معرفی
Zane Li is an Assistant Professor in the Department of Mathematics at North Carolina State University. His research focuses on harmonic analysis and its applications to combinatorics, number theory, and partial differential equations. He is affiliated with the College of Sciences and part of the Faculty Research Groups in Ordinary Differential Equations and Partial Differential Equations and Analysis.
Li holds a Ph.D. in Mathematics from the University of California, Los Angeles (2019). His work bridges theoretical harmonic analysis with practical applications in diverse mathematical domains, including decoupling theory, fractal geometry, and elliptic curves. Recent contributions include advancements in Strichartz inequalities and decoupling techniques for parabolic geometries.
His publications emphasize decoupling methods, with notable work on Vinogradov's Mean Value Theorem and fractal subsets of the parabola. He has also explored elliptic curves and Galois representations in earlier research. While no specific awards are listed, his active research portfolio reflects significant contributions to modern mathematical analysis.
Li's advising and grant activities are not explicitly detailed in the provided text, though his involvement in departmental research groups suggests collaborative projects. He is based in SAS Hall 3264 and can be reached at zkli@ncsu.edu.
