# Theses and Dissertations

## Recent Theses

## 2018

**Melinda Kleczynski**Master of Science in Mathematical Sciences

Advisor: Allan Struthers

Thesis Title: Pseudo-Companion Matrices for Polynomial Systems

**Fadhila Yosof**Master of Science in Mathematical Sciences

Advisor: Qiuying Sha

Thesis Title: CUR Matrix Decomposition Method for Joint Analysis of Multiple Phenotypes

## 2017

**Joshua Davies**Master of Science in Mathematical Sciences

Advisor: William Keith

Thesis Title: Distribution of Permutation Statistics Across Pattern Avoidance Classes, and the Search for a Denert-Associated Condition Equivalent to Pattern Avoidance

**Qiuchen Hai**Master of Science in Mathematical Sciences

Advisor: Jianping Dong

Thesis Title: On the Equivalence Between Bayesian and Frequentist Nonparametric Hypothesis Testing

**Mitchell Tahtinen**Master of Science in Mathematical Sciences

Advisor: Kui Zhang

Thesis Title: Analysis of Data from a Study to Identify Potential Biomarkers to Indicate Renal Injury

**Teresa Woods**Master of Science in Mathematical Sciences

Advisors: Shari Stockero/Yeonwoo Rho

Thesis Title: Analysis of Aleks Mathematics Placement Test Data

## 2016

**Anna Pascoe**Master of Science in Mathematical Sciences

Advisor: Shari Stockero

Thesis Title: Learning to Notice and Use Student Thinking in Undergraduate Mathematics Courses

**Dilek Erkmen**Master of Science in Mathematical Sciences

Advisor: Alexander Labovsky

Thesis Title: Defect-Deferred Correction Method for the Two-Domain Convection-Dominated Convection-Diffusion Problem

**Henriette Groenvik**Master of Science in Mathematical Sciences

Advisor: Yeonwoo Rho

Thesis Title: A Self-Normalizing Approach to the Specification Test of Mixed-Frequency Models

**Mustafa Aggul**

Master of Science in Mathematical Sciences

Advisor: Alexander Labovsky

Thesis Title: A High Accuracy Minimally Invasive Regularization Technique for Navier-Stokes
Equations at High Reynolds Number

**Shengnan Li**

Master of Science in Mathematical Sciences

Advisor: Min Wang

Thesis Title: Objective Bayesian Analysis of a Generalized Lognormal Distribution

## Recent Dissertations

## 2018

**Samuel Judge**PhD in Mathematical Sciences

Advisor: Fabrizio Zanello

Dissertation Title: On the Density of the Odd Values of the Partition Function

**Xiaoyu Liang**PhD in Mathematical Sciences

Advisors: Shuanglin Zhang/Qiuying Sha

Dissertation Title: Joint Analysis of Multiple Phenotypes in Association Studies

**Zhenchuan Wang**PhD in Mathematical Sciences

Advisors: Shuanglin Zhang/Qiuying Sha

Dissertation Title: Joint Analysis for Multiple Traits

**Xinlan Yang**PhD in Mathematical Sciences

Advisor: Qiuying Sha

Dissertation Title: Statistical Methods for Detecting Causal Rare Variants and Analyzing Multiple Phenotypes

**Huanhuan Zhu**PhD in Mathematical Sciences

Advisors: Shuanglin Zhang/Qiuying Sha

Dissertation Title: Statistical Methods for Analyzing Multivariate Phenotypes and Detecting Causal Rare Variants

## 2017

**Ala Alzaalig**PhD in Mathematical Sciences

Advisor: Jiguang Sun

Dissertation Title: Direct Sampling Methods for Inverse Scattering Problems

**Bryan Freyberg**PhD in Mathematical Sciences

Advisors: Melissa Keranen/Dalibor Froncek

Dissertation Title: Distance Magic/Antimagic Type Labelings

**Mustafa Gezek**PhD in Mathematical Sciences

Advisors: Vladimir Tonchev

Dissertation Title: Combinatorial Problems Related to Codes, Designs and Finite Geometries

**Olabanji Shonibare**PhD in Mathematical Sciences

Advisors: Kathleen Feigl/Franz Tanner

Dissertation Title: Numerical Simulation of Viscoelastic Multiphase Flows Using an Improved Adaptive Approach

**Samer Alokaily**PhD in Mathematical Sciences

Advisors: Kathleen Feigl/Franz Tanner

Dissertation Title: Modeling and Simulation of the Peristaltic Flow of Newtonian and Non-Newtonian Fluids with Application to the Human Body

## 2016

**Adrian Pastine**PhD in Mathematical Sciences

Advisors: Donald Kreher/Melissa Keranen

Dissertation Title: Two Problems of Gerhard Ringel

**Chao Liang**PhD in Mathematical Sciences

Advisors: Franz Tanner/Kathleen Feigl

Dissertation Title: Development of Computational Methods for the Investigation of Liquid Drop Phenomena in External Flows

*Note: Search the J. R. Van Pelt and Opie Library Catalog for online availability of recent theses.*