Jeffrey Yelton

activity

20132025

most citedSemistable models of elliptic curves over residue characteristic 2

2 citations · 3 across the 11 of their papers we have counts for

collaborators

16 papers

math.AG2025

A cluster criterion for potential degeneracy of superelliptic curves

Jeffrey Yelton

Let $K$ be a field with a discrete valuation; let $p$ be a prime; and let $C$ be the curve defined by an equation of the form $y^{p} = f (x)$ . We show that the curve $C$ has a model o…

math.NT2025

Split degenerate superelliptic curves and $ℓ$ -adic images of inertia

Jeffrey Yelton

Let $K$ be a field with a discrete valuation, and let $p$ and $ℓ$ be (possibly equal) primes which are not necessarily different from the residue characteristic. Given a superel…

math.NT2024

Branch points of split degenerate superelliptic curves II: on a conjecture of Gerritzen and van der Put

Jeffrey Yelton

Let $K$ be a field with a discrete valuation, and let $p$ be a prime. It is known that if $Γ ⊲ Γ_{0} < PGL_{2} (K)$ is a Schottky group normally contained in a larger group w…

math.AG2024

Clusters, toric ranks, and 2-ranks of hyperelliptic curves in the wild case

Leonardo Fiore, Jeffrey Yelton

Given a Galois cover $Y \to X$ of smooth projective geometrically connected curves over a complete discrete valuation field $K$ with algebraically closed residue field, we define a…

math.NT2023

Branch points of split degenerate superelliptic curves I: construction of Schottky groups

Jeffrey Yelton

Let $K$ be a field with a discrete valuation, and let $p$ be a prime. It is known that if $Γ ⊲ Γ_{0} < PGL_{2} (K)$ is a Schottky group normally contained in a larger group w…

math.NT2022

Clusters and semistable models of hyperelliptic curves in the wild case

Leonardo Fiore, Jeffrey Yelton

Given a Galois cover $Y \to X$ of smooth projective geometrically connected curves over a complete discrete valuation field $K$ with algebraically closed residue field, we define a…

math.NT2019★ 1 cited

Divisibility of torsion subgroups of abelian surfaces over number fields

John Cullinan, Jeffrey Yelton

Let $A$ be a 2-dimensional abelian variety defined over a number field $K$ . Fix a prime number $ℓ$ and suppose $# A (F_{p}) \equiv 0 (mod ℓ^{2})$ for a set of primes $\m…

math.NT2019★ 2 cited

Semistable models of elliptic curves over residue characteristic 2

Jeffrey Yelton

Given an elliptic curve $E$ in Legendre form $y^{2} = x (x - 1) (x - λ)$ over the fraction field of a Henselian ring $R$ of mixed characteristic $(0, 2)$ , we present an algorithm for d…

math.NT2019

Lifting images of standard representations of symmetric groups

Jeffrey Yelton

We investigate closed subgroups $G \subseteq Sp_{2 g} (Z_{2})$ whose modulo- $2$ images coincide with the image $\mathfrak{S}_{2g + 1} \subseteq \mathrm{Sp}_{2g}(\math…

math.NT2018

An abelian subfield of the dyadic division field of a hyperelliptic Jacobian

Jeffrey Yelton

Given a field $k$ of characteristic different from $2$ and an integer $d \geq 3$ , let $J$ be the Jacobian of the "generic" hyperelliptic curve given by $y^2 = \prod_{i = 1}^d (x -…

math.AG2017

Prime-to- $p$ étale fundamental groups of punctured projective lines over strictly Henselian fields

Hilaf Hasson, Jeffrey Yelton

Let $K$ be the fraction field of a strictly Henselian DVR of characteristic $p \geq 0$ with algebraic closure $K ˉ$ , and let $α_{1}, ..., α_{d} \in P_{K}^{1} (K)$ . In t…

math.NT2017

A note on 8-division fields of elliptic curves

Jeffrey Yelton

Let $K$ be a field of characteristic different from $2$ and let $E$ be an elliptic curve over $K$ , defined either by an equation of the form $y^{2} = f (x)$ with degree $3$ or as th…

math.NT2017

Boundedness results for 2-adic Galois images associated to hyperelliptic Jacobians

Jeffrey Yelton

Let $K$ be a number field, and let $C$ be a hyperelliptic curve over $K$ with Jacobian $J$ . Suppose that $C$ is defined by an equation of the form $y^{2} = f (x) (x - λ)$ for some ir…

math.NT2014

Dyadic torsion of 2-dimensional hyperelliptic Jacobians

Jeffrey Yelton

Let $k$ be a field of characteristic $0$ , and let $α_{1}$ , $α_{2}$ , ..., $α_{5}$ be algebraically independent and transcendental over $k$ . Let $K$ be the transcendental extension o…

math.NT2014

Images of 2-adic representations associated to hyperelliptic Jacobians

Jeffrey Yelton

Let $k$ be a subfield of $C$ which contains all $2$ -power roots of unity, and let $K = k (α_{1}, α_{2}, ..., α_{2 g + 1})$ , where the $α_{i}$ 's are independent and transcen…

math.AG2013

Dyadic Torsion of Elliptic Curves

Jeff Yelton

Let $k$ be a field of characteristic $0$ , and let $α_{1}$ , $α_{2}$ , and $α_{3}$ be algebraically independent and transcendental over $k$ . Let $K$ be the transcendental extension of…

A cluster criterion for potential degeneracy of superelliptic curves

Split degenerate superelliptic curves and ℓ-adic images of inertia

Branch points of split degenerate superelliptic curves II: on a conjecture of Gerritzen and van der Put

Clusters, toric ranks, and 2-ranks of hyperelliptic curves in the wild case

Branch points of split degenerate superelliptic curves I: construction of Schottky groups

Clusters and semistable models of hyperelliptic curves in the wild case

Divisibility of torsion subgroups of abelian surfaces over number fields

Semistable models of elliptic curves over residue characteristic 2

Lifting images of standard representations of symmetric groups

An abelian subfield of the dyadic division field of a hyperelliptic Jacobian

Prime-to-p étale fundamental groups of punctured projective lines over strictly Henselian fields

A note on 8-division fields of elliptic curves

Boundedness results for 2-adic Galois images associated to hyperelliptic Jacobians

Dyadic torsion of 2-dimensional hyperelliptic Jacobians

Images of 2-adic representations associated to hyperelliptic Jacobians

Dyadic Torsion of Elliptic Curves

Split degenerate superelliptic curves and $ℓ$ -adic images of inertia

Prime-to- $p$ étale fundamental groups of punctured projective lines over strictly Henselian fields