Jeremy A. Rouse

activity

20072023

most citedGalois theory of iterated endomorphisms

44 citations · 123 across the 26 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.NT2021★ 29 cited

$ℓ$ -adic images of Galois for elliptic curves over $Q$

Jeremy Rouse, Andrew V. Sutherland, David Zureick-Brown

We discuss the $ℓ$ -adic case of Mazur's "Program B" over $Q$ , the problem of classifying the possible images of $ℓ$ -adic Galois representations attached to elliptic…

math.NT2021

Integers that are sums of two rational sixth powers

Alexis Newton, Jeremy Rouse

We prove that $164634913$ is the smallest positive integer that is a sum of two rational sixth powers but not a sum of two integer sixth powers. If $C_{k}$ is the curve $x^{6} + y^…

ℓ-adic images of Galois for elliptic curves over Q

Integers that are sums of two rational sixth powers

$ℓ$ -adic images of Galois for elliptic curves over $Q$