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College of Arts and Sciences

Mark Reeder

department of mathematics

mark reeder image

Professor

Ph.D. Ohio State University 1988
B.A. Humboldt State University 1982

Email: reederma@bc.edu
Webpage: http://www2.bc.edu/~reederma/

 

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
    exceptional p-adic groups
    , Crelle’s Journal 520, (2000), pp. 37-93.
  • 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.