### I have moved. This webpage will no longer be updated.

# Dongxiao Yu

**Email:** yudx AT math.uni-bonn.de

**Office:** Endenicher Allee 60 Room 2.005

**Address:** Mathematisches Institut, Universität Bonn, Endenicher Allee 60, D-53115 Bonn, Germany

Starting from 2021 October, I am a math postdoc at Hausdorff Center for Mathematics, Mathematical Institute, University of Bonn, Germany. My postdoc mentor is Professor Herbert Koch. I am in the Analysis and PDE group.

In 2021 May, I obtained my PhD from University of California, Berkeley in Berkeley, CA, USA. My PhD advisor was Professor Daniel Tataru.

Here is my CV.

## Research

I am interested in PDE's, especially nonlinear wave and dispersive equations.

Here is a list of my papers.

- (with Herbert Koch)
*Asymptotic stability of the sine-Gordon kinks under perturbations in weighted Sobolev norms*. Preprint. arxiv:2308.07679. - Nontrivial global solutions to some quasilinear wave equations in three space dimensions. Preprint. arxiv:2204.12870.
- A uniqueness theorem for 3D semilinear wave equations satisfying the null condition. To appear in
*Pure Appl. Anal.*. arxiv:2109.15041. - Asymptotic completeness for a scalar quasilinear wave equation satisfying the weak null condition. To appear in
*Mem. Amer. Math. Soc.*. arxiv:2105.11573. - Modified wave operators for a scalar quasilinear wave equation satisfying the weak null condition.
*Comm. Math. Phys.*382 (2021), no. 3, 1961-2013. arxiv:2002.05355.

In addition, I have written a PhD dissertation with title "Modified scattering for a scalar quasilinear wave equation satisfying the weak null condition". This dissertation is a combination of arxiv:2002.05355 (with some weaker assumptions) and arxiv:2105.11573. Here is the link to my dissertation.

## Teaching

### U Bonn

In Summer Semester 2022, I taught V5B8 - Selected Topics in Analysis. The topic of this course is "The vector field method and quasilinear wave equations". Here is the course webpage.

### UC Berkeley

I have served as a teaching assistant for several undergraduate math courses (1A, 1B, 53, 55) and for a graduate math course (202B). A complete list of courses which I have taught can be found in my CV.

In 2020 Fall, I was a mentor in the Directed Reading Program.

## News

Bonn mathematics performs excellently again in QS ranking

Stefan Schwede is invited speaker at the ECM 2024 in Sevilla

Jessica Fintzen wins Cole Prize

Regula Krapf receives university teaching award

Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts

Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019

Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023

Grants for Mathematics students from Ukraine

Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society

Peter Scholze elected as Foreign Member of the Royal Society