The Department of Mathematics and Statistics has a vibrant group working in number theory and arithmetic geometry, with interests spanning various aspects of the Langlands program, Iwasawa theory, and Diophantine geometry. The group organizes the Number Theory Seminar.

Faculty:

  • Jennifer Balakrishnan: p-adic heights, p-adic integration, rational points on curves, and computation
  • Li-Mei Lim: automorphic forms, multiple Dirichlet series, L-functions
  • Robert Pollack: modular forms, Iwasawa theory, p-adic variation, and computational aspects
  • David Rohrlich: root numbers, self-dual motives, Artin representations, and arithmetic statistics
  • Glenn Stevens: p-adic variation of automorphic cohomology, Iwasawa Theory, and p-adic aspects of Hilbert’s twelfth problem
  • Jared Weinstein: arithmetic geometry, automorphic forms, representation theory

Visiting faculty:

  • Amnon Besser (2022-2023): arithmetic geometry, p-adic integration, p-adic cohomology, Shimura varieties, automorphic forms, algebraic cycles, algebraic K-theory

Postdocs:

  • Barinder Banwait: elliptic curves over number fields, isogenies, computational arithmetic geometry
  • Peter Gräf: p-adic families of modular forms, Drinfeld period domains, Drinfeld modular forms
  • Daniel Gulotta: p-adic geometry, Langlands program, Shimura varieties
  • Daniel Hast: arithmetic algebraic geometry and Diophantine geometry, with a focus on p-adic approaches to rational points on varieties
  • Anna Medvedovsky: mod-p and p-adic phenomena in modular forms, Hecke algebras, and Galois representations

PhD Students: