Zhichao WANG (王志超)

I am currently a young investigator (tenure-track faculty) at Shanghai Center for Mathematical Sciences, Fudan University.

Address: Room 523, Shanghai Center for Mathematical Sciences, Fudan University, Jiangwan Campus, 2005 Songhu Road, Shanghai 200438, China

I received my Ph.D. in 2018 from BICMR in Peking University under the supervision of Prof. Gang Tian. From the end of 2016, I started studying min-max theory under the guidance of Prof. Xin Zhou.

Here is my Curriculum Vitae (Updated: September 25, 2024).

Email: zhichao [at] fudan.edu.cn

Research interest: Geometric analysis, particularly the geometric variational problems such as minimal surfaces and mean curvature flows.

Publications and Preprints

  1. Scalar-mean rigidity theorem for compact manifolds with boundary (with J. Wang and B. Zhu),
    arXiv:2409.14503 (2024)

  2. Existence of embedded minimal tori in three-spheres with positive Ricci curvature (with X. Li),
    arXiv:2409.10391 (2024)

  3. On the waist and width inequality in complete 3-manifolds with positive scalar curvature (with Y. Liokumovich),
    arXiv:2308.04044 (2023)

  4. Improved C1,1 regularity for multiple membranes problem (with X. Zhou),
    arxiv:2308.00172 (2023)

  5. Existence of four minimal spheres in S3 with a bumpy metric (with X. Zhou),
    arXiv:2305.08755 (2023)

  6. Min-max minimal hypersurfaces with higher multiplicity (with X. Zhou),
    Accepted by J. Differential Geom., arXiv: 2201.06154 (2022)

  7. Uryson width of three dimensional mean convex domain with non-negative Ricci curvature (with B. Zhu),
    Journal of Functional Analysis 285 (2023), no. 8, 110062.

  8. Conformal upper bounds for the volume spectrum,
    Geom. Funct. Anal. Vol. 31 (2021), 992–1012.

  9. Multiplicity one for min-max theory in compact manifolds with boundary and its applications (with A. Sun and X. Zhou),
    Calc. Var. Partial Differential Equations Volume 63, article number 70 (2024).

  10. Existence of infinitely many free boundary minimal hypersurfaces,
    J. Differential Geom. 126 (2024), no.1, 363--399.

  11. Existence of minimal hypersurfaces with non-empty free boundary for generic metrics,
    Amer. J. Math. 144 (2022), no. 2, 599–606.

  12. Min-max theory for free boundary minimal hypersurfaces II - General Morse index bounds and applications (with Q. Guang, M. Li and X. Zhou),
    Math. Annalen 379 (2021), no. 3-4, 1395–1424.

  13. Compactness and generic finiteness for free boundary minimal hypersurfaces (II),
    arXiv:1906.08485 (2019)

  14. Compactness and generic finiteness for free boundary minimal hypersurfaces (I), (with Q. Guang and X. Zhou),
    Pacific J. Math Vol. 310 (2021), No. 1, 85–114.

  15. Compactness of self-shrinkers in R3 with fixed genus (with A. Sun),
    Adv. Math. 367(2020).

  16. Free boundary minimal hypersurfaces with least area (with Q. Guang and X. Zhou),
    Accepted by Comm. Anal. Geom. arXiv:1801.07036 (2018)

  17. Min-max minimal hypersurface in manifolds with convex boundary and Ric≥0,
    Math. Annalen 371 (2018), no. 3-4, 1545–1574.

Google scholar webpage; <> <> <> <> <> My papers on arxiv