Yujie's Personal Homepage
My name is Yujie Wu. My contact information is here.
Starting fall 2024, I am a fifth year graduate student in the math department at Stanford University. My advisor is Otis Chodosh.
I am applying for postdoc positions starting in fall 2025.
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
Master Thesis
“Construction of Harmonic Maps by MinMax Methods.” Download. Advisor: Tristan Rivière.
Talks
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.