Date of Award

Spring 1-1-2016

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

Department

Mathematics

First Advisor

Sebastian Casalaina-Martin

Second Advisor

Jonathan Wise

Third Advisor

Markus Pflaum

Fourth Advisor

Samouil Molcho

Fifth Advisor

Renzo Cavalieri

Abstract

Recent work on the log-minimal model program for the moduli space of curves, as well as past results of Caporaso, Pandharipande, and Simpson motivate an investigation of compactifications of the universal moduli space of slope semi-stable vector bundles over moduli spaces of curves arising in the Hassett{Keel program. Our main result is the construction of a compactification of the universal moduli space of vector bundles over several of these moduli spaces, along with a complete description in the case of pseudo-stable curves.

Included in

Mathematics Commons

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