Home / Research / Graduate Research / PhD Dissertations

PhD Dissertations

YearNameDissertation TitleAdvisor
May 2019Wendy K. Caldwell

Differential Equation Models for Understanding Phenomena beyond Experimental Capabilities

Stephen Wirkus
May 2019Benjamin Carrillo

On K-Derived Quartics and Invariants of Local Fields

John Jones
May 2019Neil Hatfield

Students' Meanings for Stochastic Process While Developing a Conception of Distribution

Patrick Thompson
May 2019Tho Nguyen Xuan

Some Diophantine Problems

Andrew Bremner
May 2019Roy Oursler

On the Existence of Loose Cycle Tilings and Rainbow Cycles

Andrzej Czygrinow
May 2019Stephanie Reed

Rigorous Proofs of Old Conjectures and New Results for Stochastic Spatial Models in Econophysics

Nicolas Lanchier
May 2019Matthew Weber

Investigating the Advancement of Middle School Mathematics Teachers' Meanings for Partitive Division by Fractional Values of Quantities

April Strom, Patrick Thompson
May 2019Joseph Wells

Hybrid Subgroups of Complex Hyperbolic Lattices

Julien Paupert
May 2019Ke Wu

Parametrically Forced Rotating and/or Stratified Confined Flows

Juan Lopez, Bruno Welfert
May 2019Jason Yalim

Parametric Forcing of Confined and Stratified Flows

Bruno Welfert, Juan Lopez
Dec 2018Khalaf Matar Alanazi

A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes

Horst Thieme
Dec 2018Brent Knutson

Pattern Identification and Analysis in Urban Flows

Wenbo Tang
Dec 2018Alan O’Bryan

Exponential Growth and Online Learning Environments: Designing for and studying the development of student meanings in online courses

Marilyn Carlson
Aug 2018Juan Durazo

Local Ensemble Transform Kalman Filter for Earth-System Models: An application to Extreme Events

Eric Kostelich
Aug 2018Kamaldeen O. Okuneye

Mathematics of Climate Change and Mosquito-borne Disease Dynamics

Abba Gumel
May 2018Robert Buscaglia

Supervised and Ensemble Classification of Multivariate Functional Data: Applications to Lupus Diagnosis

Yiannis Kamarianakis
May 2018Mudiyanselage Maduranga Kasun Dassanayake

A Study of Components of Pearson’s Chi-Square Based on Marginal Distributions
of Cross-Classified Tables for Binary Variables

Mark Reiser
May 2018Mario GiacomazzoThree Essays on Shrinkage Estimation and Model Selection of Linear and Nonlinear Time Series ModelsYiannis Kamarianakis
May 2018Brady GilgCritical Coupling and Synchronized Clusters in Arbitrary Networks of Kuramoto OscillatorsDieter Armbruster
May 2018Katherine IrimataEssays on the Identification and Modeling of VarianceJeffrey Wilson
May 2018Kyle Irimata

Three Essays on Correlated Binary Outcomes: Detection and Appropriate Models

Jeffrey Wilson
May 2018Kirk T. Kayser

The Economics of Need-based Transfers

Dieter Armbruster
May 2018Younghwan Kim

On the Uncrossing Partial Order on Matchings

Susanna Fishel
May 2018Marisabel Rodriguez Messan

Understanding the Emerging Behaviors and Demands for the Colony Success of Social Insects: A Mathematical Approach

Yun Kang
May 2018Emily Ginamarie Kuper Flores

Sparky the Saguaro:  Teaching Experiments Examining Students' Development of the Idea of Logarithm

Marilyn Carlson
May 2018Theresa Scarnati

Recent Techniques for Regularization in Partial Differential Equations and Imaging

