Professor • Ph.D. MIT, 1985

Math 303

Number theory, arithmetic geometry, and space-time coding.

- Coates-Wiles towers in dimension two.
*Math. Ann.***282**(1988), 645-666. - On a generalization of a formula of Eisenstein.
*Proc. London Math. Soc*.**3**(1991), 121-132. - A formula for the number of elliptic curves with exceptional primes.
*Compositio Math*.**122**(2000), 151-164. - Geometric proofs of reciprocity laws.
*J. Reine Angew. Math.***586**, (2005) 91-124. - Duality theory for space-time codes over finite fields (with M. Varanasi).
*Preprint*.