About me

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I am a third-year Ph.D.  candidate in the department of mathematics at Duke University. My advisor is Jayce Getz.

My research interests lie in number theory, mainly in automorphic forms and L-functions. Specifically, I proved a generalization of the Poisson summation formula arising from conjectures of Braverman and Kazhdan, L. Lafforgue, Ngo and Sakellaridis. We hope to apply the summation formula to show/give insights to the analytic properties of higher rank triple product automorphic L-functions.

I’m also working on an application of A^1-homotopy theory to the count of plane conics meeting eight lines in P^3.

I am also interested in other topics in algebraic number theory and arithmetic geometry/topology, and I’m especially interested in their connections/applications to the Langlands program.

I received my Bachelor’s degree in 2018 in Mathematics and Music at University of British Columbia, where I worked on modular forms and multiplicative number theory under the supervision of Greg Martin.

Contact: pmgu@math.duke.edu