Welcome to Xiyuan's website!

About me

My name is Xiyuan Wang, a graduate student in the Johns Hopkins University. My advisor is David Savitt.

Email: xwang151 at jhu.edu

Research interest

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.

  • Hypergeometric motives.

  • Rational homotopy theory.

Publications and preprints

  • Irreducibility of geometric Galois representations and the Tate conjecture for a family of elliptic surfaces. (with Lian duan) Mathematical Research Letters (to appear). [arXiv]

  • Weight elimination in two dimensions when p=2. Submitted, 2017. [arXiv]

  • Integral Sullivan theory. (with Jonathan Scott and Donald Stanley) In preparation.

Invited talks

  • 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