Some math, with more to come.
My thesis
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"Supercuspidal characters of $GL_\ell$, $\ell$ a prime"
( ps or
pdf file)
Some papers
- (with J. Haley) "Kac Diagrams for Elliptic Weyl Group Elements", 14 September,
2024 (pdf
file)
- "Totally Ramified Maximal Tori and Bruhat-Tits Theory (with
appendices by Ram Ekstrom and Mitya Boyarchenko, Stephen DeBacker, Anna Spice, Loren Spice, and Cheng-Chiang Tsai", 14 September,
2024 (pdf
file)
- "Parameterizing Conjugacy Classes of Unramified Tori via
Bruhat-Tits theory (with an appendix by Jeffrey D. Adler)", 14 September,
2024 (pdf
file)
- (with D. Kazhdan) "Murnaghan-Kirillov theory for depth zero supercuspidal
representations: reduction to Lusztig functions", Transform. Groups,
16 (2011), no. 3, pp. 737–766 (pdf
file)
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(with M. Reeder)
"On some generic very cuspidal representations", Compositio Math., 146 (2010), no. 4, pp. 1029–1055
(pdf
file)
- (with M. Reeder)
"Depth-zero supercuspidal L-packets and their stability", Ann. of Math., 169(2009), no. 3, pp. 795–901 (dvi, pdf, or ps file)
Publications (not refereed)
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(with D. Kazhdan)
"Stable distributions supported on the nilpotent cone for the group
G_2", The Unity of Mathematics; In Honor of the Ninetieth
Birthday of I.M. Gelfand (Pavel Etingof, Vladimir S Retakh, and
I.M. Singer editors), pp.~205--262, Progress in Mathematics, vol. 244,
Birkh\"auser Boston, Boston, 2006.
(pdf file)
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"Homogeneity for reductive p-adic groups: an introduction", Clay Mathematics Institute Summer School on Harmonic Analysis, The Trace Formula and Shimura Varieties, The Fields Institute for Research in Mathematical Sciences, 2003.
( ps or
pdf file)
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"Lectures on harmonic analysis for reductive $p$-adic groups", Representation Theory of Lie Groups, Institute of Mathematical Sciences, National University of Singapore, 2002.
( dvi or
pdf file)
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Review of "Integrales orbitales nilpotentes et endoscopie pour les groupes classiques non ramifies" by Jean-Loup Waldspurger, Math. Reviews, 2002h:22014, August 2002, pp. 5614-5616.
( dvi or
pdf file)
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"The Hales-Moy-Prasad conjecture for $SP_4$", Representations du groupe
$p$-adique $Sp_4$ (CIRM, Luminy, France, June 1998), edited by Paul J.
Sally, Jr., University of Chicago Lecture Notes in Representation Theory,
1999.
( ps or
pdf file)
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"Moy-Prasad filtrations and harmonic analysis: an example,"
AMS-IMS-SIAM
joint summer research conference: Representation theory of real and $p$-adic reductive groups (University of Washington, Seattle, WA, July 1997), Proceedings, 1997.
( ps or
pdf file)
Some notes on the representation theory of reductive p-adic groups
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By downloading
notes.pdf, you agree to send me all the mistakes you find.
Worksheets for IBL courses I have taught:
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