Joel Brewster Lewis

collaborators

4 papers

math.CO2025

Interval-closed set rowmotion and homomesy on products of two chains

Nadia Lafrenière, Joel Brewster Lewis, Erin McNicholas +2

We study rowmotion dynamics on interval-closed sets. Our first main result proves a simplification of the global definition of interval-closed set rowmotion from (Elder, Lafrenière…

math.CO2025

Global patterns in signed permutations

Owen John Levens, Joel Brewster Lewis, Bridget Eileen Tenner

Global permutation patterns have recently been shown to characterize important properties of a Coxeter group. Here we study global patterns in the context of signed permutations, w…

math.GR2024

$G L_{n} (F_{q})$ -analogues of some properties of $n$ -cycles in $S_{n}$

Joel Brewster Lewis

We give analogues in the finite general linear group of two elementary results concerning long cycles and transpositions in the symmetric group: first, that the long cycles are pre…

math.CO2024

Disarray, reduced words, and 321-avoidance in George groups

Joel Brewster Lewis, Bridget Eileen Tenner

Previous work has shown that the disarray (or displacement) of an (affine) (signed) permutation is bounded in terms of its Coxeter length. Here, we characterize the permutations fo…

Interval-closed set rowmotion and homomesy on products of two chains

Global patterns in signed permutations

GLn​(Fq​)-analogues of some properties of n-cycles in Sn​

Disarray, reduced words, and 321-avoidance in George groups

$G L_{n} (F_{q})$ -analogues of some properties of $n$ -cycles in $S_{n}$