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Skip to Search Results- 2Topological recursion
- 1Algebraic geometry
- 1Atlantes Hurwitz
- 1Black Holes
- 1Elliptic
- 1Mathematical physics
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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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Spring 2019
In this thesis we aim to reveal characteristics of quantum gravity mainly from two different perspectives. In the first part we focus on quantum aspects of black holes, in particu- lar, the firewall paradox and nonlocality of quantum gravity. We present an explicit toy qubit transport model for...
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Spring 2017
We explore the connection between Eynard-Orantin Topological Recursion (EOTR) and the asymptotic solutions to differential equations constructed with the WKB method (named for its creators Wentzel, Kramers and Brillouin). Using the Airy spectral curve as an initial example, we propose a general...
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Fall 2022
The topological recursion is a construction in algebraic geometry that takes in the data of a so-called spectral curve, $\mathcal{S}=\left(\Sigma,x,y\right)$ where $\Sigma$ is a Riemann surface and $x,y:\Sigma\to\mathbb{C}_\infty$ are meromorphic, and recursively constructs correlators which, in...