Kyle Ormsby

collaborators

3 papers

math.CO2025

Enumerating submonoids of finite commutative monoids

Caoilainn Kirkpatrick, Amelie el Mahmoud, Kyle Ormsby +6

Given a finite commutative monoid $M$ , we show that submonoids of $M \times [n]$ - where $[n] = {0, 1, \dots, n}$ is equipped with the max operation $\lor$ - may be enumerated via t…

math.CO2025

Combinatorics of factorization systems on lattices

Jishnu Bose, Tien Chih, Hannah Housden +4

We initiate the combinatorial study of factorization systems on finite lattices, paying special attention to the role that reflective and coreflective factorization systems play in…

math.AT2024

The combinatorics of $N_{\infty}$ operads for $C_{q p^{n}}$ and $D_{p^{n}}$

Scott Balchin, Ethan MacBrough, Kyle Ormsby

We provide a general recursive method for constructing transfer systems on finite lattices. Using this we calculate the number of homotopically distinct $N_{\infty}$ operads for dihe…

Enumerating submonoids of finite commutative monoids

Combinatorics of factorization systems on lattices

The combinatorics of N∞​ operads for Cqpn​ and Dpn​

The combinatorics of $N_{\infty}$ operads for $C_{q p^{n}}$ and $D_{p^{n}}$