Hi, I'm Zi Li! Welcome to my personal website!
I am a visiting assistant professor at the School of Mathematics, Georgia Tech. My mentor is Ernie Croot. I did my PhD in mathematics at UCLA, advised by Terence Tao.
I am mainly interested in analytic number theory and additive combinatorics.
Email: zlim43[at]gatech.edu zililim[at]math.ucla.edu (replace [at] with the appropriate symbol)
Research:
Galois representations and modularity for twisted moments of Kloosterman sums, with Fang-Ting Tu and Jeng-Daw Yu, submitted
Generalised Fermat equations in dense variables over finite fields and rings, with Sam Chow and Akshat Mudgal, to appear in Mathematika (Wooley Special Issue)
On the density version of quadratic Waring's problem and the quadratic Waring--Goldbach problem, submitted
Uniform nonlinear Szemerédi theorem for corners in finite fields, submitted
Three term rational function progressions in finite fields, with Guo-Dong Hong, Int. Math. Res. Not. IMRN 10 (2025)