Theses and Dissertations

2025

Hunter Waldron
Mathematical Sciences (Discrete Math)
The Combinatorics of Integer Partitions Enumerated by some Exotic Weights
Advisor: William Keith

MD Mutasim Billah
Statistics
Methods in Statistics, Machine Learning, and Deep Learning for Combining Multi-Omics Dataset
Advisor: Kui Zhang

Megh Raj Subedi
Statistics
Novel Statistical Method for Multiple Phenotype and Gene Based Association Tests
Advisor: Quiying Sha

Kazeem Abiodun Kareem
Statistics
Hybrid Mixtures of Factor Analyzers for High Dimensional Data
Advisor: Fan Dai

Jehyun Lee
Mathematical Sciences (Discrete Math)
On Graph Decompositions: Exploring the Stars and Stripes Problem With Odd n-Stars
Advisor: Melissa Keranen

Meiling Zhou
Statistics
Statistical Methods for Joint Analysis of Multiple Types of Phenotypes in Genetic Studies
Advisor: Kui Zhang

Karlee Westrem
Mathematical Sciences (Discrete Math)
Schaper Numbers, Palindrome Partitions, and Symmetric Functions, with applications to characters of the symmetric group
Advisor: David Hemmer

2024

Sunyoung Ahn
Computational Science & Engineering
Bayesian Inference of Longitudinal Binary and Ordinal Data Utilizing Multivariate Probit Models
Advisor: Xiao Zhang

Zazil Santizo Huerta
Mathematical Sciences (Discrete Math)
On Graph Decompositions and Designs: Exploring the Hamilton-Waterloo Problem With a Factor of 6-Cycles and Projective Planes of Order 16
Advisor: Melissa Keranen

Kyle Schwiebert
Mathematical Sciences (Computational / Applied Math)
LES-C Turbulence Models and Fluid Flow Modeling: Analysis and Application to Incompressible Turbulence and Fluid-Fluid Interaction
Advisor: Alexander Labovsky

Lirong Zhu
Statistics
Statistical Methods for Genetic Association Studies and Polygenic Risk Score Prediction
Advisor: Quiying Sha

Fangyao Zhu
Mathematical Sciences (Computational / Applied Math)
Bound preserving discontinuous Galerkin Methods for Euler equations and nonequilibrium flows
Advisor: Yang Yang

Praveen T. W. Hettige
Statistics
An Incremental Multiscale Non–Linear Manifold Approximation Method
Advisor: Benjamin Ong

Yue Kang
 Mathematical Sciences (Computational / Applied Math)
Discontinuous Galerkin methods for compressible miscible displacements and applications in reservoir simulation
Advisor: Yang Yang

2023

Xiaoqing Gao
Statistics
Machine Learning Methods for Prediction of Human Infectious Virus and Imputation of HLA Alleles
Advisor: Kui Zhang

Meida Wang
Statistics
Statistical Methods for GWAS and the Impact of Diabetic Medication Adherence on Healthcare Costs
Advisor: Qiuying Sha

Yasasya Batugedara Mohottalalage
Mathematical Sciences (Computational / Applied Math)
Higher Accuracy Models and Validation of LES-C Turbulence Models
Advisor: Alexander Labovsky

Xuewei Cao
Statistics
Statistical Methods for Gene Selection and Genetic Association Studies
Advisor: Quiying Sha

Xing Ling
Statistics
Additive P-Value Combination Test
Advisor: David Hemmer

Jacob Blazejewski
Mathematical Sciences (Computational / Applied Math)
Novel Approaches to Compute Manifold Operators with the Radial Basis Functions Method
Advisor: Cécile Piret

2022

Hongjing Xie
Statistics
Statistical Method of Genetic Association Studies
Advisor: Qiuying Sha

Shijia Yan
Statistics
Statistical Methods for Controlling Population Stratification and Gene-Based Association Studies
Advisor: Shuanglin Zhang

2021

Yanfang Liu
Mathematical Sciences (Computational / Applied Math)
Deterministic and Statistical Methods for Inverse Problems with Partial Data
Advisor: Jiguang Sun

Cheng Gao
Statistics
Statistical Methods In Genetic Studies
Advisor: Kui Zhang

Nadun Lakshitha Dissanayake Kulasekera Mudiyanselage
Mathematical Sciences (Computational / Applied Math)
New Numerical Approximations of Geological Processes in Heterogeneous Systems using Radial Basis Functions
Advisor: Cécile Piret

Tim Wagner
Mathematical Sciences (Discrete Math)
Integer Partitions Under Certain Finiteness Conditions
Advisor: Fabrizio Zanello

2020

Zhongyuan Hu
Statistics
Novel Gene-Based Association Test Based on New Polygenetic Risk Scores and Real Data Analysis Using UK Biobank COPD Data
Advisor: Shuanglin Zhang

Dilek Erkmen
Mathematical Sciences (Computational / Applied Math)
High Accuracy Methods for Fluid Flows in Various Applications: Theory and Implementation
Advisor: Alexander Labovsky

