About me

I’m currently a PhD student at School of Mathematical Sciences, Peking University. My advisors are Prof. Qing Han, Prof. Yuguang Shi & Prof. Yu Yuan. Before this, I obtained my Bachelor’s degree in Mathematics at Xi’an Jiaotong University under the supervision of Prof. Dongsheng Li.

Research Interests

Nonlinear Partial Differential Equations and Geometric Analysis
Especially, minimal surfaces, Monge-Ampère equations, special Lagrangian equations and other fully nonlinear equations.

CV

Here is my CV (English Version)

Educdtion

2023-now, PhD in Mathematics, Peking University
2019-2023, Bachelor, Xi’an Jiaotong University
2017-2019, Young Gifted Class(少年班), Xi’an Jiaotong University

Teaching

Lecture Notes
Teaching Assistant, Advanced Math B, 2025 spring at PKU
Teaching Assistant, Advanced Math B, 2024 fall at PKU
Teaching Assistant, Advanced Math B, 2023 spring at PKU
Teaching Assistant, Advanced Math C, 2023 fall at PKU

Preprints and Publications

• Z. Fan. Hessian estimates for the sigma-2 equation with variable right hand side terms in dimension 4. arXiv

• Z. Fan. A generalization of Savin’s small perturbation theorem for fully nonlinear elliptic equations and applications. arXiv

• Z. Fan, Y.G. Ouyang. Asymptotic behavior of exterior minimal graphs in half spaces. J Geom. Anal. 35, 247 (2025) paper