Publications

Mark Reeder


The recent ones can  be downloaded in pdf format.


 
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.
Represent. 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 (2004) Annals of Math., to appear

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
                to appear in Crelle's Journal

          29. Cyclotomic structures on root lattices
               

          30. Some very cuspidal generic representations,
          with Stephen DeBacker, submitted