Chifan Leung

collaborators

3 papers

math.NT2025

The Minkowski dimension of the image of an arboreal Galois representation

Chifan Leung, Clayton Petsche

We consider the Minkowski dimension of the arboreal Galois group $G_{f, I^\pm}$ associated to a rational map $f : P^{1} \to P^{1}$ and a base point $I^\pm \in P^{1} (K)$ . Th…

math.NT2024

Arboreal Galois groups of rational maps with nonreal Julia sets

Chifan Leung

We prove a non-abelian arboreal Galois group result for certain maps with non-real Julia set at an archimedean place. We investigate the question of determining which polynomials d…

math.NT2024

Non-abelian arboreal Galois groups associated to PCF rational maps

Chifan Leung, Clayton Petsche

We prove that arboreal Galois extensions of number fields are never abelian for post-critically finite rational maps and non-preperiodic base points. For polynomials, this establis…