Katharina Muller

activity

20242026

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3 papers · 1 filter

math.NT2026

A new perspective on the rank of Mazur's Eisenstein Hecke algebra

Jaclyn Lang, Katharina Müller, Bharathwaj Palvannan

Let $N, p \geq 5$ be primes such that $N \equiv 1 mod p$ . We study the rank $r$ of the Hecke algebra that parametrizes modular forms of weight 2 and level $N$ that are Eisenstein…

math.NT2026

Bowen--Franks groups and minus class groups of cyclotomic number fields with prime conductor

Antonio Lei, Katharina Müller, Daniel Vallières

Let $p$ be an odd rational prime and consider the cyclotomic number field $K = Q (ζ_{p})$ of conductor $p$ . We construct a directed graph $Y$ on $p - 1$ vertices for which th…

math.NT2026

Iwasawa theory for abelian towers of digraphs

Antonio Lei, Katharina Müller

Let $p$ and $ℓ$ be prime numbers, and $d \geq 1$ an integer. We formulate and prove Iwasawa main conjectures of the Picard groups and Bowen--Franks groups in $Z_{p}^{d}$ -tower…