Anne Gelb
Rodrigo Platte
May 2018Phillip Morgan WalkerEffective-diffusion for general nonautonomous systemsWenbo Tang
May 2018Meng WangSpatio-temporal Statistical Modeling: Climate Impacts due to Bioenergy Crop ExpansionYiannis Kamarianakis
May 2018Zhongshen WangLocally D-optimal Designs for Generalized Linear ModelsJohn Stufken
May 2018Jangwon YieSome Tur´an-type Problems in Extremal Graph TheoryAndrzej Czygrinow
May 2017Junfei ZhuA Power Study of GFfit Statistics as Components of Pearson Chi-SquareMark Reiser
May 2017Ruowen LiuNumerical Issues Arising in the Simulations of Transient Water Flow in Layered Unsaturated SoilsBruno Welfert
May 2017Paloma Gutierrez CastilloRotating Split-Cylinder FlowsJuan Lopez
May 2017Alex FarrellPrey-predator-parasite: an ecosystem model with fragile persistenceHorst Thieme
May 2017Sultan Al-SuleimanToward Enumerating the Chains of Maximum Length of Cambrian and m-eralized Cambrian LatticesSusanna Fishel
Dec 2016Kevin TreatOn Chains in the Tamari LatticeSusanna Fishel
Dec 2016Bruce PellDynamics and Implications of Data-Based Disease Models in Public Health and AgricultureYang Kuang
Dec 2016Daniel KorytowskiPersistence for "Kill The Winner" nested infection Lotka-Volterra modelsHall Smith
Aug 2016Cameron ByerleySecondary Teachers' and Calculus Students' Meanings for Fraction, Measure and Rate of ChangePatrick Thompson
Aug 2016Erica RutterA Mathematical Journey of Cancer GrowthE. Kostelich
Y. Kuang
Aug 2016Arthur Araujo MitranoProperties of divergence-free methods for approximation and solution of partial differential equationsRodrigo Platte
Aug 2016Nathan LanfearThe Pauli-Luba'nski Vector in a Group-Theoretical Approach to Relativistic Wave EquationsS. Suslov
B. Kotschwar
Aug 2016Luke NelsonToward the Enumeration of Maximal Chains in the Tamari latticesSusanna Fishel
2016Stephen EvilsizorEvolutionary Games as Interacting Particle SystemsNicolas Lanchier
2016Frank MarfaiCharacterizing Teacher Change Through the Perturbation of Pedagogical GoalsMarilyn Carlson
2016Dennis DenkerHigh-Order Methods Exploiting Sparsity with Applications in Imaging and PDEsAnne Gelb
2016Adam MorganCuntz-Pimsner Algebras of Twisted Tensor Products of Correspondences and Other ConstructionsS. Kaliszewski
J. Quigg
2015Matthew WienkeAn Aggregate Second Order Continuum Model for Transient Production PlanningDieter Armbruster
2015Andrea ThatcherSwarming in Bounded DomainsDieter Armbruster
2015Wanchunzi YuA Test and Confidence Set for Comparing the Location of Quadratic Growth CurvesMark Reiser
2015Utku IlkturkObservability Methods in Sensor Scheduling A. Gelb
R. Platte 
2015Michael TallmanAn Examination of the Effect of a Secondary Teacher's Image of Instructional Constraints on His Enacted Subject Matter KnowledgeMarilyn Carlson
2015Rebecca EverettApplications of the Droop Cell Quota Model to Data Based Cancer Growth and Treatment ModelsYang Kuang
2015Ran WangOn Choosability and Paintability of GraphsHal Kierstead
2015Scott ZinzerOne- and Two-Variable p-adic Measures in Iwasawa TheoryNancy Childress
2014Thomas HolevaA Kinetic Approach to Anomalous Diffusion in Biological Trapping RegionsS. Baer
C. Ringhofer
2014Aaron PackerCell Quota Based Population Models and their ApplicationsYang Kuang
2014Yuqin ZhaoMathematical and Statistical Insights in Evaluating State Dependent Effectiveness of HIV Prevention InterventionsYang Kuang
2014Benjamin RobinsonOperator-Valued Frames Associated with Measure SpacesD. Cochran
W. Moran
2014M'hamed TemkitExperimental Designs for Generalized Linear Models and Functional Magnetic Resonance ImagingMing-Hung Kao
2014Angela PeaceStoichiometric Producer-Grazer Models Incorporating the Effects of Excess Food-Nutrient Content on Grazer DynamicsYang Kuang
