Catalina Camacho-Navarro

activity

20182020

collaborators

3 papers

math.NT2020

The $a$ -number, $p$ -rank and Cartier points of genus 4 curves

Catalina Camacho-Navarro

We study genus $4$ curves over finite fields and two invariants of the $p$ -torsion part of their Jacobians: the $a$ -number ( $a$ ) and $p$ -rank ( $f$ ). We collect and analyze statisti…

math.NT2019

Adventures in Supersingularland

Sarah Arpin, Catalina Camacho-Navarro, Kristin Lauter +4

In this paper, we study isogeny graphs of supersingular elliptic curves. Supersingular isogeny graphs were introduced as a hard problem into cryptography by Charles, Goren, and Lau…

math.NT2018

Cycles in the supersingular $ℓ$ -isogeny graph and corresponding endomorphisms

Efrat Bank, Catalina Camacho-Navarro, Kirsten Eisentraeger +2

We study the problem of generating the endomorphism ring of a supersingular elliptic curve by two cycles in $ℓ$ -isogeny graphs. We prove a necessary and sufficient condition for…

The a-number, p-rank and Cartier points of genus 4 curves

Adventures in Supersingularland

Cycles in the supersingular ℓ-isogeny graph and corresponding endomorphisms

The $a$ -number, $p$ -rank and Cartier points of genus 4 curves

Cycles in the supersingular $ℓ$ -isogeny graph and corresponding endomorphisms