Professor Fred Diamond
Telephone: +44 020 7848 1068
Email: fred.diamond@kcl.ac.uk
Office: S4.21
Title: Professor in Number Theory
Biography
Professor Diamond received his B.A. from the University of Michigan in 1984, and his Ph.D. from Princeton University in 1988 under the supervision of Andrew Wiles.
His research is in number theory, focusing on representations of Galois groups and their relation to modular forms. Some of his work further developed the techniques introduced by Wiles and Taylor in the course of Wiles' proof of Fermat's Last Theorem.
In 1999, together with Breuil, Conrad and Taylor, he completed the proof of the Shimura-Taniyama-Weil conjecture stating that every elliptic curve over rational numbers can be associated to a modular form.
Professor Diamond taught at several universities in the US, including Columbia, MIT, Rutgers and Brandeis, before moving to King's in 2006. He was awarded a Centennial Fellowship by the American Mathematical Society in 1997 and has held visiting positions at the Institute for Advanced Study in Princeton and the IHES in Paris.
He is the author of numerous research and expository articles, as well as a textbook with Shurman on modular forms.
Research Interests
His main research interests are modular forms and Galois representations.
At the moment he is especially interested in mod p Langlands correspondencesand generalizations of Serre's conjecture.
Selection of Publications
On Serre's conjecture for mod l Galois representations over totally real fields [PDF] , (with K. Buzzard and F. Jarvis):
Extensions of rank one (φ,Γ)-modules and crystalline representations[PDF] , (with S. Chang, to appear in Composito Math.)