## Buzzard, Kevin

Compute Distance To:
 Author ID: buzzard.kevin Published as: Buzzard, Kevin Further Spellings: Buzzard, Kevin Mark Homepage: http://wwwf.imperial.ac.uk/~buzzard/ External Links: MGP · ORCID · Wikidata · Google Scholar · MathOverflow · dblp · IdRef · theses.fr
 Documents Indexed: 28 Publications since 1996 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 18 Co-Authors with 17 Joint Publications 200 Co-Co-Authors
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### Co-Authors

 12 single-authored 4 Gee, Toby 3 Calegari, Frank 2 Taylor, Richard Lawrence 1 Burns, David John 1 Ciere, Michael 1 Diamond, Fred 1 Dickinson, Mark R. 1 Hughes, Chris 1 Jarvis, Frazer 1 Kilford, Lloyd James Peter 1 Lau, Kenny 1 Lauder, Alan G. B. 1 Livingston, Amelia 1 Mir, Ramon Fernández 1 Nekovář, Jan 1 Shepherd-Barron, Nicholas Ian 1 Stein, William A. 1 Verberkmoes, Alain
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### Serials

 3 Duke Mathematical Journal 2 Compositio Mathematica 1 Bulletin of the London Mathematical Society 1 Journal of Number Theory 1 Journal für die Reine und Angewandte Mathematik 1 Pacific Journal of Mathematics 1 Journal of the American Mathematical Society 1 IMRN. International Mathematics Research Notices 1 Notices of the American Mathematical Society 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Mathematical Research Letters 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Integers 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 London Mathematical Society Lecture Note Series 1 Annales Mathématiques du Québec 1 London Mathematical Society. Newsletter
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### Fields

