Uniform Boundedness Conjecture and Lang-Silverman Conjecture for complex function fields, 2026, PKU Arakelov Geometry Seminar.
Learning Seminar on Canoncal Integral Models of Shimura Varieties, 2025, run by Yihang Zhu and Roy Zhao. I gave two talks on CM theory of abelian varieties and the canonical models of Shimura varieties. Here are the notes (apologize for my hand-writting).
Qiuzhen-Chenxing Mordell Seminar, 2024, run by Yihang Zhu and Yichao Tian. Here is the notes for my talk (Lecture 13). The main goal of my talk is to conclude Theorem D (Finiteness within an isogeny class) from Theorem F G H, assuming Raynaud's Theorem. I then obtain Faltings' Finiteness Theorem for Abelian varieties.
Handwritten notes on Tate's Thesis. A part of Number Theory II, 2024 Spring, lectured by Xinyi Yuan. He talked about elliptic curves and modular forms. Homeworks: 1 2 3
On Weil Representations. A course essay for Representation Theory II, 2024 Spring, lectured by Wenwei Li. We mainly went through local and global aspects of automorphic representations in the course.
Final Exam of Functional Analysis. The final exam made by Meiyue Jiang (蒋美跃), 2024 Spring.