Preston Wake

collaborators

2 papers

math.NT2025

The Eisenstein ideal at prime-square level has constant rank

Jaclyn Lang, Preston Wake

Let $N$ and $p$ be prime numbers with $p \geq 5$ such that $p ∣∣ (N + 1)$ . In a previous paper, we showed that there is a cuspform $f$ of weight 2 and level $Γ_{0} (N^{2})$ whose $ℓ$ …

math.NT2021

A modular construction of unramified $p$ -extensions of $Q (N^{1/ p})$

Jaclyn Lang, Preston Wake

We show that for primes $N, p \geq 5$ with $N \equiv - 1 mod p$ , the class number of $Q (N^{1/ p})$ is divisible by $p$ . Our methods are via congruences between Eisenstein…

The Eisenstein ideal at prime-square level has constant rank

A modular construction of unramified p-extensions of Q(N1/p)

A modular construction of unramified $p$ -extensions of $Q (N^{1/ p})$