National University of Singapore. Applications of number theory to cryptography, coding theory and combinatorial designs.

Iowa State University. Modular forms for non-congruence subgroups; Modularity of elliptic and K3 surfaces; Arithmetic of Calabi-Yau varieties and applications.

University of Oxford. Algorithmic number theory, with an emphasis on problems related to multivariate polynomials over finite fields.

Hebrew University of Jerusalem. Automorphic forms, representation theory, trace formula.