My motto: a thousand years from now all of us would probably appear rather ridiculous.
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About
About
I'm obtaining my Ph.D. degree in January 2026 from Princeton.
Email
Email
zhenhual at princeton dot edu
Education
Education
2016-2019 Duke University, B.A.
Advisors: Professor William Allard, Professor Hubert Bray, and Professor Robert Bryant,
2019-current Princeton University, Ph.D.
Advisor: Professor Camillo De Lellis.
Mathematical references: all my advisors, Professor Simon Brendle, Professor Frank Morgan, Professor Leon Simon
Photo to the left: a snub dodecahedron on top of my head inside a truncated icosidodecahedron
Selected works
Selected works
Every finite graph arises as the singular set of a compact 3-d calibrated area minimizing surface, Comm. Pure Appl. Math. 77 (2024), no. 9, 3670–3707., preprint available at https://arxiv.org/abs/2106.03199
On a conjecture of Almgren: area-minimizing surfaces with fractal singularities, to appear in Annals of Mathematics, preprint available at https://arxiv.org/abs/2110.13137
Area-minimizing submanifolds are not generically smooth, to appear in Duke Mathematical Journal, preprint available at https://arxiv.org/abs/2206.08315
Ph.D. dissertation, The Hasse Principle for Geometric Variational Problems: An Illustration via Area-minimizing Submanifolds, preprint available at https://arxiv.org/abs/2508.21045
P.S. There is some other research work available on arxiv: https://arxiv.org/a/liu_z_17.html.
Seminar talks
Seminar talks
Caltech Geometry & Topology Seminar, January 2026
University of Chicago - Geometric Analysis Seminar, January 2026
MIT Geometric Analysis Seminar, April 2025
Brown University Geometric Analysis, April 2025
NC State Geometric Analysis Seminar, September 2024
Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics, May 2024
Columbia University Analysis Seminar, March 2024
University of Pennsylvania Geometry Seminar, February 2024
Lehigh University Geometric Analysis Seminar, January 2024
University of Maryland Geometric Analysis Seminar, January 2024
Stanford Geometric Analysis Seminar, January 2024
Cornell Analysis Seminar, January 2024
Yau Mathematical Sciences Center, January 2024
The UC-Berkeley Differential Geometry Seminar, May 2023
Caltech Geometry & Topology Seminar, April 2023
University of Chicago - Geometric Analysis Seminar, October 2022
UMN PDE seminar, January 2022
Geometric Analysis and Topology Seminar, NYU Courant, January 2022
Simons Collaboration on Special Holonomy in Geometry, Analysis, and Physics, September 2021
Fellowships
Fellowships
Centennial Fellowship, Princeton, 2019-current
My proudest achievement
My proudest achievement
I've been fortunate enough to have raised a question in topology that gets answered in a manuscript by the leading experts on this topic, Diarmuid Crowley and Mark Grant.
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