Peter Xu
peterx@math.ucla.edu
I am primarily interested in polylogarithms and Eisenstein cohomology, and their connections to motives, K-theory, and arithmetic generally: in particular, I like phenomena where combinatorial or geometric aspects of polylogarithms and related objects can be applied to understand concrete arithmetic information like L-values, cycles, or (especially) units. I also have an interest in the p-adic Kudla program, as well as connections between topology and arithmetic.
CV
Selected articles
- Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus. Preprint, 2024. Published in Research in Number Theory, latest revision May 2026.
- Symbols for toric Eisenstein cocycles and applications. Preprint, 2025. Submitted, latest revision December 2025.
- Eisenstein class of a torus bundle and log-rigid classes. Joint with Martí Roset Julià. Preprint, 2025. Submitted, latest revision December 2025.
- Localization and elliptic motivic relations. Preprint, 2026. Submitted, latest version July 2026.
- Geometric model for the integral cohomology of toric hypersurface arrangements. Preprint, latest version September 2026.
- Eisenstein cocycles for Drinfeld modular varieties. Preprint, joint with Romyar Sharifi. Latest version September 2026.
- Rigid analytic Eisenstein cocycles. Preprint, joint with Martí Roset Julià. Latest version September 2026.
Preprints that have not been submitted are preliminary versions, which may still need polish in some sections.
Miscellany
To help people find them - thanks to Don Blasius for letting me scan
Statement on AI