3 papers
math.NT2026
An algebro-geometric approach to profinite iterated monodromy groups
Daniel Tedeschi
We carefully construct the profinite iterated monodromy group of a rational map as a quotient of the étale fundamental group of the punctured projective line. In doing so, we prove…
math.NT2026
Counting metacyclic fields
Maddie Allen, Justine Dell, Milad Fakhari +3
By a metacyclic field we mean the Galois closure of a pure field , , of odd prime degree . Let denote the c…
math.NT2026
A Dynamical Lifting Problem For Additive Polynomials
Daniel Tedeschi
We introduce a dynamical analogue of the lifting problem for Galois covers of algebraic curves and find a negative solution for the collection of separable additive and semi-additi…