9 citations · 33 across the 13 of their papers we have counts for
7 papers · 1 filter
Computing nonsurjective primes associated to Galois representations of genus curves
Barinder S. Banwait, Armand Brumer, Hyun Jong Kim +4
For a genus curve over whose Jacobian admits only trivial geometric endomorphisms, Serre's open image theorem for abelian surfaces asserts that there are o…
Subspace configurations and low degree points on curves
Borys Kadets, Isabel Vogt
This paper is devoted to understanding curves over a number field that possess infinitely many solutions in extensions of of degree at most ; such solutions are the…
A transcendental Brauer-Manin obstruction to weak approximation on a Calabi-Yau threefold
Sachi Hashimoto, Katrina Honigs, Alicia Lamarche +1
In this paper we investigate the -rational points of a class of simply connected Calabi-Yau threefolds, which were originally studied by Hosono and Takagi in the contex…
Low degree points on curves
Geoffrey Smith, Isabel Vogt
In this paper we investigate an arithmetic analogue of the gonality of a smooth projective curve over a number field : the minimal such there are infinitely many points…
A Local-global principle for isogenies of composite degree
Isabel Vogt
Let be an elliptic curve over a number field . If for almost all primes of , the reduction of modulo that prime has rational cyclic isogeny of fixed degree, we can as…
Constants in Titchmarsh divisor problems for elliptic curves
Renee Bell, Clifford Blakestad, Alina Carmen Cojocaru +5
Inspired by the analogy between the group of units of the finite field with elements and the group of points of an elliptic curve $E/\…
Powers in Lucas Sequences via Galois Representations
Jesse Silliman, Isabel Vogt
Let be a nondegenerate Lucas sequence. We generalize the results of Bugeaud, Mignotte, and Siksek, 2006 to give a systematic approach towards the problem of determining all p…