Colin Defant

activity

20152026

most citedOn the Density of Ranges of Generalized Divisor Functions

6 citations · 15 across the 16 of their papers we have counts for

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33 papers · 1 filter

math.CO2026

Zero-free columns in character tables of symmetric groups

Colin Defant, Sidharth Hariharan, Kenny Lau +1

The rows and columns of the character table of the symmetric group $S_{n}$ are both naturally indexed by partitions of $n$ . Let $D (n)$ denote the number of conjugacy classes of $S_{n}$ …

math.CO2026

On the number of permutation-twisted dot products

Ruben Carpenter, Colin Defant, Noah Kravitz

Let $K$ be a field of characteristic $0$ . For each choice of distinct $a_{1}, \dots, a_{n} \in K$ and distinct $b_{1}, \dots, b_{n} \in K$ , consider the sum $S=\…

math.CO2024

Rainbow Stackings of Random Edge-Colorings

Noga Alon, Colin Defant, Noah Kravitz

A rainbow stacking of $r$ -edge-colorings $χ_{1}, \dots, χ_{m}$ of the complete graph on $n$ vertices is a way of superimposing $χ_{1}, \dots, χ_{m}$ so that no edges of the same color ar…

math.CO2024

Toric Promotion with Reflections and Refractions

Ashleigh Adams, Colin Defant, Jessica Striker

Inspired by recent work on refraction billiards in dynamics, we introduce a notion of refraction for combinatorial billiards. This allows us to define a generalization of toric pro…

math.CO2024

Tilings of Benzels via Generalized Compression

Colin Defant, Leigh Foster, Rupert Li +2

Defant, Li, Propp, and Young recently resolved two enumerative conjectures of Propp concerning the tilings of regions in the hexagonal grid called benzels using two types of protot…

math.CO2024

Bender--Knuth Billiards in Coxeter Groups

Grant Barkley, Colin Defant, Eliot Hodges +2

Let $(W, S)$ be a Coxeter system, and write $S = {s_{i} : i \in I}$ , where $I$ is a finite index set. Fix a nonempty convex subset $L$ of $W$ . If $W$ is of type $A$ , then $\mat…