I am an associate professor in the mathematics department at Duke University. My specialty is number theory and in particular automorphic representation theory. Graduate students that I advise typically work on topics that involve some combination of the following:
- Generalizations of the Poisson summation formula conjectured by Braverman and Kazhdan, L. Lafforgue, Ngo and Sakellaridis
- Integral representations of L-functions
- Comparisons of trace formulae, both globally and locally
- Variants of the Hitchin fibration following Ngo
- Cycles on Shimura varieties
- Analytic number theory arising out of limits of trace formulae
- Representation theory of reductive groups over local fields
Recommended reading for everyone: On The Usefulness of Useless Knowledge
