Edit Profile (opens in new tab) Diamond, Fred Co-Author Distance 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: 34 Publications since 1989, including 2 Books 3 Contributions as Editor Co-Authors: 27 Co-Authors with 27 Joint Publications 455 Co-Co-Authors all top 5 Co-Authors 10 single-authored 5 Kassaei, Payman L. 5 Taylor, Richard 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. 2 Sasaki, Shu 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, Sebastiaan Johan 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 Journal of the Institute of Mathematics of Jussieu 2 London Mathematical Society Lecture Note Series 1 IMRN. International Mathematics Research Notices 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 European Mathematical Society (JEMS) 1 Astérisque 1 Graduate Texts in Mathematics 1 Forum of Mathematics, Sigma 1 Advanced Courses in Mathematics – CRM Barcelona all top 5 Fields 35 Number theory (11-XX) 8 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 28 Publications have been cited 1,294 times in 976 Documents Cited by ▼ Year ▼ A first course in modular forms. Zbl 1062.11022Diamond, Fred; Shurman, Jerry 366 2005 On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises. Zbl 0982.11033Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard 297 2001 On Serre’s conjecture for mod \(\ell \) Galois representations over totally real fields. Zbl 1227.11070Buzzard, Kevin; Diamond, Fred; Jarvis, Frazer 78 2010 Fermat’s Last Theorem. Zbl 0877.11035Darmon, Henri; Diamond, Fred; Taylor, Richard 66 1995 Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025Diamond, Fred; Taylor, Richard 63 1994 Modular forms and modular curves. Zbl 0853.11032Diamond, Fred; Im, John 61 1995 Modularity of certain potentially Barsotti-Tate Galois representations. Zbl 0923.11085Conrad, Brian; Diamond, Fred; Taylor, Richard 56 1999 The Tamagawa number conjecture of adjoint motives of modular forms. Zbl 1121.11045Diamond, Fred; Flach, Matthias; Guo, Li 52 2004 The Taylor-Wiles construction and multiplicity one. Zbl 0916.11037Diamond, Fred 48 1997 On deformation rings and Hecke rings. Zbl 0867.11032Diamond, Fred 45 1996 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 23 2014 Lifting modular mod \(l\) representations. Zbl 0809.11025Diamond, Fred; Taylor, Richard 21 1994 A correspondence between representations of local Galois groups and Lie-type groups. Zbl 1230.11069Diamond, Fred 17 2007 The refined conjecture of Serre. Zbl 0853.11031Diamond, Fred 16 1995 An extension of Wiles’ results. Zbl 0917.11021Diamond, Fred 16 1997 Congruence primes for cusp forms of weight \(k\geq 2\). Zbl 0783.11022Diamond, Fred 11 1991 Extensions of rank one \((\varphi ,\Gamma )\)-modules and crystalline representations. Zbl 1235.11105Chang, Seunghwan; Diamond, Fred 10 2011 Modularity of a family of elliptic curves. Zbl 0867.11041Diamond, Fred; Kramer, Kenneth 9 1995 Congruence between modular forms: Raising the level and dropping Euler factors. Zbl 0902.11018Diamond, Fred 6 1997 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 Serre weights and wild ramification in two-dimensional Galois representations. Zbl 1417.11099Dembélé, Lassina; Diamond, Fred; Roberts, David P. 5 2016 Minimal weights of Hilbert modular forms in characteristic \(p\). Zbl 1391.11073Diamond, Fred; Kassaei, Payman L 4 2017 Serre weights for locally reducible two-dimensional Galois representations. Zbl 1396.11084Diamond, Fred; Savitt, David 4 2015 \(\ell\)-adic modular deformations and Wiles’s “Main Conjecture”. Zbl 0919.11041Diamond, Fred; Ribet, Kenneth A. 4 1997 A \(\operatorname{mod} p\) Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties: splicing and dicing. Zbl 07697274Diamond, Fred; Kassaei, Payman; Sasaki, Shu 3 2023 On the Hecke action on the cohomology of Hilbert-Blumenthal surfaces. Zbl 0923.11074Diamond, Fred 2 1998 Crystalline lifts of two-dimensional \(\mod p\) automorphic Galois representations. Zbl 1473.11115Diamond, Fred; Reduzzi, Davide A. 1 2018 A \(\operatorname{mod} p\) Jacquet-Langlands relation and Serre filtration via the geometry of Hilbert modular varieties: splicing and dicing. Zbl 07697274Diamond, Fred; Kassaei, Payman; Sasaki, Shu 3 2023 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 4 2017 Serre weights and wild ramification in