Welcome to my academic personal websites

Currently, I’m a first-year doctoral candidate at the School of Mathematic Science, Peking University, under the supervision of Prof. Bin Zhou). I’m interested in geometric analysis and nonlinear paitial differential equation. My email is gqcui25@stu.pku.edu.cn.

Publications and Preprints

  • Gradient potential estimates for linearized Monge-Amp`ere equations . Preprint (2026). | PDF | arXiv
  • Local potential and H"older estimates for the linearized Monge-Amp`ere equation (with L. Wang, B. Zhou). Preprint (2025). | PDF | arXiv

Education

  • 2025.9- Now Ph.D student in Pure Mathematics, Peking University, China
  • 2024.9-2025.5 Visiting Student, AMSS, University of Chinese Academy of Sciences, China
  • 2021.9-2025.6 B.S. in Mathematics, Shandong University, China

Teaching Experience

  • 2026.9-2027.1 Teaching assistant, Mathematical Analysis III (Honor class)
  • 2026.3-2026.6 Teaching assistant, Mathematical Analysis II (Honor class) | Exercise
  • 2025.9-2026.1 Teaching assistant, Partial Differential Equation | Homework | Exam