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Obstructed Deformation Problems and (mod l) Congruences between Elliptic Curves

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Abstract
In this PhD Thesis, we study possible obstructed deformations of 2-dimensional Galois representations attached to newforms of weight 2 and level N with trivial nebentype. We provide conditions for the existence of local and global obstructions, and give an explicit description of the universal deformation ring in several cases.
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Dissertation (Open Access)
Date
2025-05
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Attribution-ShareAlike 4.0 International
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http://creativecommons.org/licenses/by-sa/4.0/
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