N. Kaplan

activity

20102024

most citedCounting Numerical Semigroups

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

collaborators

Showing 2023Show all

2 papers · 1 filter

math.AG2023★ 1 cited

Cusps in $C^{3}$ with prescribed ramification

Ethan Cotterill, Nathan Kaplan, Renata Vieira Costa

We study value semigroups associated to germs of maps $C \to C^{3}$ with fixed ramification profiles in a distinguished point. We then apply our analysis to…

math.NT2023

The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, I

John Cullinan, Nathan Kaplan

Let $ℓ$ be a prime number and let $E$ and $E^{'}$ be $ℓ$ -isogenous elliptic curves defined over a finite field $k$ of characteristic $p \neq = ℓ$ . Suppose the groups $E (k)$ and…

Cusps in C3 with prescribed ramification

The probability of non-isomorphic group structures of isogenous elliptic curves in finite field extensions, I

Cusps in $C^{3}$ with prescribed ramification