Jeffrey Hatley Head Shot

Jeffrey Hatley

Job Title
Assistant Professor of Mathematics
Bailey Hall 206A
Department/Program: Mathematics

Areas of interest

I work in number theory, a classical branch of mathematics which is primarily focused on understanding two things: the properties of prime numbers and solutions to polynomial equations. Using special geometric objects like elliptic curves and modular forms, for each prime number p we can construct p-adic Galois representations. Each of these Galois representations allows us to gain a little bit of information about all polynomial equations at once. I study various properties of these Galois representations. I’m especially interested in families of Galois representations which arise from geometric objects which are congruent mod p.

Academic Credentials

Ph.D., University of Massachusetts Amherst; M.S., University of Massachusetts Amherst; B.A., College of New Jersey