Daniel Crane
Mathematical Sciences (Computational / Applied Math)
The Singular Value Expansion for Compact and Non-Compact Operators
Advisor: Mark Gockenbach

Joy Azzam
Mathematical Sciences (Computational / Applied Math)
Sub-Sampled Matrix Approximations
Advisor: Allan Struthers
Co-Advisor: Benjamin Ong

2019

Ruihao Huang
Mathematical Sciences (Computational / Applied Math)
Novel Computational Methods for Eigenvalue Problems
Advisor: Jiguang Sun

Lilia Feng
Mathematical Sciences (Statistics)
Bayesian Hypothesis Testing in Linear Regression Models
Advisor: Min Wang

Yun Liu
Statistics
Statistical Methods for Mixed Frequency Data Sampling Models
Advisor: Yeonwoo Rho

Duo Zhang
Mathematical Sciences (Statistics)
Bayesian Analysis for the Intraclass Model and for the Quantile Semiparametric Mixed-Effects Double Regression Models
Advisor: Min Wang

Sulin Wang
Mathematical Sciences (Computational / Applied Math)
Total Variation Bounded Flux Limiters for High Order Finite Difference Schemes Solving Scalar Conservation Laws
Advisor: Zhengu Xu

Matthew Roberts
Mathematical Sciences (Computational / Applied Math)
Approximation of the Generalized Singular Value Expansion
Advisor: Mark Gockenbach

Nattaporn Chuenjarern
Mathematical Sciences (Computational / Applied Math)
Discontinuous Galerkin Methods for Convection-Diffusion Equations and Applications in Petroleum Engineering
Advisor: Yang Yang

Xueling Li
Statistics
Statistical Methods for Joint Analysis of Multiple Phenotypes and their Applications for PheWAS
Advisor: Qiuying Sha

2018

Mustafa Aggul
Mathematical Sciences (Computational / Applied Math)
High Accuracy Methods and Regularization Techniques for Fluid Flows and Fluid-Fluid Interaction
Advisor: Alexander Labovsky

Samuel Judge
Mathematical Sciences (Discrete Math)
On the Density of the Odd Values of the Partition Function
Advisor: Fabrizio Zanello

Zhenchuan Wang
Mathematical Sciences (Statistics)
Joint Analysis for Multiple Traits
Advisor: Shuanglin Zhang
Co-Advisor: Qiuying Sha

Xinlan Yang
Mathematical Sciences (Statistics)
Statistical Methods for Detecting Causal Rare Variants and Analyzing Multiple Phenotypes
Advisor: Qiuying Sha

Xiaoyu Liang
Mathematical Sciences (Statistics)
Joint Analysis of Multiple Phenotypes in Association Studies
Advisor: Shuanglin Zhang
Co-Advisor: Qiuying Sha

Huanhuan Zhu
Mathematical Sciences (Statistics)
Statistical Methods for Analyzing Multivariate Phenotypes and Detecting Rare Variant Associations
Advisor: Qiuying Sha
Co-Advisor: Shuanglin Zhang

2017

Ala Mahmood Nahar Al Zaalig
Mathematical Sciences (Computational / Applied Math)
Direct Sampling Methods for Inverse Scattering Problems
Advisor: Jiguang Sun

Bryan Freyberg
Mathematical Sciences (Discrete Math)
Distance Magic-Type and Distance Antimagic-Type Labelings of Graphs
Advisor: Melissa Keranen
Co-Advisor: Dalibor Froncek

Mustafa Gezek
Mathematical Sciences (Discrete Math)
Combinatorial Problems Related to Codes, Designs and Finite Geometries
Advisor: Vladimir Tonchev

Samer Alokaily
Mathematical Sciences (Computational / Applied Math)
Modeling and Simulation of the Peristaltic Flow of Newtonian and Non-Newtonian Fluids with Application to the Human Body
Advisor: Kathleen Feigl
Co-Advisor: Franz Tanner

Olabanji Shonibare
Mathematical Sciences (Computational / Applied Math)
Numerical Simulation of Viscoelastic Multiphase Flows Using an Improved Two-phase Flow Solver
Advisor: Kathleen Feigl
Co-Advisor: Franz Tanner

2016

Adrian Pastine
Mathematical Sciences (Discrete Math)
Two Problems of Gerhard Ringel
Advisor: Donald Kreher
Co-Advisor: Melissa Keranen

Chao Liang
Mathematical Sciences (Computational / Applied Math)
Computational Methods for the Investigation of Liquid Drop Phenomena in External Gas Flows
Advisor: Kathleen Feigl
Co-Advisor: Franz Tanner

2024

Cody McCarthy
Mathematical Sciences (Computational / Applied Math)
New Method for Computing the Euclidean Condition Number with RIM-C
Advisor: Jiguang Sun

Vivian Anyanwu
Statistics
A Longitudinal Exploration of the Dynamics in Marijuana Consumption Patterns Using Mixed Effects Models and Generalized Estimating Equations (GEE)
Advisor: Xiao Zhang

