Xuwen Zhu
I am an assistant professor at Department of Mathematics, Northeastern University. In Fall 2019 I was a Uhlenbeck Postdoctoral Fellow in MSRI Microlocal Analysis Program. Before that I was a postdoc at Stanford and UC Berkeley. I obtained my PhD from MIT in 2015 under the guidance of Richard Melrose.
Here is my CV.
My research is partially supported by NSF Grant DMS2041823
(DMS1905398 before transfer).
Research Interests:
Geometric analysis, microlocal analysis, partial differential equations, mathematical physics.
Research
Publications and Preprints:
 Spherical conical metrics and harmonic maps to spheres. Joint with Mikhail Karphukhin.
arXiv:2104.10304.
 Fundamental gaps of spherical triangles. Joint with Shoo Seto and Guofang Wei.
arXiv:2009.00229. Submitted.

Spectral properties of reducible conical metrics. Joint with Bin Xu.
To appear in Illinois Journal of Mathematics. Journal version

Conical metrics on Riemann surfaces, II: spherical metrics. Joint with Rafe Mazzeo.
To appear in International Mathematics Research Notices . Journal version
 Rigidity of a family of spherical conical metrics.
New York Journal of Mathematics 26 (2020) 272284. Journal version
 Spherical conic metrics and realizability of branched covers.
Proceedings of the AMS, Volume 147, Number 4, April 2019, Pages 1805–1815. Journal version
 Conical metrics on Riemann surfaces, I: the compactified configuration space and regularity. Joint with Rafe Mazzeo.
Geometry and Topology 24 (2020) 309–372. Journal version
 Boundary behaviour of WeilPetersson and fiber metrics for Riemann moduli spaces. Joint with Richard Melrose.
International Mathematics Research Notices, Volume 2019, Issue 16, Pages 5012–5065. Journal version
 Eleven dimension supergravity equations on edge manifolds.
Annales Henri Poincaré, Volume 19, Issue 8 (2018), 2347–2400. Journal version
 Eigenvalue resolution of selfadjoint matrices.
Pacific Journal of Mathematics, Vol. 288 (2017), No. 1, 241–255. Journal version
 Resolution of the canonical fiber metrics for a Lefschetz fibration. Joint with Richard Melrose.
Journal of Differential Geometry, Volume 108, Number 2 (2018), 295317. Journal version
 The eleven dimensional supergravity equations, resolutions and Lefschetz fiber metrics. PhD thesis
Talk Slides and Videos:
In Fall 2021 I am teaching:
 Math 1342 Calculus II Section 1
 Math 1342 Calculus II Section 5
Past teaching:
Teaching at Northeastern University:
Teaching at UC Berkeley:
Teaching at Stanford:
 Math 205C Graduate Real Analysis, lecturer, Spring 2018
 Math 171 Fundamental Concepts of Analysis, lecturer, Spring 2018
 MATH 131P Partial Differential Equations, lecturer, Winter 2017
 MATH 20 Introductory Calculus, lecturer, Winter 2017
 MATH 20 Introductory Calculus, lecturer, Winter 2016
 MATH 171 Fundamental Concepts of Analysis, lecturer, Fall 2016
 MATH 131P Partial Differential Equations, lecturer, Winter 2015
 MATH 175 Functional Analysis, lecturer, Fall 2015
 MATH 131P Partial Differential Equations, lecturer, Fall 2015
Teaching at MIT:
 18.089 Review of Mathematics, lecturer, Summer 2015
 18.06 Linear Algebra, recitation instructor and course administrator, Spring 2014
 18.01 Calculus, recitation instructor and course administrator, Fall 2013
 18.100C Real Analysis, course assistant, Spring 2013
 18.01A/02A Calculus, recitation instructor, Fall 2012