Peter Xu

UCLA Hedrick

CV

Articles/preprints:

• Classical periods of Eisenstein series and Bernoulli polynomials in the equivariant cohomology of a torus. Preprint, 2024. Accepted at Research in Number Theory (latest revision May 2025).
• Explicit formula for the (GL₂,GL₂) theta lift via Bruhat decomposition. Preprint, 2024. Submitted (latest revision June 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).
• Rigid analytic Eisenstein cocycles. (under revision) Joint with Martí Roset Julià.
• A note on cubical Bloch--Levine cycle complexes. Preprint, latest version June 2026.
• A note on polyhedral cones and toric polylogarithms. Preprint, latest version June 2026.
• Presenting restricted Steinberg modules of general linear groups. Preprint, latest version June 2026.
• Localization and motivic relations. Preprint, latest version July 2026.

In preparation:

• Integral elliptic Eisenstein cocycles.
• Integral CM elliptic Eisenstein cocycles and the Sharifi conjectures.
• Eisenstein cocycles for Drinfeld modular varieties. Joint with Romyar Sharifi.

Miscellany: some calculations illustrating duality of stabilized Dedekind sums

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