# 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