Timo Keller

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20242026

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math.NT2026

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.NT2024

On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction

Timo Keller, Mulun Yin

Let $f$ be a newform of weight $k = 2 r$ and level $N$ with trivial nebentypus. Let $p ∤ 2 N$ be a maximal ideal of the ring of integers of the coefficient field of $f$ s…

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

On the anticyclotomic Iwasawa theory of newforms at Eisenstein primes of semistable reduction

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