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.

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Theses/Dissertations from 2024

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A study of post-quantum cryptographic schemes., Max Cartor

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

Theses/Dissertations from 2023

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

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

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Penalized Bayesian exponential random graph models., Vicki Modisette

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

Theses/Dissertations from 2022

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A new SIR model with mobility., Ciana Applegate

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

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

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Cross-validation for autoregressive models., Christina Han

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

Theses/Dissertations from 2021

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Decisive neutrality, restricted decisive neutrality, and split decisive neutrality on median semilattices and median graphs., Ulf Högnäs

Theses/Dissertations from 2020

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

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

Theses/Dissertations from 2019

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A study of big field multivariate cryptography., Ryann Cartor

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Algebraic properties of neural codes., Katie C. Christensen

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

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

Theses/Dissertations from 2018

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Factorization in integral domains., Ryan H. Gipson

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

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Developments in multivariate post quantum cryptography., Jeremy Robert Vates

Theses/Dissertations from 2017

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

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

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

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

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

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

Theses/Dissertations from 2016

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

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

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Spreading speeds along shifting resource gradients in reaction-diffusion models and lattice differential equations., Jin Shang

Theses/Dissertations from 2015

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

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

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

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Chaos in semiflows., Chad Money

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

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

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

Theses/Dissertations from 2014

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

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

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

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

Theses/Dissertations from 2013

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

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

Theses/Dissertations from 2012

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

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

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Bayesian regression analysis., Sara Evans

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

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

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

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

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

Theses/Dissertations from 2011

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

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

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

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Use of statistical analysis, data mining, decision analysis and cost effectiveness analysis to analyze medical data : application to comparative effectiveness of lumpectomy and mastectomy for breast cancer., Beatrice Ugiliweneza

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

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

Theses/Dissertations from 2010

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

Theses/Dissertations from 2009

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Structure and properties of maximal outerplanar graphs., Benjamin Allgeier

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

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

Theses/Dissertations from 2007

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

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

Theses/Dissertations from 2004

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

Theses/Dissertations from 2003

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

Theses/Dissertations from 1940

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