My background is in algebraic number theory, although recently I have started to work in the area of formal proof verification.
My personal website is
and my blog on teaching formal proof methods to undergraduates is
Buzzard K, Gee T, 2014, The conjectural connections between automorphic representations and Galois representations, Automorphic Forms and Galois Representations, Vol 1, Vol:414, ISSN:0076-0552, Pages:135-187
Buzzard K, Diamond F, Jarvis F, 2010, ON SERRE'S CONJECTURE FOR MOD l GALOIS REPRESENTATIONS OVER TOTALLY REAL FIELDS, Duke Mathematical Journal, Vol:155, ISSN:0012-7094, Pages:105-161
Buzzard K, Gee T, 2009, Explicit Reduction Modulo p of Certain Two-Dimensional Crystalline Representations, International Mathematics Research Notices, ISSN:1073-7928, Pages:2303-2317
Buzzard KM, 2007, Eigenvarieties, L-Functions and Galois Representations, Editor(s): Burns, Buzzard, Nekovar, Cambridge University Press, Pages:59-120, ISBN:9780521694155
Buzzard K, 2011, Computing weight one modular forms over $\C$ and $\Fpbar$, Computations with Modular Forms 2011