 26 Number theory (11-XX) 4 Algebraic geometry (14-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

25 Publications have been cited 426 times in 309 Documents Cited by Year
On Serre’s conjecture for mod $$\ell$$ Galois representations over totally real fields. Zbl 1227.11070
Buzzard, Kevin; Diamond, Fred; Jarvis, Frazer
2010
Eigenvarieties. Zbl 1230.11054
Buzzard, Kevin
2007
The conjectural connections between automorphic representations and Galois representations. Zbl 1377.11067
Buzzard, Kevin; Gee, Toby
2014
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
1999
Analytic continuation of overconvergent eigenforms. Zbl 1076.11029
Buzzard, Kevin
2003
Integral models of certain Shimura curves. Zbl 0880.11048
Buzzard, Kevin
1997
The 2-adic eigencurve at the boundary of weight space. Zbl 1187.11020
Buzzard, Kevin; Kilford, L. J. P.
2005
Questions about slopes of modular forms. Zbl 1122.11025
Buzzard, Kevin
2005
On $$p$$-adic families of automorphic forms. Zbl 1166.11322
Buzzard, Kevin
2004
Explicit reduction modulo $$p$$ of certain two-dimensional crystalline representations. Zbl 1189.11054
Buzzard, Kevin; Gee, Toby
2009
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
2001
Slopes of overconvergent 2-adic modular forms. Zbl 1192.11037
Buzzard, Kevin; Calegari, Frank
2005
Explicit reduction modulo $$p$$ of certain 2-dimensional crystalline representations. II. Zbl 1305.11046
Buzzard, Kevin; Gee, Toby
2013
Computing weight one modular forms over $$\mathbb{C}$$ and $$\overline{\mathbb{F}}_{p}$$. Zbl 1375.11040
Buzzard, Kevin
2014
A counterexample to the Gouvêa-Mazur conjecture. Zbl 1149.11309
Buzzard, Kevin; Calegari, Frank
2004
On level-lowering for mod 2 representations. Zbl 1024.11025
Buzzard, Kevin
2000
On the eigenvalues of the Hecke operator $$T_ 2$$. Zbl 0847.11024
Buzzard, Kevin
1996
The 2-adic eigencurve is proper. Zbl 1138.11015
Buzzard, Kevin; Calegari, Frank
2007
Stably uniform affinoids are sheafy. Zbl 1430.14055
Buzzard, Kevin; Verberkmoes, Alain
2018
Families of modular forms. Zbl 1052.11036
Buzzard, Kevin
2001
Potential modularity – a survey. Zbl 1320.11048
Buzzard, Kevin
2012
Slopes of modular forms. Zbl 1408.11032
Buzzard, Kevin; Gee, Toby
2016
A computation of modular forms of weight one and small level. Zbl 1433.11039
Buzzard, Kevin; Lauder, Alan
2017
A mod five approach to modularity of icosahedral Galois representations. Zbl 1054.11028
Buzzard, Kevin; Stein, William A.
2002
Playing simple loony dots-and-boxes endgames optimally. Zbl 1319.91050
Buzzard, Kevin; Ciere, Michael
2014
Stably uniform affinoids are sheafy. Zbl 1430.14055
Buzzard, Kevin; Verberkmoes, Alain
2018
A computation of modular forms of weight one and small level. Zbl 1433.11039
Buzzard, Kevin; Lauder, Alan
2017
Slopes of modular forms. Zbl 1408.11032
Buzzard, Kevin; Gee, Toby
2016
The conjectural connections between automorphic representations and Galois representations. Zbl 1377.11067
Buzzard, Kevin; Gee, Toby
2014
Computing weight one modular forms over $$\mathbb{C}$$ and $$\overline{\mathbb{F}}_{p}$$. Zbl 1375.11040
Buzzard, Kevin
2014
Playing simple loony dots-and-boxes endgames optimally. Zbl 1319.91050
Buzzard, Kevin; Ciere, Michael
2014
Explicit reduction modulo $$p$$ of certain 2-dimensional crystalline representations. II. Zbl 1305.11046
Buzzard, Kevin; Gee, Toby
2013
Potential modularity – a survey. Zbl 1320.11048
Buzzard, Kevin
2012
On Serre’s conjecture for mod $$\ell$$ Galois representations over totally real fields. Zbl 1227.11070
Buzzard, Kevin; Diamond, Fred; Jarvis, Frazer
2010
Explicit reduction modulo $$p$$ of certain two-dimensional crystalline representations. Zbl 1189.11054
Buzzard, Kevin; Gee, Toby
2009
Eigenvarieties. Zbl 1230.11054
Buzzard, Kevin
2007
The 2-adic eigencurve is proper. Zbl 1138.11015
Buzzard, Kevin; Calegari, Frank
2007
The 2-adic eigencurve at the boundary of weight space. Zbl 1187.11020
Buzzard, Kevin; Kilford, L. J. P.
2005
Questions about slopes of modular forms. Zbl 1122.11025
Buzzard, Kevin
2005
Slopes of overconvergent 2-adic modular forms. Zbl 1192.11037
Buzzard, Kevin; Calegari, Frank
2005
On $$p$$-adic families of automorphic forms. Zbl 1166.11322
Buzzard, Kevin
2004
A counterexample to the Gouvêa-Mazur conjecture. Zbl 1149.11309
Buzzard, Kevin; Calegari, Frank
2004
Analytic continuation of overconvergent eigenforms. Zbl 1076.11029
Buzzard, Kevin
2003
A mod five approach to modularity of icosahedral Galois representations. Zbl 1054.11028
Buzzard, Kevin; Stein, William A.
2002
On icosahedral Artin representations. Zbl 1015.11021
Buzzard, Kevin; Dickinson, Mark; Shepherd-Barron, Nick; Taylor, Richard
2001
Families of modular forms. Zbl 1052.11036
Buzzard, Kevin
2001
On level-lowering for mod 2 representations. Zbl 1024.11025
Buzzard, Kevin
2000
Companion forms and weight one forms. Zbl 0965.11019
Buzzard, Kevin; Taylor, Richard
1999
Integral models of certain Shimura curves. Zbl 0880.11048
Buzzard, Kevin
1997
On the eigenvalues of the Hecke operator $$T_ 2$$. Zbl 0847.11024
Buzzard, Kevin
1996
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### Cited by 255 Authors

