1. Horizontal isogenies and endomorphism rings of supersingular elliptic curves Open Access Author: Scullard, Gabrielle Title: Horizontal isogenies and endomorphism rings of supersingular elliptic curves Graduate Program: Mathematics Keywords: elliptic curvesisogeniesarithmetic geometryabelian varietiesnumber theory File: Download Thesis.pdf Committee Members: Pierre-Emmanuel Jabin, Program Head/ChairAntonio Blanca, Outside Unit & Field MemberMihran Papikian, Major Field MemberKirsten Eisentraeger, Chair & Dissertation AdvisorWen-Ching Li, Major Field Member