Edit Profile (opens in new tab) Diamond, Fred Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1062.11022Diamond, Fred; Shurman, Jerry 280 2005 On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises. Zbl 0982.11033Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard 262 2001 On Serre’s conjecture for mod \(\ell \) Galois representations over totally real fields. Zbl 1227.11070Buzzard, Kevin; Diamond, Fred; Jarvis, Frazer 63 2010 Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025Diamond, Fred; Taylor, Richard 57 1994 Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085Conrad, Brian; Diamond, Fred; Taylor, Richard 53 1999 Fermat’s Last Theorem. Zbl 0877.11035Darmon, Henri; Diamond, Fred; Taylor, Richard 50 1995 Modular forms and modular curves. Zbl 0853.11032Diamond, Fred; Im, John 50 1995 The Tamagawa number conjecture of adjoint motives of modular forms. Zbl 1121.11045Diamond, Fred; Flach, Matthias; Guo, Li 49 2004 On deformation rings and Hecke rings. Zbl 0867.11032Diamond, Fred 43 1996 The Taylor-Wiles construction and multiplicity one. Zbl 0916.11037Diamond, Fred 42 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 1309.11046Breuil, Christophe; Diamond, Fred 18 2014 Lifting modular mod \(l\) representations. Zbl 0809.11025Diamond, Fred; Taylor, Richard 17 1994 The refined conjecture of Serre. Zbl 0853.11031Diamond, Fred 16 1995 A correspondence between representations of local Galois groups and Lie-type groups. Zbl 1230.11069Diamond, Fred 15 2007 An extension of Wiles’ results. Zbl 0917.11021Diamond, Fred 11 1997 Congruence primes for cusp forms of weight \(k\geq 2\). Zbl 0783.11022Diamond, Fred 10 1991 Extensions of rank one \((\varphi ,\Gamma )\)-modules and crystalline representations. Zbl 1235.11105Chang, Seunghwan; Diamond, Fred 8 2011 Modularity of a family of elliptic curves. Zbl 0867.11041Diamond, Fred; Kramer, Kenneth 6 1995 On congruence modules associated to \(\Lambda\)-adic forms. Zbl 0686.10022Diamond, Fred 5 1989 The Bloch-Kato conjecture for adjoint motives of modular forms. Zbl 1022.11023Diamond, Fred; Flach, Matthias; Guo, Li 5 2001 \(\ell\)-adic modular deformations and Wiles’s “Main Conjecture”. Zbl 0919.11041Diamond, Fred; Ribet, Kenneth A. 4 1997 Serre weights and wild ramification in two-dimensional Galois representations. Zbl 1417.11099Dembélé, Lassina; Diamond, Fred; Roberts, David P. 3 2016 Serre weights for locally reducible two-dimensional Galois representations. Zbl 1396.11084Diamond, Fred; Savitt, David 3 2015 Congruence between modular forms: Raising the level and dropping Euler factors. Zbl 0902.11018Diamond, Fred 3 1997 On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces. Zbl 0923.11074Diamond, Fred 2 1998 Minimal weights of Hilbert modular forms in characteristic \(p\). Zbl 1391.11073Diamond, Fred; Kassaei, Payman L 2 2017 Crystalline lifts of two-dimensional \(\mod p\) automorphic Galois representations. Zbl 1473.11115Diamond, Fred; Reduzzi, Davide A. 1 2018 Crystalline lifts of two-dimensional \(\mod p\) automorphic Galois representations. Zbl 1473.11115Diamond, Fred; Reduzzi, Davide A. 1 2018 Minimal weights of Hilbert modular forms in characteristic \(p\). Zbl 1391.11073Diamond, Fred; Kassaei, Payman L 2 2017 Serre weights and wild ramification in two-dimensional Galois representations. Zbl 1417.11099Dembélé, Lassina; Diamond, Fred; Roberts, David P. 3 2016 Serre weights for locally reducible two-dimensional Galois representations. Zbl 1396.11084Diamond, Fred; Savitt, David 3 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 1309.11046Breuil, Christophe; Diamond, Fred 18 2014 Extensions of rank one \((\varphi ,\Gamma )\)-modules and crystalline representations. Zbl 1235.11105Chang, Seunghwan; Diamond, Fred 8 2011 On Serre’s conjecture for mod \(\ell \) Galois representations over totally real fields. Zbl 1227.11070Buzzard, Kevin; Diamond, Fred; Jarvis, Frazer 63 2010 A correspondence between representations of local Galois groups and Lie-type groups. Zbl 1230.11069Diamond, Fred 15 2007 A first course in modular forms. Zbl 1062.11022Diamond, Fred; Shurman, Jerry 280 2005 The Tamagawa number conjecture of adjoint motives of modular forms. Zbl 1121.11045Diamond, Fred; Flach, Matthias; Guo, Li 49 2004 On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises. Zbl 0982.11033Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard 262 2001 The Bloch-Kato conjecture for adjoint motives of modular forms. Zbl 1022.11023Diamond, Fred; Flach, Matthias; Guo, Li 5 2001 Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085Conrad, Brian; Diamond, Fred; Taylor, Richard 53 1999 On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces. Zbl 0923.11074Diamond, Fred 2 1998 The Taylor-Wiles construction and multiplicity one. Zbl 0916.11037Diamond, Fred 42 1997 An extension of Wiles’ results. Zbl 0917.11021Diamond, Fred 11 1997 \(\ell\)-adic modular deformations and Wiles’s “Main Conjecture”. Zbl 0919.11041Diamond, Fred; Ribet, Kenneth A. 4 1997 Congruence between modular forms: Raising the level and dropping Euler factors. Zbl 0902.11018Diamond, Fred 3 1997 On deformation rings and Hecke rings. Zbl 0867.11032Diamond, Fred 43 1996 Fermat’s Last Theorem. Zbl 0877.11035Darmon, Henri; Diamond, Fred; Taylor, Richard 50 1995 Modular forms and modular curves. Zbl 0853.11032Diamond, Fred; Im, John 50 1995 The refined conjecture of Serre. Zbl 0853.11031Diamond, Fred 16 1995 Modularity of a family of elliptic curves. Zbl 0867.11041Diamond, Fred; Kramer, Kenneth 6 1995 Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025Diamond, Fred; Taylor, Richard 57 1994 Lifting modular mod \(l\) representations. Zbl 0809.11025Diamond, Fred; Taylor, Richard 17 1994 Congruence primes for cusp forms of weight \(k\geq 2\). Zbl 0783.11022Diamond, Fred 10 1991 On congruence modules associated to \(\Lambda\)-adic forms. Zbl 0686.10022Diamond, Fred 5 1989 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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