2 citations · 4 across the 6 of their papers we have counts for
7 papers
Golod--Shafarevich for arithmetic surfaces
Timo Keller, Carlo Pagano
We construct Golod--Shafarevich towers of arithmetic surfaces over the integers. In particular, we obtain an arithmetic surface with a section and infinite geometric etale fundamen…
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…
-converse theorems for elliptic curves of potentially good ordinary reduction at Eisenstein primes
Timo Keller, Mulun Yin
Let be an elliptic curve and be a prime. We prove the -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
Timo Keller, Mulun Yin
Let be a newform of weight and level with trivial nebentypus. Let be a maximal ideal of the ring of integers of the coefficient field of s…
Complete verification of strong BSD for many modular abelian surfaces over
Timo Keller, Michael Stoll
We develop the theory and algorithms necessary to be able to verify the strong Birch--Swinnerton-Dyer Conjecture for absolutely simple modular abelian varieties over .…
Exact verification of the strong BSD conjecture for some absolutely simple abelian surfaces
Timo Keller, Michael Stoll
Let be one of the Atkin-Lehner quotients of a curve such that has genus and its Jacobian variety is absolutely simple. We show that the Shafarevich-Ta…
Comparison of different Tate conjectures
Veronika Ertl, Timo Keller, Yanshuai Qin
For an abelian variety over a finitely generated field of characteristic , we prove that the algebraic rank of is at most a suitably defined analytic rank. Moreo…