Sammy Luo

activity

20152025

most citedThe Saxl Conjecture for Fourth Powers via the Semigroup Property

10 citations · 13 across the 18 of their papers we have counts for

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3 papers · 1 filter

math.CO2025

Iterated sumset expansion in $F_{p}^{n}$

Manik Dhar, Sammy Luo

Given a set $A \subseteq F_{p}^{n}$ , what conditions does one need to guarantee that iterated sumsets of the form $A + \dots + A$ expand quickly (say, within $O (p)$ terms) to the…

math.CO2025

At most 10 cylinders mutually touch: a Ramsey-theoretic approach

Travis Dillon, Junnosuke Koizumi, Sammy Luo

Littlewood asked for the maximum number $N$ of congruent infinite cylinders that can be arranged in $R^{3}$ so that every pair touches. We improve upon the proof of the seco…

math.CO2025

Monochromatic components with many edges in random graphs

Hannah Fox, Sammy Luo

In an $r$ -coloring of edges of the complete graph on $n$ vertices, how many edges are there in the largest monochromatic connected component? A construction of Gyárfás shows that f…

Iterated sumset expansion in Fpn​

At most 10 cylinders mutually touch: a Ramsey-theoretic approach

Monochromatic components with many edges in random graphs

Iterated sumset expansion in $F_{p}^{n}$