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Author ORCID Identifier
N/A
AccessType
Open Access Dissertation
Document Type
dissertation
Degree Name
Doctor of Philosophy (PhD)
Degree Program
Mathematics
Year Degree Awarded
2015
Month Degree Awarded
May
First Advisor
Tom Weston
Second Advisor
Farshid Hajir
Third Advisor
Siman Wong
Subject Categories
Number Theory
Abstract
For a cuspidal newform f of weight k at least 3 and a prime p of the associated number field Kf, the deformation problem for its associated mod p Galois representation is unobstructed for all primes outside some finite set. Previous results gave an explicit bound on this finite set for f of squarefree level; we modify this bound and remove the squarefree hypothesis. We also show that if the p-adic deformation problem for f is unobstructed, then f is not congruent mod p to a newform of lower level.
DOI
https://doi.org/10.7275/6882355.0
Recommended Citation
Hatley, Jeffrey Jr, "Obstruction criteria for modular deformation problems" (2015). Doctoral Dissertations. 364.
https://doi.org/10.7275/6882355.0
https://scholarworks.umass.edu/dissertations_2/364