Andrea Conti

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math.NT2026

Small points in radical extensions of number fields

Andrea Conti, Ilaria Del Corso, Arnaud Plessis +1

We study small points in radical extensions of algebraic fields. Given an algebraic extension $F$ of $Q$ , a finitely generated subgroup $Γ\subseteq \mathbb{F}^\ti…

math.NT2026

The Bogomolov property for $p$ -supercuspidal eigenforms

Andrea Conti, Pietro Piras, Lea Terracini

We prove a lower bound on the Weil height, the so-called Bogomolov property, for the algebraic extensions of $Q$ cut out by the adelic Galois representations attached to ce…

math.NT2024

$p$ -adic rigidity of eigenforms of infinite slope

Andrea Conti

We give a notion of $p$ -adic families of Hecke eigenforms that allows for the slope of the forms be infinite at $p$ . We prove that, contrary to the case of finite slope when every…

Small points in radical extensions of number fields

The Bogomolov property for p-supercuspidal eigenforms

p-adic rigidity of eigenforms of infinite slope

The Bogomolov property for $p$ -supercuspidal eigenforms

$p$ -adic rigidity of eigenforms of infinite slope