Wei Wang, Ph.D. Candidate

Theoretical Mathematics

Peking University
Research in Geometric Variational Problems and Partial Differential Equations

About Me

My name is Wei Wang (王尉). I am currently a four-year Ph.D. candidate in Theoretical Mathematics under the supervision of Prof. Zhifei Zhang at the School of Mathematical Sciences, Peking University.

Previously, I obtained my Bachelor's degree in Mathematics and Applied Mathematics from the School of Mathematical Sciences at Zhejiang University in 2022, advised by Prof. Ting Zhang.

View my full CV (Last updated: Aug. 5, 2025).

Academic Profiles: Google Scholar | MathSciNet | ORCID | ResearchGate | zbMATH

Contact Information

Office Location

Room 314, 20th Building
Peking University
No. 5 Yiheyuan Road, Haidian District
Beijing, 100871, P. R. China

Email

gjmtamag [at] gmail [dot] com
2201110024 [at] stu [dot] pku [dot] edu [dot] cn

Analysis Seminars

I co-organize long-term analysis seminars at Peking University, focusing on partial differential equations and geometric measure theory.

Research

Research Interests

  • Research areas: Geometric variational problems, elliptic equations, parabolic equations
  • Selected topics: Homogenization theory, semilinear elliptic and parabolic equations, harmonic maps, liquid crystal theory, nonlocal Laplacian operators

Published Papers

  1. On the sharp constants in the regional fractional Sobolev inequalities
    Rupert L. Frank, Tianling Jin, Wei Wang
    Partial Differential Equations and Applications, 6 (2025), 1-20
    [arXiv] | [journal]
  2. Uniform estimates of resolvents in homogenization theory of elliptic systems
    Wei Wang
    Journal of Differential Equations, 370 (2023), 1-65
    [arXiv] | [journal]
  3. Homogenization theory of elliptic system with lower order terms for dimension two
    Wei Wang, Ting Zhang
    Communications on Pure and Applied Analysis, 22 (2023), 787-824
    [arXiv] | [journal]

Preprints

  1. Uniform estimates of Landau-de Gennes minimizers in the vanishing elasticity limit with line defects
    Haotong Fu, Huaijie Wang, Wei Wang
    [arXiv: 2508.01811]
  2. Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit
    Haotong Fu, Huaijie Wang, Wei Wang
    [arXiv: 2507.14955]
  3. Existence of weak solutions for two-phase matrix-valued harmonic map flows
    Wei Wang, Wei Wang, Zhifei Zhang
    [arXiv: 2506.16278]
    Note: The second author Wei Wang (王伟) has the same name as mine in English. Here is his personal website.
  4. Stratification and rectifiability of harmonic map flows via tangent measures
    Haotong Fu, Wei Wang, Ke Wu, Zhifei Zhang
    [arXiv: 2504.14880]
  5. Fine structure of rupture set for semilinear elliptic equation with singular nonlinearity
    Wei Wang, Zhifei Zhang
    [arXiv: 2411.16048]
  6. Quantitative stratification and sharp regularity estimates for supercritical semilinear elliptic equations
    Haotong Fu, Wei Wang, Zhifei Zhang
    [arXiv: 2408.06726]
  7. Landau-de Gennes model with sextic potentials: asymptotic behavior of minimizers
    Wei Wang, Zhifei Zhang
    [arXiv: 2404.00677]

Teaching Experience

Institution Course Semester Role
Peking University Advanced Mathematics (C) (I)
[Review of the Midterm: Lecture Notes] | [Review of the Midterm: Slides] 		Fall 2025 Teaching Assistant
Peking University Advanced Mathematics (B) (II)
[Lecture Notes] 		Spring 2025 Teaching Assistant
Peking University Advanced Mathematics (A) (I)
[Lecture Notes] | [Finals Answers] 		Fall 2024 Teaching Assistant
Peking University Advanced Mathematics (B) (II) Spring 2024 Teaching Assistant
Peking University Harmonic Analysis
[Homework Solutions] 		Fall 2023 Teaching Assistant
Peking University Functional Analysis (I) Spring 2023 Teaching Assistant
Peking University Advanced Mathematics (C) (I) Fall 2022 Teaching Assistant
Zhejiang University Mathematical Analysis (II) Spring 2022 Teaching Assistant
Zhejiang University Mathematical Analysis (I) Fall 2021 Teaching Assistant

Talks and Presentations

Conference/Workshop Talks

  • Conference on Theory and Computation of Quasi Crystals, NanKai University, Tianjin, PRC, Aug. 2025 [slides]

  • Defense of ICCM Creative Undergraduate Thesis, Southeast University, Nanjing, Jiangsu, PRC, Aug. 2022 [slides]

Seminar/Colloquium Talks

  • PDE and geometry Seminar, Zhejiang University, Hangzhou, Zhejiang, PRC, June 2025 [slides]

  • PDE Seminar, Peking University, Beijing, PRC, Dec. 2024 [slides]

Poster Presentations

  • Graduate Research Exhibition, Peking University, Beijing, PRC, Apr. 2025, [poster]

  • Graduate Research Exhibition, Peking University, Beijing, PRC, Apr. 2024, [poster]

Notes and Expository Papers

  • Notes on the Alt-Phillips problem, [pdf]
  • Notes on A-free measures, [pdf]
  • Notes on bubbling analysis of Ginzburg-Landau model, [pdf]
  • Studying notes on ergodic theory (in Chinese), [pdf]
  • Notes on recent progress of obstacle problems (with Yuxuan Chen), [pdf]
  • Notes on Schoen-Uhlenbeck theory for harmonic maps, [pdf]
  • Reading notes on elliptic free boundary problems, [pdf]