Andrew Bridy

Automatic sequences and curves over finite fields

We prove that if

Dynamically Distinguishing Polynomials

y=\sum_{n=0}^\infty{\bf a}(n)x^n\in\mathbb{F}_q[[x]]

A count of maximal small copies in Multibrot sets

is an algebraic power series of degree

Finite index theorems for iterated Galois groups of cubic polynomials

d

The Generalized Nagell–Ljunggren Problem: Powers with Repetitive Representations

, height

On the number of distinct functional graphs of affine-linear transformations over finite fields

h

Finite ramification for preimage fields of post-critically finite morphisms

, and genus

Finite index theorems for iterated Galois groups of unicritical polynomials.

g

The cycle structure of unicritical polynomials

, then the sequence

The Artin-Mazur Zeta Function of a Dynamically Affine Rational Map in Positive Characteristic

{\bf a}