Kristoffer Larsen
Statistics
Deep Learning, Multi-Staged Machine Learning, and Reinforcement Learning to Improve Cardiac Resynchronization Therapy
Advisor: Qiuying Sha
Co-Advisor: Weihua Zhou

2022

Siyu Wang
Statistics
Multiple Testing Correction in Time Series Rolling Window Analysis with Application of GWAS Methods
Advisor: Yeonwoo Rho

2021

Emily Anible
Mathematical Sciences (Discrete Math)
Major Index over Descent Distributions of Standard Young Tableaux
Advisor: William Keith

Tessa Kriz
Statistics
Construction and Analysis of Genetic Regulatory Networks with RNA-SEQ Data from Arabidopsis thaliana
Advisor: Kui Zhang

Kyle Schwiebert
Mathematical Sciences (Computational / Applied Math)
Improving the Temporal Accuracy of Turbulence Models and  Resolving the Implementation Issues of Fluid Flow Modeling
Advisor: Alexander Labovsky

Weibing Li
Statistics
Imputation of Ordinal Responses Using Univariate Bayesian Probit Model
Advisor: Xiao Zhang

2020

Prangya Rani Parida
Mathematical Sciences (Discrete Math)
Uniform Three-Class Regular Partial Steiner Triple Systems with Uniform Degrees
Advisor: Melissa Keranen

2019

Dhruv Dhanesh Thanawala
Mathematical Sciences (Computational / Applied Math)
Credit Risk Analysis using Machine Learning and Neural Networks
Advisor: Benjamin Ong
Co-Advisor: Gowtham Shankara

Dale Bigler
Mathematical Sciences (Discrete Math)
Universal Central Extensions of Direct Limits of Hom-Lie Superalgebras
Advisor: Jie Sun

Eric Neubert
Mathematical Sciences (Discrete Math)
Some Results on Partial Difference Sets and Partial Geometries
Advisor: Zeying Wang

Ziyao Xu
Mathematical Sciences (Computational / Applied Math)
High Order Bound-Preserving Discontinuous Galerkin Methods and their Applications in Petroleum Engineering
Advisor: Yang Yang

2018

Xiaoqing Gao
Statistics
Survival Analysis and Comparison of Anatomic and Clinical Prognostic Stage Groups for Breast Cancer Based on 2803 Cases
Advisor: Kui Zhang

Sachithra Perera
Mathematical Sciences (Statistics)
Literature Review for Predicting 30-Day Hospital Readmission
Advisor: Qiuying Sha

Melinda Kleczynksi
Mathematical Sciences (Computational / Applied Math)
Pseudo-Companion Matrices for Polynomial Systems
Advisor: Allan Struthers

Fadhila Yosof
Mathematical Sciences (Statistics)
CUR Matrix Decompositions Method for Joint Analysis of Multiple Phenotypes
Advisor: Qiuying Sha

2017

Qiuchen Hai
Mathematical Sciences (Statistics)
On the Equivalence Between Bayesian and Frequentist Nonparametric Hypothesis Testing
Advisor: Jianping Dong

Mitchell Tahtinen
Mathematical Sciences (Statistics)
Analysis of Data from a Study to Identify Potential Biomarkers to Indicate Renal Injury
Advisor: Kui Zhang

Teresa Woods
Mathematical Sciences (Statistics)
Analysis of Aleks Mathematics Placement Test Data
Advisor: Shari Stockero
Co-Advisor: Yeonwoo Rho

Joshua Davies
Mathematical Sciences (Discrete Math)
Distribution of Permutation Statistics Across Pattern Avoidance Classes, and the Search for a Denert-Associated Condition Equivalent to Pattern Avoidance
Advisor: William Keith

2016

Amanda Stenzelbarton
Mathematical Sciences (Math Education)
Understanding the Transition from Secondary Education Mathematics to Undergraduate Mathematics
Advisor: Sheri Stockero

Anna Pascoe
Mathematical Sciences (Math Education)
Learning to Notice and Use Student Thinking in Undergraduate Mathematics Courses
Advisor: Sheri Stockero

Dilek Erkmen
Mathematical Sciences (Computational / Applied Math)
Defect-Deferred Correction Method for the Two-Domain Convection-Dominated Convection-Diffusion Problem
Advisor: Alexander Labovsky

Mustafa Aggul
Mathematical Sciences (Computational / Applied Math)
A High Accuracy Minimally Invasive Regularization Technique for Navier-Stokes Equations at High Reynolds Number
Advisor: Alexander Labovsky

Henriette Groenvik
Mathematical Sciences (Statistics)
A Self-Normalizing Approach to the Specification Test of Mixed Frequency Models
Advisor: Yeonwoo Rho

Joseph Reath
Mathematical Sciences (Statistics)
Improved Parameter Estimation of the Log-Logistic Distribution with Applications
Advisor: Min Wang

Shengnan Li
Mathematical Sciences (Statistics)
Objective Bayesian Analysis of a Generalized Lognormal Distribution
Advisor: Min Wang