Katharina Müller

collaborators

3 papers

math.NT2025

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

Ben ForrÃ¡s, Katharina MÃ¼ller

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…

math.NT2024

On towers of Isogeny graphs with full level structure

Antonio Lei, Katharina MÃ¼ller

Let $p, q, l$ be three distinct prime numbers and let $N$ be a positive integer coprime to $pq l$ . For an integer $n \geq 0$ , we define the directed graph $X_{l}^{q} (p^{n} N)$ whose vertices a…

math.NT2024

On ordinary isogeny graphs with level structure

Antonio Lei, Katharina MÃ¼ller

Let $l$ and $p$ be two distinct prime numbers. We study $l$ -isogeny graphs of ordinary elliptic curves defined over a finite field of characteristic $p$ , together with a level stru…