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Fall 2022
In this thesis we study some aspects of `Airy structures' first proposed in \cite{ks}, as an algebraic reformulation of the Chekhov-Eynard-Orantin (CEO) topological recursion initiated in \cite{eo} and \cite{eo1} in order to study the large $N$ expansion of matrix models. Our primary goal is to...
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Fall 2018
This thesis is about the theory of vertex operator algebras and their representations. Its main results provide new examples of logarithmic C2-cofinite vertex operator algebras. These include closure of the characters under modular transformations with explicit determination of the modular...