Student Publications

Mathematics & Statistics Department

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Recent Student Research

Graduate students must either complete a thesis or an approved project that must be presented to the department in a seminar or colloquium, and prepared for publication as a departmental technical report. Below is a list of recent graduates' projects.


Ayoub Dib, Advisor Kris Snyder

Pulsate Locomotion

Lei Ding, Advisor Yang Li

A Statistical Model on Measuring Cloud Peers' Behaviors

Joseph Kell, Advisor Bruce Peckham

The Breakup and Continuation of Invariant Circles

Matej Kroc, Advisor Xuan Li

Statistical Analysis of Moose Habitat Behaviors Using Bayesian Hierarchial Model with Spatially Varying Coefficients

Yujiong Liu, Advisor Bruce Peckham

A Connection Between Analytic and Non analytic Singular Perturbations of the Quadratic Map: A Case Study

Michael McKeown, Advisor Dalibor Froncek

Vertex-Magic Group Edge Labeling

Yingyu Tang, Advisor Xuan Li

Learning Mental Health of Minnesotans Using Random Forests

Neng Wan, Advisor Zhuangyi Liu

Eigenvalues Approximations of One-Dimensional Partial Differential Equations with Local Damping

Xiangpeng Wan, Advisor Yongcheng Qi

Applied Time Series and Duluth Temperature Prediction

Yang Wang, Advisor Yang Li

Multivariate Poisson and Zero-Inflated Multivariate Poisson Regression in R

Yu-Ting You, Advisor Marshall Hampton

Group Theory in Harmonic Progression


Xinyue Chang, Advisor Yang Li

CSR Test of Spatial Point Processes on the Network

Tsungai Chibanga, Advisor Zhuangyi Liu

Applications of the Inverse LQR Problem to Wind Energy Conversion System

Vaclav Hasenohrl, Advisor Bruce Peckham

Multicompartment Ebola Modeling

Mudit Jain, Advisor Yang Li

Creating Quantum/Statistical Field Theories on Lattice from Boundary Conditions Via Conditional Probability

Su Hwan Kim, Advisor Xuan Li

Adaptive Designs for Normal Responses with Mismeasured Covariates

Qiaozhi Li, Advisor Kang James

Three-Step Non-Gaussian Quasi Maximum Likelihood Estimation of GARCH Model with Heavy-tailed Innovations

Olive Mbianda, Advisor Joe Gallian

Properly Even Harmonious Graphs

Katarazyna Obral, Advisor Barry James

Simulation, Estimation, and Applications of Hawkes Processes

Anh Phung, Advisor Kang James

Comparison of Support Vector Regression and Neural Network

Martin Rysavy, Advisor Joe Gallian

Solvability of Equations in Clifford Algebras

Melissa Sandahl, Advisor Yang Li

Spatial-Temporal Analysis of Google Flu Counts

Amber Koslucher, Advisor Richard Green

Life Table and Population Projection

Qi Liu, Advisor Yongcheng Qi

A Study of Time Varying Copula Approach to Oil and Stock Market


Christopher Boamah-Mensah, Advisor Steven Trogdon
Eigenvalue approximations of the wave equation with local Kelvin-Voigt damping

Sol Dib, Advisor Bruce Peckham
Generalized Chimera States in Two Interacting Populations of Kuramoto Oscillators

John Fahnenstiel, Advisors Dalibor Froncek & Tereza Kovarova
Isomorphic Decompositions of Complete Graphs into Unicyclic Graphs

Ying Liu, Advisors Kang James & Barry James
Risk Estimation for Large Portfolio based on POET

Ian McGahan, Advisors Dalibor Froncek & Sylwia Cichacz-Przenioslo
Covering Cover Pebbling Number for Cartesian Products of Paths

Evan Oman, Advisor Bruce Peckham
Infinite levels of complexity in a family of one-dimensional singular dynamical systems

Levi Pederson, Advisor Yang Li
Mixed model analysis for repeated measures of lettuce growth

Erik Peterson, Advisor Bruce Peckham
An Application of Fractal Analysis and Wearable Tech to the Health of the Heart

Michael Ross, Advisors Dalibor Froncek & Steve Rosenberg
2-Swappability and Edge Reconstruction Number of Regular Graphs

Andrew Schneider, Advisor John Greene
Investigating Traces of Matrix Products

Aaron Shepanik, Advisors Dalibor Froncek & Petr Kovar
Graph Labelings and Tournament Scheduling

Inne Singgih, Advisors Dalibor Froncek & Sylwia Cichacz-Przenioslo
New Methods for Magic Total Labelings of Graphs

Danielle Stewart, Advisor Joseph Gallian
Even Harmonious Labelings of Disconnected Graphs

Yi Xiao, Advisor Yongcheng Qi
Likelihood Ratio Test of Covariance Matrices of Normal Distributions Proportional to Identity Matrix

Weitong Yin, Advisors: Barry James & Steven Chiou
Weighted Kaplan-Meier Estimator For Different Sampling Methods


Katherine Borchert, Advisors Kang James & Xuan Li
A Study of Longitudinal Data Analysis with Applications

