9 citations · 25 across the 5 of their papers we have counts for
5 papers
Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields
Jennifer S. Balakrishnan, L. Alexander Betts, Daniel Rayor Hast +2
Thanks to work of Rouse, Sutherland, and Zureick-Brown, it is known exactly which subgroups of GL can occur as the image of the -adic Galois representation att…
Explicit two-cover descent for genus 2 curves
Daniel Rayor Hast
Given a genus curve with a rational Weierstrass point defined over a number field, we construct a family of genus curves that realize descent by maximal unramified abel…
Functional transcendence for the unipotent Albanese map
Daniel Rayor Hast
We prove a certain transcendence property of the unipotent Albanese map of a smooth variety, conditional on the Ax-Schanuel conjecture for variations of mixed Hodge structure. We s…
Rational points on solvable curves over via non-abelian Chabauty
Jordan S. Ellenberg, Daniel Rayor Hast
We study the Selmer varieties of smooth projective curves of genus at least two defined over which geometrically dominate a curve with CM Jacobian. We extend a result…
Higher moments of arithmetic functions in short intervals: a geometric perspective
Daniel Hast, Vlad Matei
We study the geometry associated to the distribution of certain arithmetic functions, including the von Mangoldt function and the Möbius function, in short intervals of polynomials…