3 papers
math.CO2026
Monochromatic Sums and Products over
Ryan Alweiss
Hindman's finite sums theorem states that in any finite coloring of the naturals, there is an infinite sequence so that all of its finite subset sums are the same color. In 1979, H…
math.CO2025
On a Question of Gowers on Clique Differences
Ryan Alweiss
We solve a question of Gowers from 2009 on clique differences in chains, thus ruling out any Sperner-type proof of the polynomial density Hales-Jewett theorem for alphabets of size…
math.CO2025
Set System Blowups
Ryan Alweiss
We prove that given a constant and a large set system of sets of size at most , a typical -tuple of sets from can b…