Research

I am interested in automorphic forms and L-functions. My research topics include: the Fourier coefficients of automorphic forms on exceptional groups and their arithmetic properties; Algebraicity results for special values of L-functions; and differential operators.

Publications and Preprints

Exceptional Maass-Shimura Operators for SU(2,1) in G₂
preprint [pdf]
Modulation Groups, with , , , , Aaron Slipper, Marie-Hélène Tomé, Guodong Xi, , and Alan Zhao
preprint [pdf, arxiv]
Mod p Iwasawa Algebras of Pro-p Iwahori Subgroups, with Rudy Ariaz, , , , Bharatha Rankothge, and
preprint [pdf, arxiv]

Works in Progress

Algebraicity of Eisenstein Series on Exceptional Groups and Deligne's Conjecture for G₂, with , , , and
in preparation

Talks

Here are some materials from recent presentations:

(Upcoming), Tora XV, April 2026
Arithmeticity of L-functions for Quaternionic Groups, University of Arizona Algebra and Number Theory Seminar, October 2025 [slides]
Lightning Talk, Southern California Number Theory Day, October 2025 [slides]
Lightning Talk, Aarhus Automorphic Forms, August 2025 [slides and recording (on conference website)]

Teaching

In Fall 2024 I was the Instructor of Record for Math 18 (Linear Algebra) at UCSD
I have mentored students in subjects including Elliptic Curves, Quaternion Algebras, Class Field Theory, and Algebraic Number Theory through the Directed Reading Program at UCSD
In 2023, I was a mentor for "A Math Summer Program for High School Students" at UCSD
In 2021, I was a TA for the Number Theory 2 and Abstract Algebra 1 classes in the Awesome Math Summer Program
In 2020-2021, I was a TA for the Markov Chains and Complex Analysis 1 classes at Euler Circle
When I was an undergraduate, I was an assistant instructor for the Olga Radko Endowed Math Circle at UCLA

Other

Thank you to Simran Khunger for letting me use her website design!

Bryan Hu