Chris Xu

You can find me at HSS 3073.
My email is 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 Winter 2025, 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.


Papers

  1. Cohomology classes on G2 and their relations, in preparation
  2. Equationless linear Chabauty for modular curves (with Y. Huang and I. Rendell), in preparation
  3. Rigorous expansions of modular forms at CM points, II (with Y. Huang and I. Rendell), in preparation
  4. Rigorous expansions of modular forms at CM points, I: Denominators, submitted to LuCaNT
  5. Skelet #17 and the fifth Busy Beaver number, preprint
I have other "research papers" from my undergrad but they're not good. If you are interested you can find all of them on MIT's math website.

What I'm thinking about

Rational points on curves

Automorphic forms


What I'm learning about

Some of us number theorists at UCSD have made a Discord server for the purposes of organizing seminars each quarter. In particular to every bullet point below there is a corresponding seminar ongoing right now. Please email Shubhankar Sahai if you are UCSD affiliated and interested in joining the Discord.

Teaching

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.

Last updated: February 4th, 2025