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Author:

Chen, William Y

Title:

Moduli Interpretations for Noncongruence Modular Curves

Graduate Program:

Mathematics

Keywords:

number theory
arithmetic geometry
algebraic geometry
modular curves
galois theory
noncongruence subgroups
modular forms
unbounded denominators conjecture
elliptic curves
moduli problems

File:

Download Will_Chen_Dissertation.pdf

Committee Members:

Wen Ching Li, Dissertation Advisor/Co-Advisor

Author:

Springer, Caleb

Title:

Abelian varieties and decidability in number theory

Graduate Program:

Mathematics (PHD)

Keywords:

finite field
abelian variety
arithmetic geometry
number theory
decidability
definability
algorithm

File:

Download Springer-Dissertation.pdf

Committee Members:

Martin Fürer, Outside Unit & Field Member
Mihran Papikian, Major Field Member
Kirsten Eisentraeger, Chair & Dissertation Advisor
Carina Curto, Program Head/Chair
Linda Westrick, Major Field Member