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2006

Lee, Jung Min, 1968-

2008

Desaulniers, Shawn

Fall 2018

Dong Yang

With the development of modern technology, researchers in various fields are equipped with powerful tools to collect ultrahigh dimensional data, where the number of features p could grow exponentially with the sample size n. It is challenging to extract useful information due to the huge number...

Spring 2021

Budd, Valerie Gayle

Let G be a semi-simple algebraic group over the complex numbers, B a Borel subgroup, and T a maximal torus contained in B. In the first part of this thesis, we examine the singular loci of rationally smooth T-orbit closures X (of some point x) in the flag variety G/B in types A and D. In type A,...

Fall 2019

Wendlandt, Curtis

In the first part of this dissertation, we prove a generalization of a theorem of Drinfeld’s which allows one to rebuild the Yangian of an arbitrary simple Lie algebra starting from any of its finite-dimensional modules satisfying a non-triviality condition. This is achieved using the so-called...

Fall 2013

Zeng, Linghang

This thesis focuses on characterizing an optimal trading strategy for a large trader, who has to buy (or sell) a fixed large volume over a given time period. We propose a model in discrete time, based on VWAP (Volume Weighted Average Price). The objective is to minimize expected deviations...

Fall 2014

Wang,Xiaozhou

Two types of robust designs, robust design against a misspecified response function and robust design against autocorrelation, are reviewed in the first chapter of this dissertation. Among robust designs against autocorrelation, this dissertation focuses on V-robust designs. Chapter 2 reviews and...

Fall 2013

Somayaji, Chandana R

The Kelvin-Helmholtz instability is the inertial destabilization of a parallel shear flow in a density stratified fluid under the influence of gravity. For example, this type of instability manifests itself as surface waves in the ocean when wind blows over the water surface. In this thesis we...

2008

Ruan, Haibo, 1980-

Fall 2023

Salmaniw, Yurij

Habitat loss is a significant problem and the leading cause of species extinctions and decreases in biodiversity worldwide. This issue is primarily driven by human activities, making it crucial to understand the consequences of our actions as a global community. The empirical study of habitat...