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# Dan Mihai Barbasch

Professor

## Overview

### Research Focus

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.

### Departments/Programs

- Mathematics

### Graduate Fields

- Mathematics

## Publications

*Unitary spherical spectrum for split classical p-adic groups,* Acta Applicandae Mathematicae **44** (1996).

*Local Character Expansions* (with A. Moy), Ann. Sci. de L'Ecole Norm. Sup. (1997).

*The Associated Variety of an Induced Representation* (with M. Bozicevic), Proc. AMS (1998).

*The spherical dual for p-adic groups* (with A. Moy), Proc. of Conf. in Cordoba, Argentina.

*The Associated Variety of Unipotent Representations*, preprint.