About
I am a postdoctoral researcher in the Department of Mathematics at Louisiana State University and a TIAMS Postdoctoral Fellow. I earned my Ph.D. in Mathematics from the Georgia Institute of Technology in 2025, where I was advised by Michael T. Lacey.
My research lies at the intersection of analytic number theory, discrete harmonic analysis, and additive combinatorics. I study prime numbers and other sparse arithmetic sets using ideas from the Hardy–Littlewood circle method and harmonic analysis. I also work on sparse signal recovery and nonconvex optimization.
Research interests
- Analytic number theory and the Hardy–Littlewood circle method
- Discrete harmonic analysis, improving estimates, and sparse bounds
- Additive problems involving primes, arithmetic progressions, and Gaussian integers
- Arithmetic questions in restricted-digit and Cantor-type sets
- Sparse signal recovery and nonconvex optimization
Recent news
- I am organizing the special session Recent Advances in Discrete Harmonic Analysis with Fan Yang and Hongki Jung (LSU) at the AMS Spring 2027 Southeastern Sectional Meeting, to be held at the University of Alabama at Birmingham on March 20–21, 2027.
- My new preprint, Primes with Restricted-Digit Differences, with Rui Han and Fan Yang, is now available on arXiv.
- I participated in the International Congress of Mathematicians (ICM 2026), held July 23–30 at the Pennsylvania Convention Center in Philadelphia, with support from an Early Career Mathematician Travel Grant (up to $2,400), administered by the American Mathematical Society and funded by the National Science Foundation.
- A density theorem for higher-order sums of prime numbers appeared in Research in the Mathematical Sciences.
- My preprint with Rui Han, On the small denominator problem for generalized Minkowski–Funk transforms, is available on arXiv.
- I joined Louisiana State University as a postdoctoral researcher.