Research

Multiplicative subgroups of prime fields are not sumsets

Joint with Misha Rudnev

Preprint, July 2026

Beating product constructions for linear equations over finite fields

Joint with Paul Hametner

Preprint (submitted), June 2026

Arxiv | PDF | Poster

Bounded exponential sums with multiplicative coefficients

Joint with Pierre-Alexandre Bazin and Ihor Pylaiev

Published in Mathematika

Journal version | PDF

New lower bounds for cap sets

Published in Discrete Analysis, December 2023

Journal version | PDF | Slides | Video

The admissible sets and code used in the paper can be found on GitHub

Almost-periodicity in additive number theory

MMath dissertation, June 2023

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