Katherine E. Stange

activity

20072026

most citedAmicable pairs and aliquot cycles for elliptic curves

33 citations · 218 across the 26 of their papers we have counts for

collaborators

Showing 2015 · math.NTShow all

3 papers · 2 filters

math.NT2015

Ring-LWE Cryptography for the Number Theorist

Yara Elias, Kristin E. Lauter, Ekin Ozman +1

In this paper, we survey the status of attacks on the ring and polynomial learning with errors problems (RLWE and PLWE). Recent work on the security of these problems [Eisenträger-…

math.NT2015

The Apollonian structure of Bianchi groups

Katherine E. Stange

We study the orbit of $R$ under the Möbius action of the Bianchi group $PSL_{2} (O_{K})$ on $C$ , where $O_{K}$ is…

math.NT2015

Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre)

Alina Carmen Cojocaru, Rachel Davis, Alice Silverberg +1

Let $A$ be an abelian variety over $Q$ of dimension $g$ such that the image of its associated absolute Galois representation $ρ_{A}$ is open in $\operatorname{GSp}_{2g}(\hat…