United States of America 2 Taiwanese Journal of Mathematics 2 Annals of Combinatorics 2 Journal of the European Mathematical Society (JEMS) 2 Acta Mathematica Sinica. English Series 2 Integers 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Kyoto Journal of Mathematics 2 Annales Mathématiques du Québec 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 Lithuanian Mathematical Journal 1 Rocky Mountain Journal of Mathematics 1 Acta Mathematica 1 Bulletin de la Société Mathématique de France 1 Journal of Approximation Theory 1 Journal of Computational and Applied Mathematics 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Rendiconti del Seminario Matematico della Università di Padova 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 Advances in Applied Mathematics 1 Bulletin of the Korean Mathematical Society 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society ...and 28 more Serials
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#### Cited in 35 Fields

 640 Number theory (11-XX) 155 Algebraic geometry (14-XX) 27 Topological groups, Lie groups (22-XX) 25 Group theory and generalizations (20-XX) 19 Quantum theory (81-XX) 13 Relativity and gravitational theory (83-XX) 11 Associative rings and algebras (16-XX) 11 Special functions (33-XX) 10 Combinatorics (05-XX) 9 Several complex variables and analytic spaces (32-XX) 6 Category theory; homological algebra (18-XX) 5 Commutative algebra (13-XX) 5 Differential geometry (53-XX) 5 Manifolds and cell complexes (57-XX) 5 Information and communication theory, circuits (94-XX) 4 Nonassociative rings and algebras (17-XX) 4 Functions of a complex variable (30-XX) 4 Geometry (51-XX) 3 General and overarching topics; collections (00-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Field theory and polynomials (12-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Ordinary differential equations (34-XX) 2 Partial differential equations (35-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mathematics education (97-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 $$K$$-theory (19-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Astronomy and astrophysics (85-XX)

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