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Recent Student Publications

 

Recent Student Research Topics

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 projects that our recent graduates have chosen to research.

 

2012

Graceful Labeling Necklace Graphs
by Jacob Yunker
Advisor: Dalibor Froncek

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

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

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

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

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

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

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

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

Regression on a Cylinder
by Xianjing Tang
Advisor: Kang James

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

Triangle Counting in Large Networks
by Changyu Yang
Advisor: Kang James

 

2011

Development of a Vegetation-Soil-Consumer Model with Harvesting
by Tom Sjoberg
Advisor: Harlan Stech

The Accuracy and Validity of Online Homework Systems
by Kathleen Malevich
Advisor: Carmen Latterell

The alignment of mass spectra and identification of biomarkers of pancreatic cancer
by Junmin Shi
Advisor: Ron Regal

Strengths and Drawbacks of Voting Methods for Political Elections
By Eric Erdmann
Advisor: Kathryn Lenz

Graceful Kayak Paddles
By Ann Litersky
Advisor: Dalibor Froncek

Optimal Spring-Damper Location for a Beam-Spring System
By Hao Han
Advisor: Zhuangyi Liu

Expression Patterns of Codon Usage and Homopolymers in the 13-Lined Ground Squirrel
By Amy Virta
Advisor: Marshall Hampton

Dodgson's Determinant: A Qualitative Analysis
By Amy Schmidt
Advisor: John Greene

An Investigation of Erd s’ Method: A Scheme for Generating Carmichael Numbers
By Trevor Brennan
Advisor: John Greene

 

2010

A Study of Probability and Ergodic theory with applications to Dynamical Systems
by James Polsinelli
Advisors: Barry James and Bruce Peckham

Application of Gap statistics to Penalized Model-Based Clustering
by Wencheng Geng
Advisor: Kang James

Enrichment in a Stoichiometric Model of Two Producers and One Consumer
By Laurence Hao-Ran Lin, Bruce. B. Peckham, Harlan W. Stech, and John Pastor

Exploring the Method to Assess the Effectiveness of Countermeasures for Proactive Traffic Safety Improvement
by Fang Chen
Advisor: Zhuangyi Liu and Hongyi Chen

The Economic Utilization of Patients with Refractory Angina
by Ross Garberich
Advisor: Ron Regal

A Study of Robust Hybrids of LASSO and Ridge Regression and Applications
by Hongbo Lin
Advisor: Kang James

Chaos, Attractors and the Lorenz Conjecture: Noninvertible Transitive Maps of Invariant Sets are Sensitive
By Garrett Taft
Advisor: Bruce Peckham

A Comparison Study of Estimation Methods for Non-regular Distributions
by Nan Zhang
Advisors: Yongcheng Qi and Kang James

Use of Chebyshev Polynomials to Construct New Functions to Solve Partial Differential Equations With High Accuracy
by Qingtao Geng
Advisor: Steven Trogdon

Stress Analysis of Biomaterial Cutting Process
by Xiaoli Wang
Advisor: Kang James and Debao Zhou

Enrichment in a Producer-Consumer Model with varying rates of Stoichiometric Elimination
by  Xinyuan Zhang
Advisor: Bruce Peckham

Modeling Count Data from Hawk Migrations
by Fengying Miao
Advisor: Ron Regal

 

2009

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

Penalized Model-Based Clustering
by Wei Zhang
Advisor: Kang James

Active Control of Impulsive Noise
by Ronghua Zhu
Advisor: Zhuangyi Liu

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

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

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

 

2008

On a System of Wave Equation and Thermoelastic Equation Coupled at the Interface 
by Ran Wei
Advisor: Zhuangyi Liu   

Support Vector Machines for Binary Classification and its Applications
by Brad Jannesen
Advisor: Ron Regal

What Makes a Champion? A Multivariate Analysis of Major League Baseball
by Lindsey Dietz
Advisor: Barry James

Generalized Additive Model
by Huimin Liu    
Advisor: Kang James

Lasso and Its Applications
by Xiaoxi Zhao
Advisor: Kang James