N. Kaplan

activity

20102024

most citedCounting Numerical Semigroups

31 citations · 208 across the 28 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.CO2022

The Expected Embedding Dimension, type and weight of a Numerical Semigroup

Nathan Kaplan, Deepesh Singhal

We study statistical properties of numerical semigroups of genus $g$ as $g$ goes to infinity. More specifically, we answer a question of Eliahou by showing that as $g$ goes to infi…

math.CO2022

Enumerating numerical sets associated to a numerical semigroup

April Chen, Nathan Kaplan, Liam Lawson +2

A numerical set $T$ is a subset of $N_{0}$ that contains $0$ and has finite complement. The atom monoid of $T$ is the set of $x \in N_{0}$ such that $x + T \subseteq T$ .…

math.NT2022

Generalizations of results of Friedman and Washington on cokernels of random $p$ -adic matrices

Gilyoung Cheong, Nathan Kaplan

Let $p$ be prime and $X$ be a Haar-random $n \times n$ matrix over $Z_{p}$ , the ring of $p$ -adic integers. Let $P_{1} (t), \dots, P_{l} (t) \in Z_{p} [t]$ be monic p…

The Expected Embedding Dimension, type and weight of a Numerical Semigroup

Enumerating numerical sets associated to a numerical semigroup

Generalizations of results of Friedman and Washington on cokernels of random p-adic matrices

Generalizations of results of Friedman and Washington on cokernels of random $p$ -adic matrices