Skip to main content

Kumar, Shrawan

Shrawan Kumar

J.R. & L.S. Parker Distinguished Professor
Chapman Hall 443

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


Malawsky Named Churchill Scholar

Malawsky Named Churchill Scholar

Daniel Malawsky, a UNC senior majoring in biostatistics and mathematics, is one of ... Hydrodynamic Spin

Hydrodynamic Spin

Macroscale analogues of microscopic spin systems offer direct insights into fundamental physical principles, thereby advancing our understanding of...