# 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

Automorphic Forms and Representation Theory Seminar, Purdue University. Jan. 2021

Junior Number Theory Days, Johns Hopkins University. Dec. 2020

Colloquium, Capital Normal University. Nov. 2020

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