John R. Doyle

collaborators

2 papers

math.NT2025

Preperiodic integers for $x^{d} + c$ in large degree

John R. Doyle, Wade Hindes

Given a number field $K$ , we completely classify the preperiodic portraits of the maps $x^{d} + c$ where $c \in K$ is an algebraic integer and $d$ is sufficiently large depending on the…

math.NT2024

Unicritical polynomials over $ab c$ -fields: from uniform boundedness to dynamical Galois groups

John R. Doyle, Wade Hindes

Let $K$ be a function field of characteristic $p \geq 0$ or a number field over which the $ab c$ conjecture holds, and let $I ¨ (x) = x^{d} + c \in K [x]$ be a unicritical polynomial of degree…

Preperiodic integers for xd+c in large degree

Unicritical polynomials over abc-fields: from uniform boundedness to dynamical Galois groups

Preperiodic integers for $x^{d} + c$ in large degree

Unicritical polynomials over $ab c$ -fields: from uniform boundedness to dynamical Galois groups