4 papers
Distinguishing elliptic curves modulo and identifying images of product representations
Jessica Bennett, Jeffrey Hatley, Sasha Kononova +3
Given two elliptic curves defined over and a rational prime , we study the product of their residual Galois representations. Using Goursat's lemma, we explicitly en…
Chip-Firing Games on Banana Trees
Marchelle Beougher, Nila Cibu, Kexin Ding +6
We study chip-firing games on multigraphs whose underlying simple graphs are trees, paths, and stars, denoted as banana trees, paths, and stars respectively. We present a polynomia…
The gonality of chess graphs
Nila Cibu, Kexin Ding, Steven DiSilvio +4
Chess graphs encode the moves that a particular chess piece can make on an chessboard. We study through these graphs through the lens of chip-firing games and graph gon…
On the size and complexity of scrambles
Seamus Connor, Steven DiSilvio, Sasha Kononova +2
The scramble number of a graph, a natural generalization of bramble number, is an invariant recently developed to study chip-firing games and graph gonality. We introduce the carto…