Zhenchao Ge's Homepage

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. 2025)

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

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

7. An additive property for polynomial values in function fields
preprint available upon request

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

Teaching:

University of Waterloo
- Math 135: Algebra for Honours Mathematics
- Math 136: Linear Algebra 1 for Honours Mathematics
- Math 235: Linear Algebra 2 for Honours Mathematics
- PMath 334: Introduction to Rings and Fields

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