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 L-functions. http://math.okstate.edu/people/asgari
Leticia Barchini Professor		Ph.D., 1987, U. Nac. de Cordoba, Argentina. Representation theory of semisimple Lie groups and analysis on homogeneous spaces.
Birne Binegar 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 Kahzdan-Lusztig theory), algebraic geometry (via associated varities), non-commutative algebra (via universal enveloping algebras), and computational mathematics (via the Atlas for Lie Groups program). http://math.okstate.edu/people/binegar
Anthony Kable 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 Associate 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. http://math.okstate.edu/people/erichmond/index.html
Roger Zierau 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. http://math.okstate.edu/people/zierau

Research Interests

Mahdi Asgari

Associate Professor

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

http://math.okstate.edu/people/asgari

Leticia Barchini

Professor

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

Birne Binegar

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 Kahzdan-Lusztig theory), algebraic geometry (via associated varities), non-commutative algebra (via universal enveloping algebras), and computational mathematics (via the Atlas for Lie Groups program).

http://math.okstate.edu/people/binegar

Anthony Kable

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

Associate 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.

http://math.okstate.edu/people/erichmond/index.html

Roger Zierau

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.

http://math.okstate.edu/people/zierau