Kumar, Shrawan
J.R. & L.S. Parker Distinguished Professor
Chapman Hall 443
919-962-9615
shrawan@email.unc.edu
Website
Research Interests
Representation theory
Professional Background
B.Sc. Gorakhpur University 1973; M.Sc. Bombay University 1975; Ph.D. Mathematics, Bombay University 1986, Thesis Adviser, S. Ramanan; Visiting Member, Tata Institute of Fundamental Research, Bombay, 1975-1976; Research Assistant, Tata Institute of Fundamental Research, 1976-1982; Research Associate, Tata Institute of Fundamental Research, 1982-1985; Postdoctoral Research Fellow, Mathematical Sciences Research Institute, Berkeley, 1983-1984; C.L.E. Massachusetts Institute of Technology, Cambridge, 1984-1985; Fellow, Tata Institute of Fundamental Research, 1985-1989; Member, The Institute for Advanced Study, Princeton, 1988-1989; Reader, Tata Institute of Fundamental Research, 1989-1992; Adjunct Professor, Tata Institute of Fundamental Research, 2006-present; Professor, University of North Carolina at Chapel Hill 1991-2010; John R. and Louise S. Parker Distinguished Professor, University of North Carolina at Chapel Hill, 2010-present
Research Synopsis
My main interests lie in Representation Theory of finite dimensional semisimple groups and their Kac-Moody analogs and the geometry and topology of their flag varieties. In addition, I have been interested in the moduli of semistable principal G-bundles over curves in its connection to Verlinde formula for the dimension of the space of conformal blocks and also the G-analog of the classical Hermitian eigenvalue problem, where G is any complex semisimple group.
Representative Publications
On Cachazo-Douglas-Seiberg-Witten Conjecture for Simple Lie Algebras
Shrawan Kumar,
Journal of the American Mathematical Society, 21, 797-808, 2008
Algebraization of Frobenius Splitting Via Quantum Groups
Shrawan Kumar and Peter Littelmann,
Annals of Mathematics, 155, 491-551, 2002
The Nil Hecke Ring and Singularity of Schubert Varieties
Shrawan Kumar,
Progress in Mathematics, 123, 471-506, 1996