 19 Gee, Toby 13 Calegari, Frank 10 Pilloni, Vincent 9 Emerton, Matthew 8 Newton, James 7 Kassaei, Payman L. 7 Savitt, David 6 Kilford, Lloyd James Peter 6 Le, Daniel 5 Bergdall, John 5 Buzzard, Kevin 5 Dimitrov, Mladen 5 Ghate, Eknath P. 5 Johansson, Christian 5 Morra, Stefano 5 Scholze, Peter 5 Xiao, Liang 4 Arai, Keisuke 4 Breuil, Christophe 4 Chenevier, Gaëtan 4 Dummigan, Neil 4 Geraghty, David 4 Khare, Chandrashekhar 4 Levin, Brandon 4 Mahnkopf, Joachim 4 Paškūnas, Vytautas 4 Patrikis, Stefan T. 4 Shin, Sug Woo 4 Venkatesh, Akshay 4 Vonk, Jan B. 4 Wiese, Gabor 3 Buium, Alexandru 3 Caraiani, Ana 3 Darmon, Henri René 3 Diamond, Fred 3 Hattori, Shin 3 Herzig, Florian 3 Iovita, Adrian 3 James, Kevin 3 Jehanne, Arnaud 3 Kedlaya, Kiran Sridhara 3 Kiming, Ian 3 Lauder, Alan G. B. 3 Meier, Lennart 3 Rozensztajn, Sandra 3 Rustom, Nadim 3 Sasaki, Shu 3 Thorne, Jack A. 3 Vezzani, Alberto 3 Wan, Daqing 2 Andreatta, Fabrizio 2 Arsovski, Bodan 2 Baldi, Gregorio 2 Barrera, Daniel 2 Berger, Tobias 2 Bhattacharya, Shalini 2 Bijakowski, Stephane 2 Birkbeck, Christopher 2 Caruso, Xavier 2 Castella, Francesc 2 Cheng, Chuangxun 2 Chojecki, Przemyslaw 2 Coleman, Robert Frederick 2 David, Agnès 2 Dembélé, Lassina 2 Farmer, David W. 2 Freixas i Montplet, Gerard 2 Ganguli, Abhik 2 Gao, Hui 2 Goldring, Wushi 2 Goren, Eyal Z. 2 Gräf, Peter Mathias 2 Hansen, David 2 Harris, Michael Howard 2 Hernandez, Valentin 2 Hida, Haruzo 2 Hu, Yongquan 2 Jorza, Andrei 2 Koskivirta, Jean-Stefan 2 Le Hung, Bao V. 2 Liu, Tong 2 Ludwig, Judith 2 Majumdar, Dipramit 2 Mazur, Barry 2 McMurdy, Ken 2 Nicole, Marc-Hubert 2 Poonen, Bjorn 2 Ramsey, Nick 2 Ren, Rufei 2 Richarz, Timo 2 Rosso, Giovanni 2 Sarnak, Peter Clive 2 Schein, Michael M. 2 Scholbach, Jakob 2 Schraen, Benjamin 2 Shotton, Jack 2 Stroh, Benoît 2 Takahashi, Shuzo 2 Tang, Shiang 2 Tian, Yichao ...and 155 more Authors
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### Cited in 62 Serials

 25 Journal of Number Theory 19 Mathematische Annalen 19 Journal de Théorie des Nombres de Bordeaux 16 Inventiones Mathematicae 15 Duke Mathematical Journal 12 Compositio Mathematica 11 Annales de l’Institut Fourier 10 Transactions of the American Mathematical Society 9 Israel Journal of Mathematics 9 Journal für die Reine und Angewandte Mathematik 9 Journal of the Institute of Mathematics of Jussieu 7 Journal of the American Mathematical Society 7 International Journal of Number Theory 7 Algebra & Number Theory 6 Bulletin of the American Mathematical Society. New Series 6 Annals of Mathematics. Second Series 5 Manuscripta Mathematica 5 Proceedings of the American Mathematical Society 5 Documenta Mathematica 5 The Ramanujan Journal 5 LMS Journal of Computation and Mathematics 5 Forum of Mathematics, Pi 5 Research in Number Theory 4 Mathematische Zeitschrift 4 Memoirs of the American Mathematical Society 4 Experimental Mathematics 4 Selecta Mathematica. New Series 4 Journal of the European Mathematical Society (JEMS) 4 Forum of Mathematics, Sigma 4 Annales Mathématiques du Québec 3 Acta Arithmetica 3 Advances in Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Publications Mathématiques 3 Journal of Algebra 3 Journal of the Ramanujan Mathematical Society 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Mathematics of Computation 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Taiwanese Journal of Mathematics 2 Japanese Journal of Mathematics. 3rd Series 1 Acta Mathematica Vietnamica 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Functiones et Approximatio. Commentarii Mathematici 1 Glasgow Mathematical Journal 1 International Journal of Game Theory 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Nagoya Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Japan Academy. Series A 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti del Seminario Matematico della Università di Padova 1 Geometric and Functional Analysis. GAFA 1 Proceedings of the National Academy of Sciences of the United States of America 1 Journal of Mathematical Sciences (New York) 1 Finite Fields and their Applications 1 European Mathematical Society Newsletter 1 Algebras and Representation Theory 1 Acta Mathematica Sinica. English Series 1 Research in the Mathematical Sciences
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### Cited in 17 Fields

 294 Number theory (11-XX) 84 Algebraic geometry (14-XX) 34 Topological groups, Lie groups (22-XX) 7 Group theory and generalizations (20-XX) 6 Commutative algebra (13-XX) 4 Algebraic topology (55-XX) 2 Field theory and polynomials (12-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Wikidata Timeline

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