Jeffrey Hatley Head Shot

Jeffrey Hatley

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

Research interests

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.

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Academic credentials

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