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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Undergraduate Honors Presentation
David Stephens
University of California, San Diego
A Simplified Proof of the Erdős Sumset Conjecture
Abstract:
In this talk, we will discuss an ergodic proof of the Sumset Conjecture of Erdős, which asks if every set $A \subseteq \mathbb{N}$ with positive density contains $B + C$ for some $B,C \subseteq \mathbb{N}$ infinite. This result was originally proved by Moreira, Richter, and Robertson in 2019 using ultrafilters, however in this proof we will adapt the method of progressive measures recently developed by Kra, Moreira, Richter, and Robertson. We closely follow their proof, simplifying what we can along the way.
Advisor: Professor Brandon Seward
May 7, 2026
2:30 PM
APM 5829
Research Areas
Ergodic Theory and Dynamical Systems****************************
