- Skyscraper project . The purpose of this project is to lay foundation for what I care about(mostly arithmetic theory of automorphic forms for now), as well as to simplify proofs and to sharpen theorems. This project is still in a primary stage. All notes I have written is contained in here. Currently it contains about 3200 pages, so it might take a while to open.
- Hecke L-function for imaginary quadratic fields . A note prepared for reading course on analytic number theory with high school students.
- Ternary Goldbach's problem, and average of multiplicative functions.. A note prepared for reading course on analytic number theory with high school students.

- May 2024, Asymptotic Density of Rational Points.
- Apr 2024, Intersection matrix of basic locus via geometic Satake: examples.
- Feb 2024, \lambda-adic Galois representations associated to Hilbert modular forms.
- Jan 2024, \ell-adic Galois representations associated to automorphic forms.
- Dec 2023, Proof of the local Langlands conjecture for GL(n) over p-adic number fields.
- Oct 2023, Tate conjecture for rational K3 surfaces.
- Mar 2023, Complex Abelian varieties.
- Jan 2023, Kato's Euler system.
- Dec 2022, Beilinson's conjecture on special values of L-functions.
- Nov 2022, Conjectures about Galois representations.
- Oct 2022, De Rham representations.
- Oct 2022, Hodge-Tate representations.
- Sep 2022, Brauer groups.
- Jan 2022, Hecke converse theorems.
- Oct 2021, Adic spaces.
- Oct 2021, Period spaces for p-divisible groups. (Notes for talks are all merged into the Skyscraper project.)

- In Fall 2024 I mentored three high school students on reading "Analytic number theory" by H. Iwaniec and E. Kowalski.
- In Spring 2024 I mentored three high school students on reading "Analytic number theory" by H. Iwaniec and E. Kowalski.
- In Spring 2024 I was TA for 18.786: Number Theory 2.
- In Spring 2024 I was TA for 18.703: Modern Algebra.
- In January 2024 I mentored one undergraduate student on reading "Local Langlands correspondence for GL(n) over p-adic fields" by P. Scholze.
- In Fall 2023 I was TA for 18.112: Complex analysis in one variable.
- In Spring 2023 I was TA for 18.102: Introduction to functional analysis.
- In Fall 2022 I was TA for 18.112: Complex analysis in one variable.
- In August 2022 I mentored one undergraduate student on wring the paper "Gelfand-Kirillov dimensions of representations of p-adic groups" during SPUR program, which won a Roger's prize for best final papers in 2022 program in undergraduate research.
- In August 2022 I mentored another undergraduate student on wring the paper "Density of Tamagawa numbers of elliptic curves over global fields" during SPUR program.
- In January 2022 I mentored two undergraduate students on reading "A first course on modular forms" by F. Diamond and J. Shurman.

- Arizona Winter School
- Banana space(in Chinese)
- Bhargav Bhatt's homepage
- Brian Conrad's homepage
- Sanath Devalapurkar's homepage
- Vladimir Drinfeld's homepage
- Pavel Etingof's homepage
- Laurent Fargues' homepage
- Tony Feng's homepage
- Paul Garrett's homepage
- Haoyang Guo's homepage
- Michael Harris' substack account
- Ashwin Iyengar' homepage
- Kiran S. Kedlaya's homepage
- Emmanuel Kowalski's homepage
- Shilin Lai's homepage
- Aaron Landesman's homepage
- The L-functions and modular forms database(LMFDB)
- Chao Li's homepage
- Shizhang Li's homepage
- Takumi Murayama's homepage
- Number theory seminar at MIT
- Gyujin Oh's homepage
- Bjorn Poonen's homepage
- Peter Sarnak's homepage
- Tim Hosgood's translations
- Seminar on Topics in Arithmetic, Geometry at MIT
- Stack project
- Terence Tao's blog
- David Tong's homepage
- Bogdan Zavyalov's homepage
- Zhiyu Zhang's homepage