Tyrrell B. McAllister

collaborators

3 papers

math.CO2026

Periods of Ehrhart coefficients of rational polytopes

Tyrrell B. McAllister, HÃ©lÃ¨ne O. Rochais

Let $P \subseteq R^{n}$ be a polytope whose vertices have rational coordinates. By a seminal result of E. Ehrhart, the number of integer lattice points in the $k…

math.CO2026

Comparability in Bruhat orders

Jonathan Boretsky, Alvaro Cornejo, Reuven Hodges +3

We determine the sharp asymptotic scale of the probability that two uniformly random permutations are comparable in weak Bruhat order, showing that $\mathbb{P}(Ï_1 \preceq_W Ï_2)…

math.CO2025

Boundaries of pseudointegral polygons

Tyrrell B. McAllister, Jason S. Williford

We prove that a rational pseudointegral triangle with exactly one lattice point in its interior has at most $9$ lattice points on its boundary, where a polygon $P$ is called pseudo…