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 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
