PhD 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
MS Theses and Reports
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