Math Department Faculty
Mark Reeder
Professor
Mark Reeder
Ph.D.
Contact
Maloney Hall 519
Telephone: 617-552-4543
Email: mark.reeder@bc.edu
Education
- Ph.D., The Ohio State University
Publications
- The Steinberg module and the cohomology of arithmetic groups, Journal of Algebra , vol 141, No. 2, (1991), pages 287-315.
- Modular symbols and the Steinberg representation, in Springer Lecture Notes 1447, pages 287-302
- Old forms on GL(n), American Journal of Mathematics, vol 113, No. 5, (1991), pages 911-930
- On certain Iwahori invariants in the unramified principal series, Pacific Journal of Mathematics, vol. 153, No. 2 (1992), p. 313-342
- p-adic Whittaker functions and vector bundles on flag manifolds, Compositio Mathematica, vol 85, (1993), pages 9-36
- Whittaker functions, prehomogeneous vector spaces and standard representations of p-adic groups, Crelles Journal, vol 450, (1994), p. 83-121
- On the Iwahori-spherical discrete series for p-adic Chevalley groups; formal degrees and L-packets, Ann. Sci. de l'Ec. Norm. Sup., vol 27, (1994), p. 463-491
- Desingularizations of some unstable orbit closures, Pacific Journal of Math., vol 167, (1995), pages 327-343
- On the cohomology of compact Lie groups, L'Enseignement Math., t. 41, (1995), pages 181-200
- (With Paul Goodey and Ralph Howard) Processes of flats induced by higher dimensional processes III, in Geometria Dedicata, vol 61, July(II) (1996), pages 257-269
- Hecke algebras and harmonic analysis on p-adic groups, American Journal of Math., vol 119, no.1 Feb. (1997), pages 225-249
- Exterior powers of the adjoint representation, Canadian Journal of Math., vol 49 (1), (1997), pages 133-159
- Whittaker models and unipotent representations of p-adic groups, in Mathematische Annalen, vol 308, (1997), pages 587-592
- Properties of discrete series unipotent L-packets, electronic proceedings of AMS conf. Representation theory of real and p-adic reductive groups, Seattle, (1997)
- Nonstandard intertwining operators and the structure of unramified principal series representations, Forum Math. vol 9, (1997) p. 457-516
- Zero weight spaces and the Springer correspondence, Indag. Math. N.S., 9 (3), (1998) pages 431-441
- (With Romuald Dabrowski) Kloosterman sets in reductive groups , Jour. Number Theory, vol 73, (1998) pages 228-255
- Small modules, nilpotent orbits and motives of reductive groups, Int. Math. Research Notices, no. 20, (1998) pages 1079-1101
- Formal degrees and L-packets of unipotent discrete series representations of exceptional p-adic groups, with an appendix by Frank Luebeck. Crelle's Journal, vol 520, (2000), pages 37-93 abstract.html appendix.pdf
- Matrices for Affine Hecke modules,
Journal of Algebra 231, (2000) 758-785 abstract.html - Euler Poincare pairings and elliptic representation theory of Weyl groups and p-adic groups, Compositio Math. 129 (2001), pages 149-181 abstract.html
- Isogenies of Hecke algebras and a Langlands correspondence for Ramified Principal Series Representations. Representation Theory 6 (2002), 101-126.
- Small representations and minuscule Richardson orbits,
Int. Math. Research Notices, 2002:5 (2002) pages 257-275 - Level-two structure of simply-laced Coxeter groups,
Journal of Algebra, 285 (2005) pages 29-57 - Depth-zero supercuspidal L-packets and their stability,
with Stephen DeBacker Annals of Math., 169, No.3, (2009), pages 795--901. - From Laplace to Langlands via representations of orthogonal groups,
with Benedict Gross, Bulletin of the AMS 43 (2006) pages 163-205 - On the restriction of Deligne-Lusztig characters,
Journal of the AMS, 20 (2007), pages 573-602 - Supercuspidal L-packets of positive depth and twisted Coxeter elements
Crelle's Journal, 620, (2008), pages 1-33. - Elliptic centralizers in Weyl groups and their coinvariant representations
Representation Theory, 15, (2011), pages 63-111. - Some very cuspidal generic representations,
with Stephen DeBacker, Compositio Math. 146 (2010), pages 1029-1055 - Torsion automorphisms of simple Lie algebras,
L'Enseignement Mathematique (2), 56, (2010), pages 3-47 - Arithmetic invariants of discrete Langlands parameters,
with B. Gross, Duke Math. Journal, 154, (2010), pages 431-508 - Gradings of positive rank on simple Lie algebras,
with B. Gross, P. Levy, and J.-K. Yu, Transformation Groups, 17, No. 4, (2012), pages 1123-1190
Correction - Epipelagic representations and invariant theory,
with J.-K. Yu, Journal of the AMS, 27 (2014), pages 437-477 - Some new supercuspidal representations,
to appear in proceedings of Howe's 70th birthday conference - Adjoint Swan conductors I: the essentially tame case,
Int. Math. Research Notices, 2017 doi: 10.1093/imrn/rnw301