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Open Access Dissertation
Doctor of Philosophy (PhD)
Year Degree Awarded
Month Degree Awarded
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.
Hatley, Jeffrey Jr, "Obstruction criteria for modular deformation problems" (2015). Doctoral Dissertations. 364.