1. Moduli Interpretations for Noncongruence Modular Curves Open Access Author: Chen, William Y Title: Moduli Interpretations for Noncongruence Modular Curves Graduate Program: Mathematics Keywords: number theoryarithmetic geometryalgebraic geometrymodular curvesgalois theorynoncongruence subgroupsmodular formsunbounded denominators conjectureelliptic curvesmoduli problems File: Download Will_Chen_Dissertation.pdf Committee Members: Wen Ching Li, Dissertation Advisor/Co-Advisor
2. 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