Yujie's Personal Homepage
My name is Yujie Wu. My contact information is here.
I am a postdoc researcher at the University of Potsdam from fall 2025 to summer 2026, sponsored by the ERC project Comparison and rigidity for scalar curvature “COMSCAL” of Rudolf Zeidler.
Starting fall 2026, I will be a postdoc researcher at Carnegie Mellon University, mentored by Robin Neumayer.
I was a graduate student in the math department at Stanford University from Sep 2020 to June 2025. My advisor is Otis Chodosh.
My research area is Differential Geometry, Analysis and PDEs. In particular, I am interested in minimal (hyper)surfaces; I have recently worked on projects that study how the ambient manifolds’ geometry (in particular their curvature assumptions) influence the topology and geometry of their immersed and embedded stable minimal (hyper)surfaces. I am also thinking about the Allen-Cahn equation and their relations to minimal surface theory.
You can find me on arxiv, Google Scholar and ORCiD.
Papers
- Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds. https://arxiv.org/abs/2504.20585
- Capillary surfaces in manifolds with nonnegative scalar curvature and strictly mean convex boundary. International Mathematics Research Notices, Volume 2025, Issue 9, May 2025 Journal Link
- Free Boundary Stable Minimal Hypersurfaces in Positively Curved 4-Manifolds. https://arxiv.org/abs/2308.08103
Disssertation
“Capillary Hypersurfaces and Variational Methods in Positively Curved Manifolds with Boundary.” Download. Advisor: Otis Chodosh
Master Thesis
“Construction of Harmonic Maps by MinMax Methods.” Download. Advisor: Tristan Rivière.
Talks
Capillary Hypersurfaces and Variational Methods Slides.
- Geometry Seminar, University of Potsdam, [Jun 2025]
- Workshop on Curvature and Global Shape, Universität Münster, Mathematisches Institut, [Aug 2025]
From $\mu$-bubble to $\theta$-bubble: Geometry of Mean Convex Manifolds with NNSC
- Geometry Seminar, Rice University. [Mar 2025]
- Differential Geometry Seminar, UC Berkeley. [Mar 2025]
- Geometric Analysis Seminar, University of Chicago. [Feb 2025]
- Geometry and Topology Seminar, University of Wisconsin-Madison. [Feb 2025]
Capillary surfaces in manifolds with nonnegative scalar curvature and strictly mean convex boundary
- Convergence Or Scalar Curvature Seminar (COSC), Online. [Dec 2024]
- YMSC-BJTU Geometry Seminar, Online, Tsinghua University. [Nov 2024]
- Geometric Analysis Seminar, Online, BICMR, Peking University. [Oct 2024]
Free boundary stable minimal hypersurfaces in positively curved 4-manifolds:
- Geometry and Analysis Seminar, University of California, Santa Cruz. [Nov 2023]
Teaching
Teaching Assistant, Stanford University
Guide to Stanford introductory math courses.
- Math 51: Linear Algebra, Multivariable Calculus, and Modern Applications [Winter 2022, Fall 2022, Winter 2023]
- Math 52: Integral Calculus of Several Variables [Winter 2024]
- Math 21: Calculus [Fall 2024]
Course Assistant, Stanford University
- Math 104: Applied Matrix Theory [Summer 2021, Winter 2025]
- Math 173: Theory of Partial Differential Equations [Spring 2022]
- Math 205A: Real Analysis [Fall 2023]
Course Assistant, ETH Zurich
- Algebra I: Groups, Rings and Fields [Autumn 2018]
- Algebra II: Galois Theory and Applications [Spring 2019]
- Probability and Statistics [Spring 2020]
Others
- Stanford Geometry Seminar (link).
- Stanford Student Analysis Seminar (link).
- Stanford Women in Math Mentoring ( SWIMM 2024 Fall is here. Past events).
SWIMM is a mentoring program pairing undergraduates interested in math and computational science with graduate student mentors from math, statistics, and ICME. We also host events, including study halls, dinners, and talks.