Xuemiao Chen

Assistant Professor

Department of Pure Mathematics, University of Waterloo

200 University Avenue West

Waterloo, Ontario, N2L 3G1, Canada

Office: MC 5324

E-mail: x67chen@uwaterloo.ca

Here is my Curriculum Vitae

Teaching

Fall 2024, Math 135

MWF 1:30-2:20 pm, RCH 308

Office hours: Mon&Wed 10:30 am-11:30 am

Research

Complex algebraic and differential geometry

Gauge theory particularly on Yang-Mills connections

UWaterloo G&T seminar

Papers

On Vafa-Witten equations over Kähler manifolds
[J. Reine. Angew. Math. (2024)] [arXiv]

Admissible Hermitian-Yang-Mills connections over normal varieties
[arXiv]

A Donaldson-Uhlenbeck-Yau theorem for normal varieties and semistable bundles on degenerating families-with Richard Wentworth
[Math. Ann. (2023)] [arXiv]

Compactness for Ω-Yang-Mills connections-with Richard Wentworth
[Cal. Var. PDE (2022)] [arXiv]

The nonabelian Hodge correspondence for balanced hermitian metrics of Hodge-Riemann type-with Richard Wentworth
[Math. Res. Lett. (2024)] [arXiv]

Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones-with Song Sun
[Invent. Math. (2021)] [arXiv]

Algebraic tangent cones of reflexive sheaves-with Song Sun
[Int. Math. Res. Not. (2018)] [arXiv]

Analytic tangent cones of admissible Hermitian-Yang-Mills connections-with Song Sun
[Geometry & Topology (2021)] [arXiv]

Singularities of Hermitian-Yang-Mills connections and the Harder-Narasimhan-Seshadri filtration-with Song Sun
[Duke Math. J. (2020)] [arXiv]