# Chris Xu

You can find me at HSS 3073 (UCSD).

Email: chx007(at)(school name)(dot)edu

## About me

I am a 3rd year graduate student at UCSD, working under Kiran Kedlaya and Aaron Pollack. I expect to graduate in 2027. I work in arithmetic geometry and the Langlands program, with a particular bent towards explicit computation.

Here is my CV.

## What I'm thinking about

- Model-free Chabauty-Coleman for modular curves.
- "Special cycles" on G2.

## What I'd like to think about in the future

- Model-free (maybe even model-free geometric) quadratic Chabauty.
- Explicit motivic Chabauty-Kim (after D. Corwin).
- Explicit motivic Chabauty-Kim via Selmer stacks (after N. Kantor).
- Serre uniformity in the non-split Cartan case.
- Computational methods for automorphic forms.
- Computational methods for Galois representations.
- Analytic stacks.

## Preprints

## Teaching

- Spring 2024 (current): Math 20E
- Winter 2024: Math 20D
- Fall 2023: Math 20E
- Spring 2023: Math 20E
- Winter 2023: Math 20C
- Fall 2022: Math 20B
- Spring 2022: Math 106
- Winter 2022: Math 20C
- Fall 2021: Math 20B