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Author ORCID Identifier
https://orcid.org/0000-0002-3073-166X
AccessType
Open Access Dissertation
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
Recommended Citation
Day, Victoria L., "On the universal ordinary deformation ring for ordinary modular deformation problems" (2021). Doctoral Dissertations. 2298.
https://doi.org/10.7275/24579860
https://scholarworks.umass.edu/dissertations_2/2298