Dan M. Barbasch

Professor of Mathematics

543 Malott Hall

barbasch@math.cornell.edu

Ph.D. (1976) University of Illinois

Research Area

Representation theory of reductive Lie groups

My research is in the field of representation theory of reductive Lie groups. I am particularly interested in the classification of the unitary dual for groups over local fields, and its relation to the orbit structure of the Lie algebra. Furthermore I am interested in the relation of these representations to problems arising from number theory, more precisely automorphic forms.

Selected Publications

Dirac index and twisted characters (with P. Pandzic and P. Trapa), arxiv.org/pdf/1606.05425.pdf, preprint.

Dirac cohomology for graded affine Hecke algebras (with D.Ciubotaru and P. Trapa), Acta Math. 209 (2012), no. 2, 197-227.

Spherical unitary dual for split real and p-adic groups, J. of the Mathematical Institute Jussieu, vol 9 (2010), issue 02, 265-356.

Reduction to real infinitesimal character in affine Hecke algebras (with A. Moy), Journal of the AMS 6 no. 3 (1993), 611-635.

The Langlands classification and irreducible characters (with J. Adams and D. Vogan), Birkhauser (1992), Boston-Basel-Berlin.

Unipotent representations for real reductive groups, Proceedings of ICM, Kyoto 1990 (1990), Springer-Verlag, Math. Soc. of Japan, 769-777.

The unitary dual of complex classical groups, Inv. Math. 96 (1989), 103-176.

Unipotent representations of complex classical groups (with D. Vogan), Ann. Math. 121 (1985), 41-110.