two-dimensional Galois representations. Zbl 1417.11099Dembélé, Lassina; Diamond, Fred; Roberts, David P. 5 2016 Serre weights for locally reducible two-dimensional Galois representations. Zbl 1396.11084Diamond, Fred; Savitt, David 4 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 23 2014 Extensions of rank one \((\varphi ,\Gamma )\)-modules and crystalline representations. Zbl 1235.11105Chang, Seunghwan; Diamond, Fred 10 2011 On Serre’s conjecture for mod \(\ell \) Galois representations over totally real fields. Zbl 1227.11070Buzzard, Kevin; Diamond, Fred; Jarvis, Frazer 78 2010 A correspondence between representations of local Galois groups and Lie-type groups. Zbl 1230.11069Diamond, Fred 17 2007 A first course in modular forms. Zbl 1062.11022Diamond, Fred; Shurman, Jerry 366 2005 The Tamagawa number conjecture of adjoint motives of modular forms. Zbl 1121.11045Diamond, Fred; Flach, Matthias; Guo, Li 52 2004 On the modularity of elliptic curves over \(\mathbb Q\): wild 3-adic exercises. Zbl 0982.11033Breuil, Christophe; Conrad, Brian; Diamond, Fred; Taylor, Richard 297 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 56 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 48 1997 An extension of Wiles’ results. Zbl 0917.11021Diamond, Fred 16 1997 Congruence between modular forms: Raising the level and dropping Euler factors. Zbl 0902.11018Diamond, Fred 6 1997 \(\ell\)-adic modular deformations and Wiles’s “Main Conjecture”. Zbl 0919.11041Diamond, Fred; Ribet, Kenneth A. 4 1997 On deformation rings and Hecke rings. Zbl 0867.11032Diamond, Fred 45 1996 Fermat’s Last Theorem. Zbl 0877.11035Darmon, Henri; Diamond, Fred; Taylor, Richard 66 1995 Modular forms and modular curves. Zbl 0853.11032Diamond, Fred; Im, John 61 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 9 1995 Non-optimal levels of \(\text{mod }l\) modular representations. Zbl 0847.11025Diamond, Fred; Taylor, Richard 63 1994 Lifting modular mod \(l\) representations. Zbl 0809.11025Diamond, Fred; Taylor, Richard 21 1994 Congruence primes for cusp forms of weight \(k\geq 2\). Zbl 0783.11022Diamond, Fred 11 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 935 Authors 26 Gee, Toby 17 Dummigan, Neil 15 Khare, Chandrashekhar 13 Siksek, Samir 12 Bleher, Frauke M. 12 Dieulefait, Luis Victor 11 Bennett, Michael A. 10 Diamond, Fred 10 Morra, Stefano 10 Savitt, David 10 Schimmrigk, Rolf 9 Calegari, Frank 9 Klosin, Krzysztof 9 Le, Daniel 8 Emerton, Matthew 8 Freitas, Nuno 8 Herzig, Florian 8 Liu, Tong 8 Pasten, Hector V. 7 Breuil, Christophe 7 Buium, Alexandru 7 Darmon, Henri René 7 Hida, Haruzo 7 Newton, James 7 Skinner, Christopher M. 7 Taylor, Richard 7 Thorne, Jack 6 Berger, Tobias 6 Chen, Imin 6 Choi, Dohoon 6 Geraghty, David 6 Harris, Michael Howard 6 Kim, Chan-Ho 6 Kisin, Mark 6 Laurinčikas, Antanas 6 Le Hung, Bao Viet 6 Levin, Brandon 6 Lim, Subong 6 Longo, Matteo 6 Murty, Maruti Ram 6 Rouse, Jeremy A. 6 Voight, John Michael 6 Wiese, Gabor 6 Ye, Dongxi 5 Ahlgren, Scott D. 5 Bergström, Jonas 5 Bhattacharya, Soumya 5 Billerey, Nicolas 5 Brown, Jim L. 5 Bruinier, Jan Hendrik 5 Castella, Francesc 5 Chinburg, Ted 5 Guitart, Xavier 5 Hu, Yongquan 5 Kim, Chang Heon 5 Patrikis, Stefan T. 5 Rotger, Victor 5 Shekhar, Sudhanshu 5 Shin, Dong Hwa 5 Stein, William A. 5 Vatsal, Vinayak 5 Yoo, Hwajong 4 Bertolini, Massimo 4 Böckle, Gebhard 4 Buzzard, Kevin 4 Byeon, Dongho 4 Caruso, Xavier 4 Chida, Masataka 4 Conrad, Brian 4 Dąbrowski, Andrzej Bogdan 4 Delaunay, Christophe 4 Fakhruddin, Najmuddin 4 González-Jiménez, Enrique 4 Huber, Tim 4 Jeon, Daeyeol 4 Kim, Daeyeoul 4 Kiming, Ian 4 Koo, Jakyung 4 Koutsianas, Angelos 4 Kumar, Narasimha 4 Lei, Antonio 4 Long, Ling 4 Mascot, Nicolas 4 Matar, Ahmed 4 Mazur, Barry 4 Meier, Lennart 4 Poonen, Bjorn 4 Radu, Cristian-Silviu 4 Schein, Michael M. 4 Şengün, Mehmet Haluk 4 Stoll, Michael 4 Ramdorai, Sujatha 4 Urban, Eric 4 Virdol, Cristian 4 Wang, Liuquan 4 Wiles, Andrew John 4 Wuthrich, Christian 4 Yoshikawa, Sho 3 Agarwal, Mahesh 3 Aygin, Zafer Selçuk ...and 835 more Authors all top 5 Cited in 167 Serials 119 Journal of Number Theory 50 International Journal of Number Theory 35 Duke Mathematical Journal 34 Journal de Théorie des Nombres de Bordeaux 30 The Ramanujan Journal 30 Research in Number Theory 29 Transactions of the American Mathematical