I am a Fields Postdoctoral Fellow in the department of pure mathematics at the University of Waterloo. My supervisors are Professors Yu-Ru Liu and Wentang Kuo. My primary research interests are in analytic number theory (Riemann zeta-function and L-functions, the distribution of primes) and additive combinatorics (problems on sumsets, sequences, probabilistic and Fourier analytic method).

In 2020 May, I completed my PhD under the supervision of Professors Micah B. Milinovich and Thái Hoàng Lê at the University of Mississippi.

Here is my CV (last updated Aug. 2024)

Email:

gezhenchao "at" gmail "dot" com
z4ge "at" uwaterloo "dot" ca 

Publications:

1. A note on the least prime that splits completely in a nonabelian Galois number field
    with Micah B. Milinovich (Mississippi) and Paul Pollack (Georgia)
     Mathematische Zeitschrift, 292 (2019), no. 1-2, 183--192. 

2. On theorems of Wirsing and Sanders
    with Thái Hoàng Lê (Mississippi)
     Acta Arithmetica, 189 (2019), 381--390. 

3. Essential components in vector spaces over finite fields
    with Thái Hoàng Lê (Mississippi)
    Moscow Journal of Combinatorics and Number Theory, 10-2 (2021), 149--165.

4. Additive properties for sets of polynomial values
    Moscow Journal of Combinatorics and Number Theory, 11-3 (2022), 247--261 .

Research (in progress):

5. Biases in the gaps between zeros of a thin family of Dirichlet L-functions I: a continuous moment
    with Jonathan Bober (Bristol) and Micah B. Milinovich (Mississippi)
    preprint available upon request. 

6. A Weyl-type inequality for irreducible elements in function fields
     with Jérémy Champagne (Waterloo), Thái Hoàng Lê (Mississippi), and Yu-Ru Liu (Waterloo)
    preprint available upon request 

7. An additive property for kth powers of irreducible polynomials in function fields
    preprint available upon request

8. Multidimensional equidistribution theorem for irreducible elements in function fields
    with Jérémy Champagne (Waterloo) and Yu-Ru Liu (Waterloo)


Teaching:

University  of Waterloo
    - Math 135: Algebra for Honours Mathematics
    - Math 136: Linear Algebra 1 for Honours Mathematics

ShanghaiTech University
    - Math 1112: Linear Algebra 1
    - Math 1212: Probability and Statistic 1

University of Mississippi (Ole Miss)
    - Math 121: College Algebra
    - Math 261: Calculus 1
    - Math 267: Business Calculus 1
    - Math 268: Business Calculus 2

My Hobbies: Manga, Cycling