On Serre's conjecture for mod ℓ Galois representations over totally real fields K Buzzard, F Diamond, F Jarvis Duke Mathematical Journal 155 (1), 105-161, 2010 | 200 | 2010 |

Eigenvarieties K Buzzard London Mathematical Society Lecture Note Series 1 (320), 59-120, 2007 | 190 | 2007 |

The conjectural connections between automorphic representations and Galois representations K Buzzard, T Gee Automorphic forms and Galois representations 1, 135-187, 2010 | 160 | 2010 |

The conjectural connections between automorphic representations and Galois representations K Buzzard, T Gee Automorphic forms and Galois representations 1, 135-187, 2010 | 160 | 2010 |

The conjectural connections between automorphic representations and Galois representations K Buzzard, T Gee Automorphic forms and Galois representations 1, 135-187, 2010 | 160 | 2010 |

Analytic continuation of overconvergent eigenforms K Buzzard Journal of the American Mathematical Society 16 (1), 29-55, 2003 | 119 | 2003 |

Integral models of certain Shimura curves K Buzzard Duke Mathematical Journal 87 (3), 591-612, 1997 | 108 | 1997 |

Companion forms and weight one forms K Buzzard, R Taylor Annals of Mathematics 149 (3), 905-919, 1999 | 101 | 1999 |

Companion forms and weight one forms K Buzzard, R Taylor Annals of Mathematics 149 (3), 905-919, 1999 | 101 | 1999 |

On icosahedral Artin representations K Buzzard, M Dickinson, N Shepherd-Barron, R Taylor Duke Mathematical Journal 109 (2), 283-318, 2001 | 79 | 2001 |

On *p*-adic Families of Automorphic FormsK Buzzard Modular curves and abelian varieties, 23-44, 2004 | 70 | 2004 |

Explicit reduction modulo p of certain two-dimensional crystalline representations K Buzzard, T Gee International Mathematics Research Notices 2009 (12), 2303-2317, 2009 | 57 | 2009 |

The 2-adic eigencurve at the boundary of weight space K Buzzard, LJP Kilford Compositio Mathematica 141 (3), 605-619, 2005 | 54 | 2005 |

Questions about slopes of modular forms K Buzzard Astérisque 298, 1-15, 2005 | 54 | 2005 |

Slopes of overconvergent 2-adic modular forms K Buzzard, F Calegari Compositio Mathematica 141 (3), 591-604, 2005 | 48 | 2005 |

On level-lowering for mod 2 representations K Buzzard Mathematical Research Letters 7 (1), 96-110, 2000 | 39 | 2000 |

A counterexample to the Gouvêa–Mazur conjecture K Buzzard, F Calegari Comptes Rendus Mathematique 338 (10), 751-753, 2004 | 35 | 2004 |

On the eigenvalues of the Hecke operatorT2 K Buzzard journal of number theory 57 (1), 130-132, 1996 | 34 | 1996 |

Formalising perfectoid spaces K Buzzard, J Commelin, P Massot Proceedings of the 9th ACM SIGPLAN International Conference on Certified …, 2020 | 33 | 2020 |

A mod five approach to modularity of icosahedral Galois representations K Buzzard, WA Stein Pacific journal of mathematics 203 (2), 265-282, 2002 | 32 | 2002 |