A. Plessis

activity

20192026

most citedA new way to tackle a conjecture of Rémond

1 citations · 1 across the 6 of their papers we have counts for

collaborators

8 papers

math.NT2026

Classification of vanishing fusion rings of rank four

Jingcheng Dong, Sébastien Palcoux, Sebastien Palcoux +1

A fusion ring is said to be vanishing if one of its multiplication matrices has determinant zero. We classify all vanishing fusion rings of rank four. We then provide a more explic…

math.QA2026

Classifying Grothendieck rings of pivotal fusion categories of rank four

Jingcheng Dong, Sebastien Palcoux, Arnaud Plessis

We classify the Classifying Grothendieck rings of pivotal fusion categories of rank four over the complex field. There are exactly fifteen, each admitting a unitary categorificatio…

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.NT2025

Lower bounds for heights on some algebraic dynamical systems

Arnaud Plessis, Satyabrat Sahoo

Let $v$ be a finite place of a number field $K$ and write $K^{n r, v}$ for the maximal field extension of $K$ in which $v$ is unramified. The purpose of this paper is split up into t…

math.NT2023

Equidistribution for sets which are not necessarily Galois stable: On a theorem of Mignotte

Francesco Amoroso, Arnaud Plessis

An important result of Bilu deals with the equidistribution of the Galois orbits of a sequence $(α_{n})_{n}$ in $Q^{*}$ . Here, we prove a quantitative equidistributio…

math.NT2022★ 1 cited

A new way to tackle a conjecture of Rémond

Arnaud Plessis

Let $Γ \subset Q ˉ^{*}$ be a finitely generated subgroup. Denote by $Γ_{div}$ its division group. A recent conjecture due to Rémond, related to the Zilber-Pink con…

math.NT2021

Bogomolov Property of some infinite nonabelian extensions of a totally $v$ -adic field

Arnaud Plessis

Let $E$ be an elliptic curve defined over a number field $K$ and let $v$ be a finite place of $K$ . Write $K^{t v}$ the maximal extension of $K$ in which $v$ is totally split and $L$ …

math.NT2019

Location of small points on an elliptic curve by an equidistribution argument

Arnaud Plessis

Let $E$ be an elliptic curve defined over a number field $K$ without complex multiplication. If $Γ \subset E (K)$ is a subgroup of finite rank, a very special case of a co…

Classification of vanishing fusion rings of rank four

Classifying Grothendieck rings of pivotal fusion categories of rank four

Small points in radical extensions of number fields

Lower bounds for heights on some algebraic dynamical systems

Equidistribution for sets which are not necessarily Galois stable: On a theorem of Mignotte

A new way to tackle a conjecture of Rémond

Bogomolov Property of some infinite nonabelian extensions of a totally v-adic field

Location of small points on an elliptic curve by an equidistribution argument

Bogomolov Property of some infinite nonabelian extensions of a totally $v$ -adic field