Society 27 Compositio Mathematica 26 Mathematics of Computation 24 Proceedings of the American Mathematical Society 21 Inventiones Mathematicae 18 Advances in Mathematics 18 Journal of High Energy Physics 17 Mathematische Zeitschrift 16 Mathematische Annalen 15 Annales de l’Institut Fourier 15 Journal of Algebra 14 Bulletin of the American Mathematical Society. New Series 14 Algebra & Number Theory 13 Journal für die Reine und Angewandte Mathematik 13 Journal of the Institute of Mathematics of Jussieu 12 Israel Journal of Mathematics 12 Journal of the American Mathematical Society 12 Experimental Mathematics 11 Research in the Mathematical Sciences 10 Acta Arithmetica 8 Journal of Mathematical Analysis and Applications 7 Functiones et Approximatio. Commentarii Mathematici 7 Journal of the London Mathematical Society. Second Series 7 Forum of Mathematics, Sigma 6 Mathematical Proceedings of the Cambridge Philosophical Society 6 Manuscripta Mathematica 6 Mathematika 6 Memoirs of the American Mathematical Society 6 Annals of Mathematics. Second Series 5 Communications in Mathematical Physics 5 Nuclear Physics. B 5 Publications Mathématiques 5 Journal of the Mathematical Society of Japan 5 Journal of the European Mathematical Society (JEMS) 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 5 Forum of Mathematics, Pi 5 Annales Mathématiques du Québec 4 Bulletin of the Australian Mathematical Society 4 Indian Journal of Pure & Applied Mathematics 4 Mathematical Notes 4 Bulletin de la Société Mathématique de France 4 Glasgow Mathematical Journal 4 Journal of Mathematical Sciences (New York) 4 Finite Fields and their Applications 4 Selecta Mathematica. New Series 4 Documenta Mathematica 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Archiv der Mathematik 3 Canadian Mathematical Bulletin 3 Geometriae Dedicata 3 Journal of Pure and Applied Algebra 3 Nagoya Mathematical Journal 3 Pacific Journal of Mathematics 3 Tokyo Journal of Mathematics 3 Journal of the Ramanujan Mathematical Society 3 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 3 Journal of the Australian Mathematical Society 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 International Journal of Modern Physics A 2 American Mathematical Monthly 2 Lithuanian Mathematical Journal 2 Journal of Geometry and Physics 2 Michigan Mathematical Journal 2 Monatshefte für Mathematik 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 Bulletin of the Iranian Mathematical Society 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 Expositiones Mathematicae 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 Oberwolfach Reports 2 Kyoto Journal of Mathematics 2 Open Mathematics 2 Journal de l’École Polytechnique – Mathématiques 2 Transactions of the American Mathematical Society. Series B 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 ...and 67 more Serials all top 5 Cited in 40 Fields 895 Number theory (11-XX) 221 Algebraic geometry (14-XX) 38 Topological groups, Lie groups (22-XX) 32 Group theory and generalizations (20-XX) 31 Quantum theory (81-XX) 18 Special functions (33-XX) 17 Relativity and gravitational theory (83-XX) 16 Combinatorics (05-XX) 13 Several complex variables and analytic spaces (32-XX) 12 Associative rings and algebras (16-XX) 10 Functions of a complex variable (30-XX) 8 Nonassociative rings and algebras (17-XX) 8 Information and communication theory, circuits (94-XX) 7 Commutative algebra (13-XX) 6 Field theory and polynomials (12-XX) 6 Category theory; homological algebra (18-XX) 6 Manifolds and cell complexes (57-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 5 Algebraic topology (55-XX) 4 Ordinary differential equations (34-XX) 4 Geometry (51-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Probability theory and stochastic processes (60-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 \(K\)-theory (19-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Computer science (68-XX) 2 History and biography (01-XX) 2 Partial differential equations (35-XX) 2 Mathematics education (97-XX) 1 Mathematical logic and foundations (03-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 Statistical mechanics, structure of matter (82-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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