Rebecca Torrey

Visiting Assistant Professor of Mathematics

Web Site Contact Information Office:  431 Malott Hall Phone:  (607) 255-6495 Fax:  (607) 255-7149 Email:  rtorrey@math.cornell.edu Courses & Office Hours

Education

Ph.D. (2009) King's College

Research Area: number theory

The Langlands Program, started in the late 1960s by Robert Langlands, is a system of powerful conjectures connecting number theory to the representation theory of certain groups. It incorporates an earlier construction of Shimura which associates Galois representations to modular forms. Serre's conjecture, first formulated by Jean-Pierre Serre in a 1987 article, provides a converse in characteristic p to Shimura's construction. Serre also gave a refinement of this conjecture, specifying the minimal weight and level of the associated modular form.

This conjecture, which is now a theorem, is the main focus of my research. In particular, I study the generalization of Serre's conjecture to imaginary quadratic fields. In this setting, much less is known, and the refined version of the conjecture is much more complicated.

Selected Publications

On Serre's conjecture over imaginary quadratic fields (in progress).

Last modified: September 11, 2009