# Welcome to Xiyuan's website!

## About me

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

Email: wang.15476 at osu.edu

## Research interests

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 algebraic varieties.

Hypergeometric motives.

Rational homotopy theory.

## Publications and preprints

Warning: The papers posted on the arXiv may differ from the published versions! I will solve this problem in the future!

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.

*Mathematical Research Letters*(to appear). [arXiv]

In preparation

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

## Invited talks

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

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

Junior Colloquium, Johns Hopkins University. Nov. 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