Peter Xu

UCLA Hedrick

CV

Articles/preprints:

• Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus. Preprint, 2024. Submitted.
• Explicit formula for the (GL₂,GL₂) theta lift via Bruhat decomposition. Preprint, 2024. Submitted.
• Symbols for toric Eisenstein cocycles and applications. Preprint, 2025. Submitted.
• Eisenstein class of a torus bundle and log-rigid classes. Joint with Martí Roset Julià. Preprint, 2025.
• Rigid analytic Dedekind-Rademacher cocycles and the Eisenstein theta lift. Joint with Martí Roset Julià. Preprint, 2025.

In preparation:

• Symbols for elliptic Eisenstein cocycles and the Sharifi conjectures.
• Eisenstein duality for Dedekind sums, cocycle comparisons, and Brumer--Stark unit formulas. Joint with Martí Roset Julià. (some calculations illustrating main idea in a simple case)
• Eisenstein cocycles for Drinfeld modular varieties. Joint with Romyar Sharifi.

To help people find them (thanks to Don Blasius for letting me scan):

• Higher regulators of modular curves by Beilinson
• Polylogarithm and cyclotomic elements by Beilinson