I am an NSF Postdoc at Princeton University, currently on leave at the Australian National University for 2020-2021. 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.
Selected papers:
- Łojasiewicz inequalities, uniqueness and rigidity for cylindrical self-shrinkers. Preprint.
- Mean convex mean curvature flow with free boundary. (with N. Edelen, R. Haslhofer and M. Ivaki) Preprint.
- Existence of hypersurfaces with prescribed mean curvature I - Generic min-max. (with Xin Zhou) Camb. J. Math. 8 (2020), no. 2, 331-362. Published version.
- Min-max theory for constant mean curvature hypersurfaces. (with Xin Zhou) Invent. Math. 218 (2019), no. 2, 441-490. Published version.
- On the entropy of closed hypersurfaces and singular self-shrinkers. J. Differential Geom. 114 (2020), no. 3, 551-593. Published version.
A list of all 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