Ben Forrás

activity

20242026

collaborators

5 papers

math.NT2026

Iwasawa theory of CM elliptic curves at potentially supersingular primes

Ben Forrás, Antonio Lei

We develop a plus and minus Iwasawa theory for CM elliptic curves with potentially supersingular reduction at a prime $p \geq 5$ . We construct local points that satisfy suitable "jump…

math.NT2026

Class Number Relations in Abelian Extensions of Global Fields

Saad El Boukhari, Ben Forrás

Consider a finite abelian extension $K / k$ of global fields with Galois group $G$ . We study the rank-one component of the generalized Stickelberger module associated with $K / k$ and…

math.RA2026

On the Wedderburn decomposition of the total ring of quotients of certain Iwasawa algebras II

Ben Forrás

Let $G ≃ H ⋊ Γ$ be the semidirect product of a finite group $H$ and $Γ ≃ Z_{p}$ . Let $F / Q_{p}$ be a finite extension with ring of integers $\mathca…

math.RA2025

Graduated orders over completed group rings and conductor formulæ

Ben Forrás

We study graduated orders over completed group rings of $1$ -dimensional admissible $p$ -adic Lie groups, and verify the equivariant $p$ -adic Artin conjecture for such orders. Follow…

math.NT2024

On the cohomology of plus/minus Selmer groups of supersingular elliptic curves in weakly ramified base fields

Ben Forrás, Katharina Müller

Let $E / Q$ be an elliptic curve and let $p \geq 5$ be a prime of good supersingular reduction. We generalize results due to Meng Fai Lim proving Kida's formula and integralit…