Ryan Alweiss

activity

20162023

most citedImproved bounds for the sunflower lemma

6 citations · 25 across the 13 of their papers we have counts for

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Showing 2022Show all

2 papers · 1 filter

math.CO2022★ 1 cited

Improved Lower Bound for Frankl's Union-Closed Sets Conjecture

Ryan Alweiss, Brice Huang, Mark Sellke

We verify an explicit inequality conjectured recently by Gilmer, thus proving that for any nonempty union-closed family $F \subseteq 2^{[n]}$ , some $i \in [n]$ is contained in at le…

math.CO2022★ 1 cited

Monochromatic Sums and Products of Polynomials

Ryan Alweiss

We show that the pattern ${x, x + y, x y}$ is partition regular over the space of formal integer polynomials of degree at least one with zero constant term, with primitive recursive b…