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Author ORCID Identifier

https://orcid.org/0000-0002-3073-166X

AccessType

Campus-Only Access for One (1) Year

Document Type

dissertation

Degree Name

Doctor of Philosophy (PhD)

Degree Program

Mathematics

Year Degree Awarded

2021

Month Degree Awarded

September

First Advisor

Tom Weston

Subject Categories

Number Theory

Abstract

Let f be an ordinary newform of weight k at least 3 and level N. Let p be a prime of the number field generated by the Fourier coefficients of f. Assume that f is p-ordinary. We consider the residual mod p Galois representation coming from f and prove that for all but finitely many primes the associated universal ordinary deformation ring is isomorphic to a one variable power series ring.

DOI

https://doi.org/10.7275/24579860

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