I'm James Leng, a mathematics postdoc at Stanford University. Previously, I was a mathematics PhD student at UCLA from 2020-2025. Before that, I was an undergraduate at UC Berkeley from 2017-2020.
Contact:
email: jleng01 + "at" + stanford + "dot" + edu
Office: Building 380, 383-A
(replace "at", "dot" with appropriate symbols).
Teaching:
I am not teaching at the moment.
I have been a teaching assistant for the following classes:
Summer 2024: Math 31B: Integration and Infinite Series
Summer 2023: Math 31A: Differential and Integral Calculus.
Summer 2021: Math 170S, Introduction to Probability and Statistics
Spring 2021: Math 131A, Real Analysis
Winter 2021, Math 32B, Calculus of Several Variables
Fall 2020, Math 32B, Calculus of Several Variables
Research:
I'm interested in arithmetic combinatorics, dynamical systems, and Fourier analysis, focusing mostly on the field Higher Order Fourier Analysis. My work can be found on arXiv here.
I did my PhD with Terence Tao. My thesis, titled Szemerédi's theorem, primes, and nilsequences, which proves the quasi-polynomial U^{s + 1}[N] inverse theorem and deduces various results in arithmetic combinatorics and analytic number theory from it can be found here.
My has been featured on on quanta and on wired. In addition, my work was featured in quanta's end of the year video "2024's Biggest Breakthroughs in Math."
Talks:
IMAG new trends in arithmetic combinatorics and related fields Summer 2025
Princeton discrete mathematics seminar Spring 2025
Rutgers discrete mathematics seminar Spring 2025
UCLA analysis & pde seminar Fall 2024
ICMS conference in additive combinatorics Summer 2024
Stanford Analytic Number Theory Seminar Spring 2024
Harvard/MIT Richard P. Stanley Seminar in Combinatorics Spring 2024
Virginia Tech Analysis Seminar Spring 2024
JMM 2024 AIM Special Session on Multiplicative Number Theory and Additive Combinatorics
ETA Seminar Fall 2023
UCLA Analysis and PDE Seminar Fall 2023
AMS Southeastern Sectional on Discrete Analysis Spring 2023.
Caltech Discrete Analysis Seminar Spring 2023
UCLA Participating Analysis Seminar: Spring 2021, Fall 2021, Winter 2022, Spring 2022, Winter 2023, Spring 2023
JMM 2019
Misc:
I have occasionally been mistaken (by the UC Berkeley architecture department, in fact) as James Leng, a lecturer of architecture at Berkeley.
In my spare time, I enjoy rock climbing, swimming, playing video games, and playing the flute.