Mathematics & Statistics

Ravki’s research broadly lies in algebraic number theory, arithmetic geometry and algebraic geometry, from both theoretical and computational perspectives. Her recent work involves studying Galois representations associated to elliptic curves and exploring their relationship to isogenies of elliptic curves.

Maine Mathematician. Marston Morse (1892-1977), from Waterville, Maine, was a pioneer in Differential Topology. He spent most of his career as a professor at the Institute for Advanced Study in Princeton, upstairs from Albert Einstein. His tremendously influential life’s work is a body of knowledge known as Morse Theory.  For some insight into his childhood in […]

David Hiebeler is an applied mathematician who directs the SPEED Lab, a research group focusing on computational and mathematical models of populations spread across landscapes.  His models have given insight into the spread of pests in Maine’s agricultural industry, and the spread of malicious software on the internet.

Andrew Knightly is a number theorist specializing in modular forms and representation theory. Much of his work centers on the development of trace formula identities involving the L-functions and Satake parameters of automorphic forms. He joined the department in 2004.

Eisso Atzema specializes in history of mathematics and classical geometry. His focus is mostly on the history of 19th-century geometry and the history of teaching of mathematics (particularly in the United States). He has long had a special interest in the study of quadrilaterals (in all its aspects).

David Bradley’s research focus is classical analysis and special functions, with applications to other branches of mathematics including number theory, combinatorics, difference-differential equations, and statistics. Bradley’s work is known in several countries; he has published over 40 refereed articles and given more than 50 invited lectures on his research.  A classically trained pianist through the Toronto Conservatory (former lifetime) and self-taught 5-ball […]

Natasha Speer is a specialist in Mathematics Education. Her research focus is on collegiate mathematics education.  She also studies mathematics graduate student professional development, relationships among teachers’ beliefs, knowledge, and instructional practices, and mathematics teacher practice, development, and change.

Peter Stechlinski is an applied mathematician broadly interested in dynamic modeling and simulation problems. His research is primarily concerned with hybrid dynamical systems, which display a mixture of continuous and discrete behavior and have become widely applied tools in a number of fields. His research finds overlap in control and optimization theory, nonsmooth analysis, mathematical biology (e.g. infectious diseases) […]

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 […]

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.