On Serre's conjecture for mod Galois representations over totally real fields K Buzzard, F Diamond, F Jarvis | 220 | 2010 |

Eigenvarieties K Buzzard L-functions and Galois representations, 59-120, 2007 | 216 | 2007 |

The conjectural connections between automorphic representations and Galois representations K Buzzard, T Gee Automorphic forms and Galois representations 1, 135-187, 2014 | 203 | 2014 |

Analytic continuation of overconvergent eigenforms K Buzzard Journal of the American Mathematical Society 16 (1), 29-55, 2003 | 125 | 2003 |

Integral models of certain Shimura curves K Buzzard | 120 | 1997 |

Companion forms and weight one forms K Buzzard, R Taylor Annals of Mathematics 149 (3), 905-919, 1999 | 112 | 1999 |

On icosahedral Artin representations K Buzzard, M Dickinson, N Shepherd-Barron, R Taylor | 80 | 2001 |

Formalising perfectoid spaces K Buzzard, J Commelin, P Massot Proceedings of the 9th ACM SIGPLAN International Conference on Certified …, 2020 | 73 | 2020 |

On *p*-adic Families of Automorphic FormsK Buzzard Modular curves and abelian varieties, 23-44, 2004 | 73 | 2004 |

The 2-adic eigencurve at the boundary of weight space K Buzzard, LJP Kilford Compositio Mathematica 141 (3), 605-619, 2005 | 66 | 2005 |

Explicit reduction modulo p of certain two-dimensional crystalline representations K Buzzard, T Gee International Mathematics Research Notices 2009 (12), 2303-2317, 2009 | 63 | 2009 |

Questions about slopes of modular forms K Buzzard Astérisque 298, 1-15, 2005 | 59 | 2005 |

Slopes of overconvergent 2-adic modular forms K Buzzard, F Calegari Compositio Mathematica 141 (3), 591-604, 2005 | 50 | 2005 |

L-functions and Galois Representations D Burns, K Buzzard, J Nekovář (No Title), 2007 | 46 | 2007 |

On level-lowering for mod 2 representations K Buzzard Mathematical Research Letters 7 (1), 96-110, 2000 | 41 | 2000 |

A counterexample to the Gouvêa–Mazur conjecture K Buzzard, F Calegari Comptes rendus. Mathématique 338 (10), 751-753, 2004 | 40 | 2004 |

Stably uniform affinoids are sheafy K Buzzard, A Verberkmoes Journal für die reine und angewandte Mathematik (Crelles Journal) 2018 (740 …, 2018 | 33 | 2018 |

A mod five approach to modularity of icosahedral Galois representations K Buzzard, WA Stein Pacific journal of mathematics 203 (2), 265-282, 2002 | 33 | 2002 |

On the eigenvalues of the Hecke operatorT2 K Buzzard journal of number theory 57 (1), 130-132, 1996 | 33 | 1996 |

Computing weight one modular forms over C and Fp K Buzzard Computations with Modular Forms: Proceedings of a Summer School and …, 2011 | 30 | 2011 |