1. Local-global principles and diophantine sets in rings of number-theoretic interest Open Access Author: Morrison, Travis William Title: Local-global principles and diophantine sets in rings of number-theoretic interest Graduate Program: Mathematics Keywords: class field theoryhasse principlediophantinedecidability File: Download Morrison-Dissertation.pdf Committee Members: Anne Kirsten Eisentraeger, Dissertation Advisor/Co-AdvisorAnne Kirsten Eisentraeger, Committee Chair/Co-ChairWen-Ching Winnie Li, Committee MemberJan Severin Reimann, Committee MemberEmily Rolfe Grosholz, Outside Member