Mathematics & Statistics

I study automorphic forms, which is a branch of number theory with ties to representation theory.  In particular, I study the special functions and exponential sums which occur in the Kuznetsov trace formula for groups other than GL(2).  These special functions are generalizations of the classical Bessel functions to many variables and they satisfy systems […]

Nigel Pitt is an analytic number theorist, interested in the overlap between the classical theory and the the theory of modular and automorphic forms.

Tyrone Crisp’s research interests lie at the interface between group representations and operator algebra theory. He studies representations of groups—particularly, real, p-adic and finite reductive groups—using techniques from functional analysis, algebra, and (sometimes, noncommutative) geometry.

Gil Moss‘s research is in algebraic number theory and representation theory. His area of focus is the Langlands program, which connects automorphic forms to Galois theory. He is particularly interested in the modular representation theory of reductive p-adic groups and the way congruences and deformations behave under the local Langlands correspondence. This often requires techniques […]

Franziska Peterson is an Assistant Professor of Mathematics Education. Her research centers on quantitative reasoning and mathematical literacy in interdisciplinary contexts. She is part of the education team on the recently funded NSF EPSCoR Track II grant (INSPIRES).

Jane Wang‘s research interests are in geometry and dynamical systems. She primarily studies translation surfaces and dilation surfaces, geometric structures that have connections to mathematical billiards, Riemann surfaces, and algebraic geometry. She is interested in problems relating to the dynamics on these surfaces and their moduli spaces. Some of the problems that she studies draw […]

Michael Rosbotham is interested in operator spaces and operator algebras.  Using methods of homological algebra, he investigates operator algebras via global properties in categories of operator space modules over the operator algebra.  Operator spaces are studied by examining their behaviour as modules over associated operator algebras.

Brandon Hanson works in number theory, combinatorics and analysis. He studies arithmetic equidistribution problems, which concerns counting and locating solutions to equations involving addition and multiplication.

Matthew Hernandez specializes in partial differential equations, with a focus on theoretical problems arising in the dynamics of bodies of fluids, gases, and plasma. He is especially interested in the possibility or impossibility of singularity formation along curves and surfaces defining their boundaries.

Maine Mathematician. Beryl Elizabeth Warner Williams (1914-1999), from Bangor, Maine, was the first Black student to graduate in mathematics from the University of Maine, in 1935. In 1940 she also obtained an MA in mathematics from UMaine.  She went on to teach math and English at Morgan State University where she became Dean of Continuing […]