Publications

Mark Reeder

Partially supported by NSF grant DMS-1303418

Published versions may differ slightly from the versions below


 
1.  The Steinberg module and the cohomology of arithmetic groups, Journal of Algebra , vol 141, No. 2, (1991), pages 287-315.

2.  Modular symbols and the Steinberg representation,  in  Springer Lecture Notes 1447, pages 287-302

3.  Old forms on GL(n),  American Journal of Mathematics, vol 113,  No. 5, (1991), pages 911-930

4.  On certain Iwahori invariants in the unramified principal series, Pacific Journal of Mathematics, vol. 153, No. 2  (1992), p. 313-342

5.  p-adic Whittaker functions and vector bundles on flag manifolds,  Compositio Mathematica, vol 85, (1993), pages 9-36

6.  Whittaker functions, prehomogeneous vector spaces and standard representations of p-adic groups, Crelles Journal, vol 450, (1994), p. 83-121

7.  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

8.   Desingularizations of some unstable orbit closures, Pacific Journal of Math.,  vol 167, (1995), pages 327-343

9.   On the cohomology of compact Lie groups, L'Enseignement Math., t. 41, (1995), pages 181-200

10. (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

11. Hecke algebras and harmonic analysis on p-adic groups, American Journal of Math., vol 119, no.1 Feb. (1997), pages 225-249

12. Exterior powers of the adjoint representation, Canadian Journal of Math., vol 49 (1), (1997), pages 133-159

13. Whittaker models and unipotent representations of p-adic groups, in Mathematische Annalen, vol 308, (1997), pages 587-592

14. Properties of discrete series unipotent L-packets, electronic proceedings of AMS conf. Representation theory of real and p-adic reductive groups, Seattle, (1997)

15. Nonstandard intertwining operators and the structure of unramified principal series representations, Forum Math. vol 9, (1997) p. 457-516

16. Zero weight spaces and the Springer correspondence, Indag. Math. N.S., 9 (3), (1998) pages 431-441

17. (With Romuald Dabrowski) Kloosterman sets in reductive groups , Jour. Number Theory, vol 73, (1998) pages 228-255

18. Small modules, nilpotent orbits and motives of reductive groups,  Int. Math. Research Notices,  no. 20, (1998) pages 1079-1101

19. 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

20. Matrices for Affine Hecke modules,
Journal of Algebra 231,  (2000)    758-785  abstract.html

21. Euler Poincare pairings and elliptic representation theory of Weyl groups and p-adic groups,      Compositio Math. 129 (2001), pages 149-181   abstract.html

22. Isogenies of Hecke algebras and a Langlands correspondence for Ramified Principal Series Representations. Representation Theory 6 (2002), 101-126.

23. Small representations and minuscule Richardson orbits,
     Int. Math. Research Notices,  2002:5 (2002)  pages 257-275

24. Level-two structure of simply-laced Coxeter groups,
     Journal of Algebra, 285 (2005) pages 29-57

25. Depth-zero supercuspidal L-packets and their stability,
     with Stephen DeBacker Annals of Math., 169, No.3, (2009),  pages 795--901.

26. From Laplace to Langlands via representations of orthogonal groups,
     with Benedict Gross, Bulletin of the AMS  43 (2006) pages 163-205

27. On the restriction of Deligne-Lusztig characters,
     Journal of the AMS, 20 (2007), pages 573-602

28. Supercuspidal L-packets of positive depth and twisted Coxeter elements
      Crelle's Journal, 620,  (2008),  pages 1-33.

29. Elliptic centralizers in Weyl groups and their coinvariant representations
      Representation Theory, 15, (2011), pages 63-111.

30. Some very cuspidal generic representations,
     with Stephen DeBacker, Compositio Math. 146 (2010), pages 1029-1055

31. Torsion automorphisms of simple Lie algebras,
      L'Enseignement Mathematique (2), 56, (2010), pages 3-47

32. Arithmetic invariants of discrete Langlands parameters,
     with B. Gross,   Duke Math. Journal, 154, (2010), pages 431-508

33. 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

34. Epipelagic representations and invariant theory,
      with J.-K. Yu, Journal of the AMS, 27 (2014), pages 437-477