Xuwen Zhu

Department of Mathematics

Northeastern University

Office:549 Lake Hall


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. I obtained my PhD from MIT in 2015.

Here is my CV.

My research is partially supported by NSF Grant DMS-2041823.

Research Interests:

Publications and Preprints:

  1. Fundamental gaps of spherical triangles. Joint with Shoo Seto and Guofang Wei.
    arXiv:2009.00229. Submitted.
  2. Spectral properties of reducible conical metrics. Joint with Bin Xu.
    arXiv: 1909.00546. To appear in Illinois Journal of Mathematics.
  3. Conical metrics on Riemann surfaces, II: spherical metrics. Joint with Rafe Mazzeo.
    arXiv: 1906.09720. To appear in International Mathematics Research Notices
  4. Rigidity of a family of spherical conical metrics.
    New York Journal of Mathematics 26 (2020) 272--284. Journal version
  5. Spherical conic metrics and realizability of branched covers.
    Proceedings of the AMS, Volume 147, Number 4, April 2019, Pages 1805–1815. Journal version
  6. 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
  7. Boundary behaviour of Weil-Petersson and fiber metrics for Riemann moduli spaces. Joint with Richard Melrose.
    International Mathematics Research Notices, Volume 2019, Issue 16, Pages 5012–5065. Journal version
  8. Eleven dimension supergravity equations on edge manifolds.
    Annales Henri Poincaré, Volume 19, Issue 8 (2018), 2347–2400. Journal version
  9. Eigenvalue resolution of self-adjoint matrices.
    Pacific Journal of Mathematics, Vol. 288 (2017), No. 1, 241–255. Journal version
  10. Resolution of the canonical fiber metrics for a Lefschetz fibration. Joint with Richard Melrose.
    Journal of Differential Geometry, Volume 108, Number 2 (2018), 295-317. Journal version
  11. The eleven dimensional supergravity equations, resolutions and Lefschetz fiber metrics. PhD thesis

Talk Slides and Videos:

Expository Works: