Citation | Richard Taylor is the leading number-theorist of his generation in the world working on the arithmetic theory of automorphic forms. His finest achievement in research to date has been his proof of the existence of Galois representations attached to a wide class of automorphic forms for GL(2) of an imaginary quadratic field. As a corollary of this work, he has established, for the first time, the analytic continuation and functional equation of the Hasse-Weil L-series of certain elliptic curves, without complex multiplication, which are defined over an imaginary quadratic field. This work can be viewed as one of the major arithmetic achievements of the remarkable conjectures made by Langlands in the 1970's on the relationship between automorphic forms and the representations of Galois groups. |