2014Roberto AlvarezA Two-Strain Spatiotemporal  Mathematical Model of Cancer With Free Boundary ConditionFabio Milner
2014Stacey BowlingConceptions of Function Composition in College Precalculus StudentsMarilyn Carlson
2014Wen JinPersistence of Discrete Dynamical Systems in Infinite Dimensional State SpacesHorst Thieme
2013Arturo ValdiviaAlternative Methods via Random Forest to Identify Interactions in a General Framework and Variable Importance in the Context of Value-Added ModelsRandall Eubank
2013Hao LiuSpatial Spread of Rabies in WildlifeYang Kuang
2013Jonathan YoungTime-Dependent Models of Signal Transduction NetworksDieter Armbruster
2013Jun ZhangA Continuous Latent Factor Model for Non-ignorable Missing Data in Longitudinal StudiesM. Reiser
J. Barber 
2013Shawn ElledgeOn Minimal Levels of Iwasawa TowersNancy Childress
2013Aviva HalaniStudents’ Ways of Thinking about Combinatorics Solution SetsKyeong Hah Roh
2013Chester IsmayTesting Independence of Parallel Pseudorandom Number Streams: Incorporating the Data’s Multivariate NatureRandall Eubank
2013Theodore MollaOn Tiling Directed Graphs with Cycles and TournamentsHenry Kierstead
2013Jeremiah JonesDrift-Diffusion Simulation of the Ephaptic Effect in the Triad Synapse of the RetinaCarl Gardner
2013Landon RabernColoring graphs from almost maximum degree sized palettesHenry Kierstead
2012Lydia BilinskyDynamic Hopf bifurcation in spatially extended excitable systems from neuroscienceSteven Baer
2012Victoria HoranListing Combinatorial ObjectsGlenn Hurlbert
2012Matthew SmithOn-line Coloring of Partial Orders, Circular Arc Graphs, and TreesHenry Kierstead
2012Qing HuangSome Topics Concerning the Singular Value Decomposition and Generalized Singular Value DecompositionR. Eubank
R. Renaut 
2012Jingjin LiMultivariate Generalization of Reduced Major Axis RegressionD. Young
R. Eubank 
2012Shaojie ChangComputational Study of the Cone-Horizontal Cell Feedback Mechanism in the Outer-Plexiform Layer of Cat RetinaS. Baer
C. Gardner 
2012Zhun HanA Chemostat Model of Bacteriophage-Bacteria Interaction with Infinite Distributed DelaysHal Smith
2012Andrew KarlA Correlated Random Effects Model for Nonignorable Missing Data in Value-Added Assessment of Teacher EffectsS. Lohr
Y. Yang 
2012Eric WeberStudents’ Ways of Thinking about Two-Variable Functions and Rate of Change in SpacePat Thompson
2011Adam BlandReachability in K-Colored TournamentsHenry Kierstead
2011Louis DeBiasioOptimal Degree Conditions for Spanning SubgraphsH. Kierstead
A. Czygrinow 
2011Jelena MilovanovicChi-Square Orthogonal Components for Assessing Goodness-of-fit of Multidimensional Multinomial DataD. Young
M. Reiser 
2011Barbara SanbornSymplectic topology and geometric quantum mechanicsSergei Suslov
2011Chase FranksClassifying Lambda modules up to isomorphism and applications to Iwasawa TheoryNancy Childress
2011Cristi Darley Guevara MunozGlobal behavior of finite energy solutions to the focusing nonlinear Schrődinger equation in d-dimensionSvetlana Roudenko
2011Vikram KamatErdős-Ko-Rado theorems: new generalizations, stability analysis and Chvátal’s conjectureGlenn Hurlbert
2011Ana Lage RamierezMathematical Knowledge for Teaching: Exploring a Teacher's Sources of EffectivenessPatrick Thompson
2011Michael ManleySaddle squares in random two person zero sum games with finitely many strategiesKevin Kadell
2011Nura PataniC*-correspondences and topological dynamical systems associated to generalizations of directed graphsS.Kaliszweksi
J. Quigg 
2011Wei ShenA sparsity enforcing framework with TVL1 regularization and its application in MR imaging and source localizationHans Mittelmann
2010Andrew JenningsMonotonicity and manipulability of ordinal and cardinal social choice functionsG. Hurlbert
H. Barcelo
2010David SmithThe first-fit algorithm uses many colors on some interval graphsHenry Kierstead