A. Ferraguti

activity

20142026

most citedIrreducible compositions of degree two polynomials over finite fields have regular structure

14 citations · 45 across the 15 of their papers we have counts for

collaborators

21 papers

math.NT2026

$\Kab$ has the Bogomolov property for canonical heights

Andrea Ferraguti, Carlo Pagano

We show that for any number field $K$ and any rational map $f$ in $K (x)$ that is not conjugate to a power, (signed) Chebyshev or Lattès map, then $K^{ab}$ has the strong B…

math.NT2026

Abelian dynamical Galois groups over global function fields

Andrea Ferraguti, Patrick Ingram, Carlo Pagano

We establish a function field analogue of a recent conjecture of Andrews--Petsche. Our main result characterizes abelian dynamical Galois groups to be precisely the isotrivial ones…

math.NT2026

On the dynamical Galois group of certain affine polynomials in positive characteristic

Andrea Ferraguti, Guido Maria Lido

We use explicit class field theory of rational function fields to prove a dynamical criterion for a polynomial of the form $x^{p^{r}} + a x + b$ over a field of characteristic $p$ to have…

math.CO2024

Variants of the Erdős distinct sums problem and variance method

Simone Costa, Stefano Della Fiore, Andrea Ferraguti

Let $Σ = {a_{1}, \dots, a_{n}}$ be a set of positive integers with $a_{1} < \dots < a_{n}$ such that all $2^{n}$ subset sums are pairwise distinct. A famous conjecture of Erdős states tha…

cs.IT2023

Number Theoretical Locally Recoverable Codes

Andrea Ferraguti, Dorian Goldfeld, Giacomo Micheli

In this paper we give constructions for infinite sequences of finite non-linear locally recoverable codes $C \subseteq i = 1 \prod N F_{q_{i}}$ over a product o…

math.NT2023

Abelian dynamical Galois groups for unicritical polynomials

Andrea Ferraguti, Carlo Pagano

Andrews and Petsche proposed in 2020 a conjectural characterization of all pairs $(f, α)$ , where $f$ is a polynomial over a number field $K$ and $α \in K$ , such that the dynamical Ga…