· I am a fourth-year Ph.D. candidate in the department of Mathematics at Columbia University. My advisor is professor Chao Li.
· My research interests: arithmetic geometry, automorphic forms.
· Email: bqzhu@math.columbia.edu / bz2393@columbia.edu
Here is my Curriculum Vitae.
Currently I'm studying special cycles and related topics on Shimura varieties and Rapoport-Zink spaces.
1. Arithmetic Siegel-Weil formula on X_0(N), preprint.
2. Arithmetic Siegel-Weil formula on X_0(N): singular terms, preprint.
3. The regularity of difference divisors, preprint.
Instructor for Math 1003 College algebra and Analytic geometry, Spring 2024
Teaching Assistant for Math 1103 Calculus III (two sections), Fall 2023
Instructor for Math S1202 Calculus IV, Summer 2023
Teaching Assistant for Math 1102 Calculus II (two sections), Fall 2022
Teaching Assistant for Math 1102 Calculus II (two sections), Summer 2022
Teaching Assistant for Math 1102 Calculus II, Spring 2022
Teaching Assistant for Math 1101 Calculus I, Fall 2021
DRP:
In Spring 2022, I mentored an undergraduate on reading Algebraic Number Theory by J.S.Milne.
2024
The full arithmetic Siegel-Weil formula on X_0(N), AIM workshop on Arithmetic intersection theory on Shimura varities.
2023
Intersection of modular correpsondences, Graduate Student Number Theory Seminar on Deformations of Galois representations
Arithmetic Siegel-Weil formula on X_0(N), Number theory seminar, University of Wisconsin - Madison, Madison
Arithmetic Siegel-Weil formula on X_0(N), Algebra & Number theory summer school, MCM, Beijing
Arithmetic Siegel-Weil formula on X_0(N), Special values of L-functions and the BSD conjecture, Tianyuan Mathematical Center, Kunming. Slides.
Iwasawa main conjecture for totally real fields, Graduate Student Number Theory Seminar on Eisenstein series and related topics. Notes.
Integral models of PEL-type shimura varieties, Graduate Student Number Theory Seminar on p-adic Automorphic Forms on Shimura Varieties. Notes.
Partial induction theorem, Graduate Student Number Theory Seminar on Norm Residue Isomorphism. Notes.
Deformation of abelian varieties and algebraic groups, Graduate Student Algebraic Geometry Seminar on Deformation Theory. Notes.
p-adic Hecke L-functions, Graduate Student Number Theory Seminar on p-adic Modular Forms and p-adic L-functions. Notes.
The followings are informal notes I wrote when I learned some topics, please be careful because they definitely contain typos and errors.
· Automorphic forms on GL_2 following Bump's book, part I, part II.