Background
Ph.D., Mathematics, University of Chicago, 2004
B.A. Mathematics, University of Pennsylvania, 1998
Research
My main research interests
are in number theory,
p-adic analysis and representation theory.
Papers
"An Integral Formula of Shahidi", Cont. Math., Harmonic Analysis and Representations of Reductive p-adic Groups, vol.
543, American Mathematical Society.
"Residues of
Intertwining Operators for SO(6) as Character
Identities" (with Freydoon
Shahidi), Compositio Mathematica 146 (2010), no.3, 772-794.
"Stable Discrete Series
Characters at Singular Elements" , Canadian
Journal of Mathematics 61
(2009), no.6, 1375-1382.
"Residues of Intertwining
Operators for Classical Groups", International Mathematics
Research Notices (2008), article ID rnn 056, 37
pages.
"A p-adic
Approach to Local Analytic Dynamics: Analytic Conjugacy
of Analytic Maps Tangent to the Identity" (with Adrian Jenkins), Annales de la Faculte des
Sciences de Toulouse (2009), Vol. XVIII, no.3, 611-634.
"A
Homological Recipe for Pseudo-Anosovs" (with
Dan Margalit), Mathematical Research Letters 14
(2007), no.5, 853-863.
Preprints
"Stable Trace Formulas and
Discrete Series Multiplicities", submitted.
"Twisted Signs for p-adic Linear Groups" (with Alan Roche),
submitted.
"Lipeomorphic equivalence of p-adic
functions: a comparison between complex and p-adic
dynamics" (with Adrian Jenkins), submitted.
"Local
analytic conjugacy of resonant analytic maps in two
variables, in the non-archimedean setting"
(with Adrian Jenkins), preprint.
Other Writings
"Arthur's Trace Formula
for SO(5) and Individual Discrete Series Matrix
Coefficients" Thesis.
"Numbers and
Polynomials", notes from a course in Abstract Algebra. (Last Updated
1/11/09.)
"Shimura Varieties", old
notes from a class by Robert Kottwitz, cleaned up
by Brian Smithling.
