I am a postdoctoral assistant professor at University of Michigan, where my mentor is Tasho Kaletha, and I’m also working with Kartik Prasanna. I received PhD degree in May 2023 from the department of mathematics at Duke University where my advisor is Jayce Getz. Before that, I received Bachelor’s degree in Mathematics and Music at University of British Columbia in 2018.
My research interests lie in number theory, mainly in automorphic forms, representations, and L-functions; arithmetic topology, and arithmetic geometry.
Specifically, my work lies in the following topics:
- Poisson summation formulae for spherical varieties arising from conjectures of Braverman and Kazhdan, L. Lafforgue, Ngo and Sakellaridis
- Application of Poisson summation formulae to triple-product Langlands L-functions
- Integral representation of L-functions; period integrals
- Arithmetic aspects of theta correspondence; special values of L-functions; Shimura varieties; algebraic cycles
- A^1 enumerative geometry; A^1-homotopy theory
- Integer conjugacy trace formula; orbital L-functions
- Automorphic representations and Kloosterman sheaves; epipelegic representaions
I’m also interested in the connection between mathematics and music.
Email: pmgu@umich.edu
Office: EH 4827