Research

My research interests lie at the intersection of additive combinatorics and analytic number theory. I am interested in polynomial configurations in the primes, forbidden difference problems, and Ramsey theory. My work uses tools including the circle method, density increments, transference, sieve methods, and Fourier analysis.

At the University of Georgia, I am part of the Number Theory and Arithmetic Geometry group.

Preprints

Refined upper bounds on Schur-like numbers

submitted2026

with S. Hegde, A. Lott, and G. Petridis

arXiv

Abstract

We study multicolor Schur-type problems for balanced additive equations and obtain refined upper bounds for the corresponding Ramsey numbers.

Extensions of the Furstenberg–Sárközy theorem via the arithmetic level-d inequality

submitted2026

with C. F. E. Adajar, R. Agrawal, M. R. Choudhuri, C. Y. Chuah, S. Fan, S. Hegde, A. Lott, and K. Nandakumar

arXiv

Abstract

We establish quantitative extensions of the Furstenberg–Sárközy theorem for polynomial differences using an arithmetic level-d inequality.

Publications

Polynomial progressions in the generalized twin primes

published2026

with A. Lott

Journal arXiv

Abstract

We prove the existence of polynomial configurations in generalized twin primes using sieve estimates and a transference principle.