This collection includes theses and dissertations from the Department of Mathematics, in the College of Arts & Sciences. It is not exhaustive since most paper theses and dissertations have not been digitized. Generally, paper copies of theses and dissertations published prior to 2014 can be accessed in the University of Louisville Libraries. If you would like to add your thesis or dissertation to this collection, please fill out the Electronic Theses & Dissertations form.

### Theses/Dissertations from 2024

Strategy-proof social choice functions on Condorcet domains., Flannery Marie Musk Wells

### Theses/Dissertations from 2023

A machine learning approach to constructing Ramsey graphs leads to the Trahtenbrot-Zykov problem., Emily Hawboldt

Effects of a protection zone in a reaction-diffusion model with strong Allee effect., Isaac Johnson

Penalized Bayesian exponential random graph models., Vicki Modisette

Stability of Cauchy's equation on Δ+., Holden Wells

### Theses/Dissertations from 2022

A new SIR model with mobility., Ciana Applegate

The on-line width of various classes of posets., Israel R. Curbelo

Properties and classifications of certain LCD codes., Dalton Seth Gannon

Cross-validation for autoregressive models., Christina Han

Dimension and Ramsey results in partially ordered sets., Sida Wan

### Theses/Dissertations from 2021

### Theses/Dissertations from 2020

Convolution inequalities and applications to partial differential equations., Matthew Reynolds

Linear methods for regression with small sample sizes relative to the number of variables., Rajesh Sikder

### Theses/Dissertations from 2019

A study of big field multivariate cryptography., Ryann Cartor

Algebraic properties of neural codes., Katie C. Christensen

Characterizing majority rule on various discrete models of consensus., Trevor Leach

Allee effects introduced by density dependent phenology., Timothy James Pervenecki

### Theses/Dissertations from 2018

Factorization in integral domains., Ryan H. Gipson

Information theoretic thresholding techniques based on particle swarm optimization., Surina Surina

Developments in multivariate post quantum cryptography., Jeremy Robert Vates

### Theses/Dissertations from 2017

Likelihood-based methods for analysis of copy number variation using next generation sequencing data., Udika Iroshini Bandara

Regularized solutions for terminal problems of parabolic equations., Sujeewa Indika Hapuarachchi

Extending difference of votes rules on three voting models., Sarah Schulz King

Some problems arising from mathematical model of ductal carcinoma in SITU., Heng Li

Residuated maps, the way-below relation, and contractions on probabilistic metric spaces., M. Ryan Luke

Nonspreading solutions in integro-difference models with allee and overcompensation effects., Garrett Luther Otto

### Theses/Dissertations from 2016

Computation of Least Angle Regression coefficient profiles and LASSO estimates., Sandamala Hettigoda

Mathematical hybrid models for image segmentation., Carlos M. Paniagua Mejia

### Theses/Dissertations from 2015

Order automorphisms on the lattice of residuated maps of some special nondistributive lattices., Erika D. Foreman

Strong quota pair systems and May's theorem on median semilattices., Lucas Hoots

Spreading speeds and traveling waves in some population models., Quancheng Meng

Chaos in semiflows., Chad Money

Improved self-consistency for SCED-LCAO., Lyle C. Smith

The PC-Tree algorithm, Kuratowski subdivisions, and the torus., Charles J. Suer

Mathematical studies of the glucose-insulin regulatory system models., Minghu Wang

### Theses/Dissertations from 2014

Acyclic and indifference-transitive collective choice functions., Katey Bjurstrom

The use of variable-bagging and the cross-validation selector in the prediction of alzheimer’s using the adni database., Michael Wayne Godbey

Several functional equations defined on groups arising from stochastic distance measures., Heather B. Hunt

Functional equations with involution related to sine and cosine functions., Allison Perkins

### Theses/Dissertations from 2013

Mixture of Poisson distributions to model discrete stock price changes., Rasitha Rangani Jayasekare Kodippuli Thanthillage Dona

A stage-structured delayed reaction-diffusion model for competition between two species., Chunwei Wang

### Theses/Dissertations from 2012

The Black-Scholes formula and volatility smile., Brian Michael Butler 1969-

Connected matchings in special families of graphs., Christopher James Caragianis 1980-

Bayesian regression analysis., Sara Evans

Self-dual codes, subcode structures, and applications., Finley James Freibert

A study of the total coloring of graphs., Maxfield Edwin Leidner

A spatial age-structured model of perennial plants with a seed bank., Kimberly Ilene Meyer

Fenichel's theorems with applications in dynamical systems., Jeremy Warren Riley

Asymptotics and confidence estimation in segmented regression models., Rebekah Ann Robinson

### Theses/Dissertations from 2011

Avoiding, pretending, and querying : three combinatorial problems., Adam S. Jobson

Marginal nonparametric inference for waiting times in multistage models : hypothesis testing and regression., Douglas J. Lorenz

Acute myocardial infarction patient data to assess healthcare utilization and treatments., Pedro Ramos

Statistical analysis and data mining of Medicare patients with diabetes., Xiao Wang

Cantor set approximations and dimension computations in hyperspaces., Matthew G. Zapf

### Theses/Dissertations from 2010

Data mining and analysis of lung cancer data., Guoxin Tang

### Theses/Dissertations from 2009

Structure and properties of maximal outerplanar graphs., Benjamin Allgeier

Applications of the Combinatorial Nullstellensatz on bipartite graphs., Timothy M. Brauch

Model extensions and applications in mathematical imaging., John Marion Cochran

### Theses/Dissertations from 2007

Forecasting prescription of medications and cost analysis using time series., Mussie Angesom Tesfamicael 1975-

Properties of generic and almost every mappings in various nonlogically compact Polish abelian groups., Susan L. Calcote White 1971-

### Theses/Dissertations from 2004

Planar graphs : a historical perspective., Rick Alan Hudson 1978-

### Theses/Dissertations from 2003

One bug, two drugs : A mathematical model of resistance dynamics in the ICU., Susan L. Calcote White 1971-

### Theses/Dissertations from 1940

A study of Fermat's last theorem., Jerome L. Krumpelman