A. Ferraguti

activity

20172021

collaborators

6 papers

cs.IT2021

Optimal Selection for Good Polynomials of Degree up to Five

Austin Dukes, Andrea Ferraguti, Giacomo Micheli

Good polynomials are the fundamental objects in the Tamo-Barg constructions of Locally Recoverable Codes (LRC). In this paper we classify all good polynomials up to degree $5$ , pro…

math.NT2020

Constraining images of quadratic arboreal representations

Andrea Ferraguti, Carlo Pagano

In this paper, we prove several results on finitely generated dynamical Galois groups attached to quadratic polynomials. First we show that, over global fields, quadratic post-crit…

math.NT2020

Exceptional scatteredness in prime degree

Andrea Ferraguti, Giacomo Micheli

Let $q$ be an odd prime power and $n$ be a positive integer. Let $ℓ \in F_{q^{n}} [x]$ be a $q$ -linearised $t$ -scattered polynomial of linearized degree $r$ . Let $d=\max\{t,…

math.NT2019

An equivariant isomorphism theorem for mod $p$ reductions of arboreal Galois representations

Andrea Ferraguti, Giacomo Micheli

Let $ϕ$ be a quadratic, monic polynomial with coefficients in $O_{F, D} [t]$ , where $O_{F, D}$ is a localization of a number ring $O_{F}$ . In this paper, we f…

math.NT2018

Full Classification of permutation rational functions and complete rational functions of degree three over finite fields

Andrea Ferraguti, Giacomo Micheli

Let $q$ be a prime power, $F_{q}$ be the finite field of order $q$ and $F_{q} (x)$ be the field of rational functions over $F_{q}$ . In this paper we classify all r…

math.NT2017

Strongly modular models of $Q$ -curves

Peter Bruin, Andrea Ferraguti

Let $E$ be a $Q$ -curve without complex multiplication. We address the problem of deciding whether $E$ is geometrically isomorphic to a strongly modular $Q$ -curve. W…

Optimal Selection for Good Polynomials of Degree up to Five

Constraining images of quadratic arboreal representations

Exceptional scatteredness in prime degree

An equivariant isomorphism theorem for mod p reductions of arboreal Galois representations

Full Classification of permutation rational functions and complete rational functions of degree three over finite fields

Strongly modular models of Q-curves

An equivariant isomorphism theorem for mod $p$ reductions of arboreal Galois representations

Strongly modular models of $Q$ -curves