Lie Theory/Representation Theory
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.
Research Interests  

Mahdi Asgari Associate Professor 
Ph.D., Purdue, 2000. Number Theory, Automorphic Forms, and Lfunctions.  
Full Professor

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

B.S./M.S., U.C.L.A.; Ph.D., U.C.L.A., 1982. Interested in the representation theory of reductive groups and its various manifestions in theoretical physics (via quantization), combinatorics (via KahzdanLusztig theory), algebraic geometry (via associated varities), noncommutative algebra (via universal enveloping algebras), and computational mathematics (via the Atlas for Lie Groups program).  
Full Professor

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 Assistant Professor 
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. 

Full Professor 
B.S., Trinity College; Ph.D., Berkeley, 1985. His areas of research include the representation theory of reductive Lie groups and the geometry of homogeneous spaces. 