Pavle Pandzic

Visiting Associate Professor of Mathematics

Web Site www.math.cornell.edu/~pandzic/ Contact Information Office:  580 Malott Hall Phone:  (607) 255-6400 Fax:  (607) 255-7149 Email:  pandzic@math.cornell.edu Courses & Office Hours

Education

Ph.D. (1995) University of Utah

Research Area: representation theory of reductive Lie groups and algebras

My main topic of interest is application of Dirac operators to the study of representations of reductive Lie groups and algebras, in particular the unitary ones. I am also interested in the geometric approach to representations, via D-modules on the flag varieties. This requires the study of some related topics from homological algebra as well as algebraic geometry.

Selected Publications

Dirac cohomology, unitary representations and a proof of a conjecture of Vogan (with J.-S. Huang), J. Amer. Math. Soc. 15 (2002), 185–202.

Dirac cohomology for Lie superalgebras (with J.-S. Huang), Transform. Groups 10 (2005), 201–209.

A simple proof of Bernstein-Lunts equivalence, Manuscripta Math. 118 no. 1 (2005), 71–84.

Dirac operators and Lie algebra cohomology (with J.-S. Huang and D. Renard), Representation Theory 10 (2006), 299–313.

Dirac operators in representation theory (with J.-S. Huang), Boston, USA, Birkhauser, 2006.

Zuckerman functors between equivariant derived categories, Trans. Amer. Math. Soc. 359 (2007), 2191–2220.

Last modified: September 18, 2007