Ben Forrás

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20242026

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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.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…