Timo Keller

collaborators

3 papers

math.NT2024

The constructive inverse Galois problem via Hilbert modular forms: realizing the transitive group 17T7

Raymond van Bommel, Edgar Costa, Noam D. Elkies +3

We show how Hilbert modular forms can be used in the constructive inverse Galois problem over the rationals. In particular, we prove that the transitive permutation group 17T7, iso…

math.NT2024

$p$ -converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes

Timo Keller, Mulun Yin

Let $E / Q$ be an elliptic curve and $p \geq 3$ be a prime. We prove the $p$ -converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes…

math.NT2021

Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces

Timo Keller, Michael Stoll

Let $X$ be one of the $28$ Atkin-Lehner quotients of a curve $X_{0} (N)$ such that $X$ has genus $2$ and its Jacobian variety $J$ is absolutely simple. We show that the Shafarevich-Ta…

The constructive inverse Galois problem via Hilbert modular forms: realizing the transitive group 17T7

p-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes

Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces

$p$ -converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes