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

• Skelet #17 and the fifth Busy Beaver number (2024)

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