- Robert Langlands -
"Certainly the best times were when I was alone with mathematics, free of ambition and pretense, and indifferent to the world."
Weyl Law for self-dual representations
Using the twisted trace formula for GL(n), one can give a Weyl law for self-dual automorphic representations, which parameterize representations of classical groups. This is work in progress.
RESEARCH
Convergence of Twisted Trace Formula
I generalized the work of Finis-Lapid (and Muller) about the Arthur-Selberg trace formula to the twisted setting. This is mostly my thesis.
I am also working on some technical questions in my thesis that have been left unanswered for now; mainly the Root Cone Lemma. I spend some time thinking about these questions.
RESEARCH
INVITED TALKS
Midwest Representation Theory Conference
(in honor of Freydoon Shahidi's 70th birthday)
West Lafayette, IN
October 20-22, 2017
On the Langlands Program - Endoscopy and Beyond
(5-lecture mini-course on the trace formula)
NUS, Singapore
December 17-21, 2018
Purdue Automorphic Forms Seminar
West Lafayette, IN
September 7, 2017