Toby Gee studies the interactions between p-adic Hodge theory and automorphic forms, in order to solve problems in number theory.
Together with his collaborators, he resolved the Buzzard-Diamond-Jarvis conjecture, the Sato-Tate conjecture for Hilbert modular forms, the Hasse-Weil conjecture for genus two curves, the Ramanujan conjecture for Bianchi modular forms, and the existence of cuspidal cohomology of GL_n. With Matthew Emerton he constructed the 'Emerton-Gee stack', which has transformed the study of p-adic Galois representations.
Toby has been recognized by a number of awards, including a London Mathematical Society Whitehead Prize, a Philip Leverhulme Prize, and a Royal Society Wolfson Research Merit Award.
Professional position
- Professor, Department of Mathematics, Imperial College London
Subject groups
-
Mathematics
Pure mathematics