Andrea Conti

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20242026

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math.NT2026

$L$ -invariants and deep congruences between newforms

Andrea Conti, Peter Mathias Gräf

We study congruences modulo powers of a prime $p$ between pairs of $p$ -new modular Hecke eigenforms of level $Γ_{0} (p)$ and same weight $k$ . Based on explicit computations, we conjec…

math.NT2025

Bogomolov property for Galois representations with big local image

Andrea Conti, Lea Terracini

An algebraic extension of the rational numbers is said to have the $Bogomolov property$ (B) if the absolute logarithmic Weil height of its non-torsion elements is uniforml…

math.NT2024

Lattices in rigid analytic representations

Andrea Conti, Emiliano Torti

For a profinite group $G$ and a rigid analytic space $X$ , we study when an $O_{X} (X)$ -linear representation $V$ of $G$ admits a lattice, i.e. an $\mathcal O_{\mathcal X(\mat…

math.NT2024

Lifting Galois representations via Kummer flags

Andrea Conti, Cyril Demarche, Mathieu Florence

Let $Γ$ be either i) the absolute Galois group of a local field $F$ , or ii) the topological fundamental group of a closed connected orientable surface of genus $g$ . In case i), ass…

L-invariants and deep congruences between newforms

Bogomolov property for Galois representations with big local image

Lattices in rigid analytic representations

Lifting Galois representations via Kummer flags

$L$ -invariants and deep congruences between newforms