Herve M. Jacquet

Adrain Professor Emeritus of Mathematics. One of the founders of the theory of automorphic forms and their associated L-functions, which plays a central role in modern number theory. In collaboration with Langlands, presented a representation theory of automorphic forms and their associated L-functions for the general linear group GL(2) establishing among other things the Jacquet-Langlands correspondence which explains very precisely how automorphic forms for GL(2) relate to those for quaternion algebras. With Godement, defined for the first time the standard L-functions attached to automorphic representations of GL(n), now called Godement-Jacquet L-functions, and proved their basic, oft-used analytic properties. With Piatetski-Shapiro and Shalika, established the definition and properties of the Rankin-Selberg product L-functions for GL(n) leading to the classification of automorphic forms on GL(n) and converse theorems, and subsequently developed the relative trace formula. His contributions to mathematics make up important parts of the Langlands program which connects number theory and representation theory.