179 citations · 759 across the 49 of their papers we have counts for
4 papers · 1 filter
Explicit isogeny descent on elliptic curves
R. L. Miller, M. Stoll
In this note, we consider an l-isogeny descent on a pair of elliptic curves over Q. We assume that l > 3 is a prime. The main result expresses the relevant Selmer groups as kernels…
Curves on the surface of cuboids
Michael Stoll, Damiano Testa
We study the surface parametrizing cuboids: it is defined by the equations relating the sides, face diagonals and long diagonal of a rectangular box. It is an open proble…
Rational points on curves
Michael Stoll
This is an extended version of an invited lecture I gave at the Journees Arithmetiques in St. Etienne in July 2009. We discuss the state of the art regarding the problem of finding…
How to Solve a Diophantine Equation
Michael Stoll
These notes represent an extended version of a talk I gave for the participants of the IMO 2009 and other interested people. We introduce diophantine equations and show evidence th…