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