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- 2topological recursion
- 1abstract algebra
- 1airy ideals
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Fall 2020
In this thesis, we study some aspects of algebraic geometry that have had a significant influx of ideas from physics. The first part focuses on the Eynard- Orantin topological recursion and its variants as a theory of enumerative ge- ometry. We investigate the conjectural relationship between the...
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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...