I am a postdoctoral assistant professor at University of Michigan, where my mentor is Tasho Kaletha. 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 current research travels are partially supported by my AMS-Simons Travel Grant.
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 automorphic L-functions
- Integral representation of L-functions; period integrals
- Arithmetic aspects of period integrals; special values of L-functions
- A^1 enumerative geometry; A^1-homotopy theory
- Integer conjugacy trace formula; orbital L-functions
- Automorphic representations and Kloosterman sheaves; epipelegic representaions
- The connection between Kloosterman sheaves and Bessel functions
I’m also interested in the connection between mathematics and music.
Email: [email protected]
Office: EH 4827