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Skip to Search Results- 7Frei, Christoph (Mathematical and Statistical Sciences)
- 7Kong, Linglong (Mathematical and Statistical Sciences)
- 7Lewis, Mark (Mathematical and Statistical Sciences)
- 6Han, Bin (Mathematical and Statistical Sciences)
- 6Hillen, Thomas (Mathematical and Statistical Sciences)
- 6Mizera, Ivan (Mathematical and Statistical Sciences)
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Fall 2023
The aim of this thesis is to provide an exposition to Mochizuki and Hoshi's approach to birational anabelian geometry of mixed characteristic local fields. In the introductory chapter, we begin by recalling the relevant backgrounds on the Grothendieck conjectures on the étale fundamental groups...
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Spring 2017
This study focuses on the motion of a hollow flexible tube conveying a flowing fluid, also known as the garden-hose instability. This system becomes unstable when the fluid moving through the pipe exceeds a critical flow rate. This non-linear dynamical system involves complex fluid-structure...
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Fall 2015
In this thesis, we present expositions of Gromov-Witten invariants, Hurwitz numbers, topological recursion and their connections. By remodeling theory, open Gromov-Witten invariants of C^3 and C^3/Za satisfy the topological recursion of Eynard-Orantin defined on framed mirror curve of toric...
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On intersection theory, Severi-Brauer varieties, and the intersection theory of Severi-Brauer varieties
DownloadFall 2019
This thesis investigates the Chow ring, and neighboring functors, of a Severi-Brauer variety. The approach taken here heavily depends on the computation of lower K-groups of a Severi-Brauer variety.We construct a functor (for an arbitrary scheme essentially of finite type over a field) that is a...
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Spring 2016
This thesis investigates efficient and robust estimators for binomial regression models. For this purpose, I have made use of two minimum distance estimation methods developed for discrete data, namely Minimum Hellinger Distance Estimation (MHDE) and Symmetric Chi-squared Distance Estimation...
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Fall 2013
In this thesis, two robust and efficient methods of estimation are examined in dose-response studies context. In particular, we investigate the minimum Hellinger distance estimation and symmetric chi-squared distance methods of estimation. We support our theoretical results with extensive finite...
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On Multivariate Quantile Regression: Directional Approach and Application with Growth Charts
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In this thesis, we introduce a concept of directional quantile envelopes, the intersection of the halfspaces determined by directional quantiles, and show that they allow for explicit probabilistic interpretation, compared to other multivariate quantile concepts. Directional quantile envelopes...
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Fall 2016
In this thesis, we are focusing on developing an efficient simulation algorithm to price the path-dependent options, which remains a challenging problem in derivatives finance. The Heston model, a widely used stochastic volatility model, will first be introduced. Then, we will discuss and...