Lie Theory/ Represention Theory Research Group

Lie theory originated from an attempt to use continuous groups of symmetries to study differential equations. The subject now plays an important role in many areas of mathematics, such as mathematical physics, number theory and geometry. Members of OSU math department study Lie theory as it relates to invariant theory, symmetries in systems of differential equations and automorphic forms. Several OSU researchers investigate the structure and invariants of representations of semisimple Lie groups through computational and geometric methods.

Faculty

Mahdi Asgari

Ph.D., Purdue, 2000. Number Theory, Automorphic Forms, and L-functions.
Leticia Barchini

Ph.D., 1987, U. Nac. de Cordoba, Argentina. Representation theory of semisimple Lie groups and analysis on homogeneous spaces.
Melissa Emory

Ph.D. University of Missouri, 2018.

Dr. Emory's research interests are automorphic forms and representations, number theory, and representation theory.
Maria Fox

Ph.D., Boston College, 2019; B.S., University of Texas, 2014.

Dr. Fox's research interests are in the field of number theory, specifically arithmetic geometry. She is interested in topics related to the geometry of Shimura varieties in characteristic p.
Anthony Kable

B.Sc. (Hon), Australian National University, 1986; M.Sc., Oxford University, 1989; Ph.D., Oklahoma State, 1997. Representation Theory, Number Theory, and Invariant Theory.
Edward Richmond

B.A., Colgate University; Ph.D., University of North Carolina, 2008. Dr. Richmond's mathematical interests include algebraic geometry, algebraic combinatorics, Lie theory and representation theory. He is currently interested in anything related to flag varieties and Schubert varieties.