Chris Xu

You can find me at HSS 3073.
Email: chx007(at)(four letter school name)(dot)edu
Here is a photo of me at the Mordell conference (center-left, with the UCSD shirt). Here is another photo of me at the ANTS XVI conference the following week (center-right).

About me

As of Fall 2024, I am a 4th year graduate student at University of California San Diego. I work in algebraic number theory. Currently I have Kiran Kedlaya and Aaron Pollack as advisors. I expect to graduate in 2027.
Here is my CV.

What I'm thinking about

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

What I want to think about soon

• Model-free (geometric) quadratic Chabauty.
• Explicit motivic Chabauty-Kim (after D. Corwin, N. Kantor).
• Serre uniformity in the non-split Cartan case.
• p-adic Gross-Zagier formula in the non-split Cartan case.
• Modular forms and modular symbols on G₂.
• Dehn invariant 0 tetrahedra.

Papers

1. Period integrals on G₂, in progress
2. Chabauty on modular curves via the moduli interpretation (with Y. Huang, J. Lau, and I. Rendell), in progress
3. Skelet #17 and the fifth Busy Beaver number, preprint

Notes (TBA)

• Galois cohomology
• Spectral sequences
• Complex multiplication
• Chabauty-Kim

Teaching

• Fall 2024 (current): Math 104/105
• Summer 2024: Math 20E
• Spring 2024: 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

Federico Ardila's axioms

1. Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
2. Everyone can have joyful, meaningful, and empowering mathematical experiences.
3. Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
4. Every student deserves to be treated with dignity and respect.