Welcome to Xiyuan's website!
I like to think about problems in number theory, algebraic geometry, and algebraic topology. Currently, I am working on projects related to the following topics.
Serre weight conjectures.
Arithmetic of surfaces.
Rational homotopy theory.
Publications and preprints
Weight elimination in two dimensions when p=2. Submitted, 2017. [arXiv]
Integral Sullivan theory. (with Jonathan Scott and Donald Stanley) In preparation.
Peking Online International Number Theory Seminar, Beijing University. May. 2020 [slide]
Algebra seminar, University of Pennsylvania. Feb. 2020
FRAGMENT seminar, Colorado State University. Nov. 2019