Rafe Jones

activity

20062026

most citedThe density of prime divisors in the arithmetic dynamics of quadratic polynomials

106 citations · 200 across the 16 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.NT2015

Finite ramification for preimage fields of postcritically finite morphisms

Andrew Bridy, Patrick Ingram, Rafe Jones +5

Given a finite endomorphism $φ$ of a variety $X$ defined over the field of fractions $K$ of a Dedekind domain, we study the extension $K(φ^{-\infty}(α)) : = \bigcup_{n \geq 1} K(φ^…

math.NT2015

Powers in orbits of rational functions: cases of an arithmetic dynamical Mordell-Lang conjecture

Jordan Cahn, Rafe Jones, Jacob Spear

Let $K$ be a finitely generated field of characteristic zero. We study, for fixed $m \geq 2$ , the rational functions $ϕ$ defined over $K$ that have a $K$ -orbit containing infinitel…

math.NT2015

Wild ramification in a family of low-degree extensions arising from iteration

Benjamin Breen, Rafe Jones, Tommy Occhipinti +1

This article gives a first look at wild ramification in a family of iterated extensions. For integer values of c, we consider the splitting field of $(x^{2} + c)^{2} + c$ , the second i…