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- 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.

Desiderata

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

Duke Number Theory Seminar

Durham, NC

September 27, 2017

AMS Special Session on Automorphic Forms

Buffalo, NY

September 16-17, 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

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