Christopher O’Neill

activity

20202026

most citedMinimal free resolutions of numerical semigroup algebras via Apéry specialization

2 citations · 3 across the 12 of their papers we have counts for

collaborators

Showing 2024 · math.COShow all

3 papers · 2 filters

math.CO2024

Numerical semigroups from rational matrices II: matricial dimension does not exceed multiplicity

Arsh Chhabra, Stephan Ramon Garcia, Christopher O'Neill

We continue our study of exponent semigroups of rational matrices. Our main result is that the matricial dimension of a numerical semigroup is at most its multiplicity (the least g…

math.CO2024

Counting edges in factorization graphs of numerical semigroup elements

Mariah Moschetti, Christopher O'Neill

A numerical semigroup $S$ is an additively-closed set of non-negative integers, and a factorization of an element $n$ of $S$ is an expression of $n$ as a sum of generators of $S$ .…

math.CO2024

Numerical semigroups, polyhedra, and posets IV: walking the faces of the Kunz cone

Cole Brower, Joseph McDonough, Christopher O'Neill

A numerical semigroup is a cofinite subset of $Z_{\geq 0}$ containing $0$ and closed under addition. Each numerical semigroup $S$ with smallest positive element $m$ correspo…