1. Quaternion algebras and elliptic curves over function fields of finite characteristic Open Access Author: Flynn, Ryan Thomas Title: Quaternion algebras and elliptic curves over function fields of finite characteristic Graduate Program: Mathematics Keywords: elliptic curveshimura curvequaternion algebrafunction fieldnumber theoryuniformizationautomorphic form File: Download Ryan_Flynn_PhD_Thesis.pdf Committee Members: Mihran Papikian, Dissertation Advisor/Co-AdvisorMihran Papikian, Committee Chair/Co-ChairWen Ching W Li, Committee MemberA Kirsten Eisentraeger, Committee MemberEmily Rolfe Grosholz, Special Member
2. Hyperelliptic Jacobians and their associated $\ell$-adic Galois representations Open Access Author: Yelton, Jeffrey Samuel Title: Hyperelliptic Jacobians and their associated $\ell$-adic Galois representations Graduate Program: Mathematics Keywords: abelian varietyelliptic curveGalois theory File: Download thesis.pdf Committee Members: Yuri Zarhin, Dissertation Advisor/Co-AdvisorMihran Papikian, Committee MemberWen Ching Li, Committee MemberDonald Richards, Special Member