Preprints and Publications

• Area rigidity for the regular representation of surface groups (with Riccardo Caniato and Antoine Song), arXiv:2508.19480 

• Existence of embedded minimal tori in three-spheres with positive Ricci curvature (with Zhichao Wang), arXiv:2409.10391  

• Minimal surfaces with low genus in lens spaces (with Tongrui Wang and Xuan Yao), arXiv:2406.12584

Accepted by J. Reine Angew. Math.                

• Generic scarring for minimal hypersurfaces in manifolds thick at infinity with a thin foliation at infinity, arXiv:2312.03591 

• Homological filling functions with coefficients (with Fedor Manin), arXiv:2009.13489

Groups Geom. Dyn. 16 (2022), no. 3, pp. 889–907

Lecture notes

• Iteration methods in PDE and applications in geometry, Notes

A set of lecture notes on iteration methods in PDE and applications in geometry that Prof. Xin Zhou taught at Cornell in Fall 2024.

• Lectures on min-max theory of minimal hypersurfaces, Notes

    A set of lecture notes on the min-max theory of minimal hypersurfaces that Prof. Xin Zhou taught at Cornell in Fall 2022.

Academic Talks 

• Analysis and Geometric Analysis Seminar, Cornell University: “Area rigidity for the regular representation of surface groups.” [Upcoming: Jan. 2026]

• Geometry & Topology Seminar, University of Toronto: “Embedded minimal tori in three-spheres.” [Upcoming: Nov. 2025] 

• Geometry Seminar, Lehigh University: “Embedded minimal tori in three-spheres.” [Sep. 2025] 

• Weyl Laws Across Mathematics Workshop, Brin MRC, University of Maryland: “Generic scarring for minimal hypersurfaces.” [May. 2025] 

• Geometry & Topology Seminar, Caltech: “Embedded minimal tori in three-spheres.” [Feb. 2025]

• Geometric Analysis Seminar, Shanghai Jiao Tong University: “Embedded minimal tori in three-spheres.” [Jan. 2025]

• Geometric Analysis Seminar, Brown University: “Embedded minimal tori in three-spheres.” [Nov. 2024]

• Advancing to Doctoral Candidacy Exam, Cornell University: “Embedded minimal tori in three-spheres.” [Oct. 2024]

• Olivetti Club, Cornell University: “Minimal surfaces with low genus in lens spaces.” [Oct. 2024]

• Student Geometry and Analysis Seminar (Zoom), University of Toronto: “Generic scarring for minimal hypersurfaces in manifolds thick at infinity with a thin foliation at infinity.” [Apr. 2024]

• Geometric Analysis Seminar, Westlake University: “Generic scarring for minimal hypersurfaces in manifolds thick at infinity with a thin foliation at infinity.” [Jan. 2024] 

• Differential Geometry Seminar, Shanghai Center for Mathematical Sciences: “Generic scarring for minimal hypersurfaces in manifolds thick at infinity with a thin foliation at infinity.” [Dec. 2023]

• Topology Seminar (Zoom), UC Santa Barbara: “Homological filling functions with coefficients.” [Dec. 2020]  

Teaching

• TA (grading) for Math 4530 at Cornell: “Introduction to Topology.” [2025 Fall]

• TA (grading) for Math 4130 at Cornell: “Honors Introduction to Analysis I.” [2025 Spring]

• TA (recitation) for Math 1920 at Cornell: “Multivariable Calculus for Engineers.” [2024 Fall]

Awards

2025 Inaugural Simons Dissertation Fellowship in Mathematics (provides research support to exceptional graduate students in mathematics). 

2024 Robert J. Bättig Graduate Prize (for excellent research papers, and significant contributions). 

2022 Mochizuki Memorial Fund Award (given annually to a graduating senior in mathematics for outstanding academic achievement).