Bogaziçi University. Small gaps between consecutive primes.

Hong Kong University of Science and Technology. Transcendental number theory, diophantine approximation.

Queen's University, Kingston. Arithmetic algebraic geometry.

Academia Sinica, Taiwan. Number theory, Arithmetical algebraic geometry. Arithmetic of function fields, transcendence theory. Symbolic computation.

Osaka University. Class groups, Construction of class fields, Fundamental units, Elliptic curves, Abelian varieties, Jacobians, Automorphic forms, Zeta functions.

Columbia University. Shimura varieties; Dieudonne modules and p-divisible groups.

SUNY at Stony Brook. Number theory, representation theory, and arithmetic geometry: especially L-functions, Eisenstein series, theta series, Shimura varieties, intersection theory, and elliptic curves.