Here is my Curriculum Vitae.
I am interested in various formulas bridging geometry and arithmetic, like BSD type, Gross-Zagier type formulas and arithmetic Siegel-Weil formula, and how to use them to study the geometry and arithmetic of local and global Shimura varieties.
Currently I am studing special cycles on Rapoport-Zink spaces and Shimura varieties, and related topics like arithmetic Siegel-Weil formula.
Kudla-Rapoport Conjecture for Odd Exotic Smooth Models, in preparation.
Derived patching, Graduate Student Number Theory Seminar on Derived Galois Deformation Rings. Notes
Diamond I, Student Arithmetic Geometry Reading Seminar (UMN) on p-adic geometry. Notes
P-adic properties of modular schemes and modular forms, Graduate Student Number Theory Seminar on p-adic Modular Forms and p-adic L-functions. Notes
Classicality mod p, Graduate Student Number Theory Seminar on Higher Hida Theory. Notes
Artin's axiom for algebraic stacks, Graduate Student Algebraic Geometry Seminar on Deformation Theory. Notes1 Notes2
Equivalence of conditions, Graduate Student Number Theory Seminar on Norm Residue Isomorphism Theorem.
Hilbert-Blumenthal Moduli, Graduate Student Number Theory Seminar on p-adic Automorphic Forms on Shimura Varieties. Notes
Taylor-Wiles patching and connections to p-adic Langlands, Graduate Student Number Theory Seminar on p-adic Langlands. Notes
Hida theory for GL(2) over totally real fields, Graduate Student Number Theory Senimar on Eisenstein series and related arithmetic topics. Notes
Instructor for Math1102 Calculus II, Fall 2022
Instructor for Math1102 Calculus II, Summer 2023 (term B)
TA for Math1101 Calculus I (two sections), Fall 2020
TA for Math1101 Calculus I, Spring 2021
TA for Math1201 Calculus III (two sections), Fall 2021
TA for Math3020 Number Theory and Cryptography, Spring 2022
TA for Math3020 Number Theory and Cryptography, Spring 2023
TA for Math0065 Basic Mathematics, Summer 2023 (term A)
TA for Math1201 Calculus III (two sections), Fall 2023
DRP: In Spring 2022, I mentored an undergraduate on reading Algebraic Geometry by R. Hartshorne.
The following notes are informal notes when I learned some topics. There might be typos or mistakes.
Etale cohomology following J. S. Milne's book Etale Cohomology notes
Shimura varieties following J. S. Milne's book Introduction to Shimura Varieties 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Derived algebraic geometry following Tony Yue Yu's lectures 1 2 3 4 5 6 7 8 9 10 11
Counting points on Shimura varieties following Yihang Zhu's lectures Lecture 1 Lecture 2
In my spare time, I like cycling, playing soccer and badminton.