3 papers
math.NT2022
Extending a problem of Pillai to Gaussian lines
Elsa Magness, Brian Nugent, Leanne Robertson
Let be a primitive Gaussian line, that is, a line in the complex plane that contains two, and hence infinitely many, coprime Gaussian integers. We prove that there exists an in…
math.NT2020
Walking to infinity on gaussian lines
Elsa Magness, Brian Nugent, Leanne Robertson
We study analogies between the rational integers on the real line and the Gaussian integers on other lines in the complex plane. This includes a Gaussian analog of Bertrands Postul…
math.GT2017
Knot Fertility and Lineage
Jason Cantarella, Allison Henrich, Elsa Magness +4
In this paper, we introduce a new type of relation between knots called the descendant relation. One knot is a descendant of another knot if can be obtained from a mini…