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This dissertation by Aaron Landesman explores geometry and moduli spaces related to low degree covers, with a primary focus on degree 2 covers and their connection to the Cohen-Lenstra heuristics. It consists of two main parts: the first part investigates n-torsion line bundles on degree 2 covers, while the second part examines various topics related to elliptic curves in algebraic geometry. The work is supported by the National Science Foundation and includes contributions from several collaborators.

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alugenembeng alugenembeng

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EN