# Mark Reeder

## department of mathematics

## ProfessorPh.D. Ohio State University 1988 Email: reederma@bc.edu |

Lie groups are groups of continuous symmetries; they are classified similiarly to the

Platonic solids. Galois groups are the symmetries of the roots of polynomials. Representation

Theory is the study of the different ways particular symmetries manifest.

The Langlands Program investigates conjectural correspondences between infinite

dimensional representations of Lie groups and finite dimensional representations of

Galois groups. We seek new and explicit examples of this correspondence.

### Selected Publications

*Formal degrees and L-packets of unipotent discrete series representations of*, Crelle’s Journal 520, (2000), pp. 37-93.

exceptional p-adic groups*From Laplace to Langlands via representations of orthogonal groups,*

with B. Gross, Bull. Amer. Math Soc., 43 (2006), pp.163-205.*On the restriction of Deligne-Lusztig characters*, Jour. Amer. Math. Soc., 20, (2007), pp.573-602*Supercuspidal L-packets of positive depth and twisted Coxeter elements*,

Crelle’s Journal 620, (2008), pp. 1-33.*Depth-zero supercuspidal L-packets and their stability*,

with S. DeBacker, Annals of Math., 169, No. 3, (2009), pp. 795–901.