Long Chen, Advisor Yongcheng Qi
Extreme Value Theorem

Xiaowen Fang, Advisor Kang James
Recommender Systems & Applications

Brittany Fanning, Advisor John Greene
Periodic Behavior in a Class of Second Order Recurrence Relations Over the Integers

Wenchuan Guo, Advisor Yongcheng Qi
Central Limit Theorem for Testing the Equality of Covariance Matrices

Michal Hrabia, Advisors: Kang James & Barry James
Estimation of Large Covariance Matrices using the POET Estimator

Shinjini Kar, Advisors Barry James & Xuan Li
Analyzing Demographic Risks in Long Term Care

Zhaobin Kuang, Advisors: Zhuangyi Liu & Richard Maclin
Asymptotic Expansion of Eigenvalues for an Abstract System of Coupled Evolution Equations

Xiao Li, Advisors Zhuangyi Liu & Barry James
S&P Effect and Investment Classification

Michael Lillegard, Advisor Dalibor Froncek
Magic Boxes and Related Topics

Zhengfei Rui, Advisor Steven Trogdon
Use of Chebyshev Polynomials to Construct L2 and Hilbert Space Inner Product to Solve Eigenvalue Problems With High Accuracy

Diwash Shrestha, Advisor: Xuan Li
A Study of the Lee-Carter Model and Its Extensions, with an Application to US Mortality Data

Xuran Yan, Advisors: Kang James & Barry James
Multivariate Bayesian Logistic Regression

Ondrej Zjevik, Advisors John Greene & Dalibor Froncek
Symmetric Chain Decompositions of Partially Ordered Sets


Marie Helbach, Advisor: Ron Regal
Generalized Linear Mixed Models for Time Trends in Hawk Migrations

Jana Hurkova, Advisor Harlan Stech
A Predator-Prey Model with Ratio-Dependent Food Processing Response

Samuel Judnick, Advisor John Greene
Patterns in Continued Fraction Expansions

Collin McCauley Van Ryn, Advisor Kang James
Independent Component Analysis (ICA) Using Concepts From Information Theory

Xingguo Li, Advisor Kang James
L1 Regularized High-Dimensional Sparse Regression

Cassandra Quick, Advisor: Kang James
Multivariate Multiple Regression Analysis with Application to Powerlifting Data

Lori Ann Schoenhard, Advisor Joseph Gallian
Even Harmonious Graphs

Fang Yuan, Advisor Kang James
Tests for the change-point of AR(1) model

Jeremiah Zblewski, Advisor Marshall Hampton
Lipidomic and Transcriptomic Analysis in a Mammalian Hibernator

Lin Zhang, Advisor Yongcheng Qi
CLT of Testing Independence of Normal Distributions for Arbitrary Partition

Xianwu Zhang, Advisor Barry James
Meeting Times of Taboo Random Walk On Bipartite Graph

Mengjie Zheng, Advisor Yongcheng Qi
Personalized Maximum Liklihood Estimation of Two-Parameter Exponential Distributions


Jacob Yunker, Advisor Dalibor Froncek
Graceful Labeling Necklace Graphs

Stephen Balamut, Advisor Dalibor Froncek
Group Distance Magic Labeling for the Cartesian Product of Cycles

Lindsay Baun, Advisors: Kang James and Barry James
Nonparametric Statistical Analysis of the Correlation Between Two Single-Neuron Firing Rates

Brett David Bozyk, Advisor: Bruce Peckham
Non-Analytic Singular Continuations of Complex Analytic Dynamical Systems

Jorge Castiblanco, Advisor: Barry James
A Markov-Switching Dickey-Fuller Model of Purchasing Power Parity

Michael Stephen Cook, Advisor: Marshall Hampton
The Tropical Geometry of Albouy-Chenciner Systems

Lin Dai, Advisors Barry James and Kang James
An Approximation for the Coupon Collector's Problem

Sarah N. Kabes, Advisor: Bruce Peckham
The Transition Between the Complex Quadratic Map and the Henon Map

Kyle Krueger, Advisor: John Greene
Two Types of Bit String Generating Functions

Xianjing Tang, Advisor Kang James
Regression on a Cylinder

Zizhen Wu, Advisor Barry James and Kang James
The Temporal Correlation between Two Random Processes

Changyu Yang, Advisor Kang James
Triangle Counting in Large Networks


Bryan Freyberg, Advisors Carmen Latterell and Harlan Stech
An Academic Trajectory of a Typical STEM Student

Wei Zhang, Advisor Kang James
Penalized Model-Based Clustering

Ronghua Zhu, Advisors Zhuangyi Liu
Active Control of Impulsive Noise

Qingzhao Wang, Advisor Steven Trogdon
Numerical Analysis of Cooling Effects of a Cylinder Head Water Jacket

Kristyna Korinkova, Advisor  Marshall Hampton
Characterize Symmetric Non-Negative Homogenous Polynomials on Geometric Configurations

Jie Ren, Advisor Kang James
Spatially Correlated Mixture Models with Application in Genomic Hypothesis Testing