Jeffrey Yelton

activity

20142025

collaborators

4 papers

math.NT2025

Polynomials whose nth powers have prescribed multiple-of-nth-degree coefficients

Jeffrey Yelton

We show under a mild hypothesis that given field elements $a_{0}, \dots, a_{m} \in K$ , there always exists a degree- $m$ polynomial whose $n$ th power whose degree- $j n$ coefficient is eq…

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.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…

Polynomials whose nth powers have prescribed multiple-of-nth-degree coefficients

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

Dyadic torsion of 2-dimensional hyperelliptic Jacobians

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