Jonathan J. Zhu

I am an NSF Postdoc at Princeton University. For the 2018-2019 year I am also a visiting scholar at the Institute for Advanced Study. I completed my PhD at Harvard University, working under Prof. Bill Minicozzi and Prof. Shing-Tung Yau.

Research Interests: Differential Geometry and Geometric Analysis; particularly minimal surfaces and mean curvature flow.

Some papers:

  1. Existence of hypersurfaces with prescribed mean curvature I - Generic min-max. (with Xin Zhou) Preprint.
  2. Min-max theory for constant mean curvature hypersurfaces. (with Xin Zhou) Preprint.
  3. Moving-centre monotonicity formulae for minimal submanifolds and related equations. J. Funct. Anal., 274:1530-1552 (2018). Published version.
  4. First stability eigenvalue of singular minimal hypersurfaces in spheres. To appear in Calc. Var. Partial Differential Equations. Published version.
  5. On the entropy of closed hypersurfaces and singular self-shrinkers. To appear in J. Differential Geom.
  6. On the rigidity of mean convex self-shrinkers. (with Qiang Guang) To appear in Int. Math. Res. Not. IMRN. Published version.
  7. Rigidity and Curvature Estimates for Graphical Self-shrinkers. (with Qiang Guang) Calc. Var. Partial Differential Equations, 56:176 (2017). Published version.
  8. Minimal hypersurfaces with small first eigenvalue in manifolds of positive Ricci curvature, J. Topol. Anal., 9:505-532 (2017). Published version.

A list of my papers may also be found on the arXiv; additionally my Research page contains some brief descriptions.


Office: 320 Fine Hall
Email: jjzhu {at} math.princeton.edu