PhD Dissertations | School of Mathematical and Statistical Sciences

Year	Name	Dissertation Title	Advisor
May 2019	Wendy K. Caldwell	Differential Equation Models for Understanding Phenomena beyond Experimental Capabilities	Stephen Wirkus
May 2019	Benjamin Carrillo	On K-Derived Quartics and Invariants of Local Fields	John Jones
May 2019	Neil Hatfield	Students' Meanings for Stochastic Process While Developing a Conception of Distribution	Patrick Thompson
May 2019	Tho Nguyen Xuan	Some Diophantine Problems	Andrew Bremner
May 2019	Roy Oursler	On the Existence of Loose Cycle Tilings and Rainbow Cycles	Andrzej Czygrinow
May 2019	Stephanie Reed	Rigorous Proofs of Old Conjectures and New Results for Stochastic Spatial Models in Econophysics	Nicolas Lanchier
May 2019	Matthew Weber	Investigating the Advancement of Middle School Mathematics Teachers' Meanings for Partitive Division by Fractional Values of Quantities	April Strom, Patrick Thompson
May 2019	Joseph Wells	Hybrid Subgroups of Complex Hyperbolic Lattices	Julien Paupert
May 2019	Ke Wu	Parametrically Forced Rotating and/or Stratified Confined Flows	Juan Lopez, Bruno Welfert
May 2019	Jason Yalim	Parametric Forcing of Confined and Stratified Flows	Bruno Welfert, Juan Lopez
Dec 2018	Khalaf Matar Alanazi	A Rabies Model with Distributed Latent Period and Territorial and Diffusing Rabid Foxes	Horst Thieme
Dec 2018	Brent Knutson	Pattern Identification and Analysis in Urban Flows	Wenbo Tang
Dec 2018	Alan O’Bryan	Exponential Growth and Online Learning Environments: Designing for and studying the development of student meanings in online courses	Marilyn Carlson
Aug 2018	Juan Durazo	Local Ensemble Transform Kalman Filter for Earth-System Models: An application to Extreme Events	Eric Kostelich
Aug 2018	Kamaldeen O. Okuneye	Mathematics of Climate Change and Mosquito-borne Disease Dynamics	Abba Gumel
May 2018	Robert Buscaglia	Supervised and Ensemble Classification of Multivariate Functional Data: Applications to Lupus Diagnosis	Yiannis Kamarianakis
May 2018	Mudiyanselage 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 2018	Mario Giacomazzo	Three Essays on Shrinkage Estimation and Model Selection of Linear and Nonlinear Time Series Models	Yiannis Kamarianakis
May 2018	Brady Gilg	Critical Coupling and Synchronized Clusters in Arbitrary Networks of Kuramoto Oscillators	Dieter Armbruster
May 2018	Katherine Irimata	Essays on the Identification and Modeling of Variance	Jeffrey Wilson
May 2018	Kyle Irimata	Three Essays on Correlated Binary Outcomes: Detection and Appropriate Models	Jeffrey Wilson
May 2018	Kirk T. Kayser	The Economics of Need-based Transfers	Dieter Armbruster
May 2018	Younghwan Kim	On the Uncrossing Partial Order on Matchings	Susanna Fishel
May 2018	Marisabel Rodriguez Messan	Understanding the Emerging Behaviors and Demands for the Colony Success of Social Insects: A Mathematical Approach	Yun Kang
May 2018	Emily Ginamarie Kuper Flores	Sparky the Saguaro: Teaching Experiments Examining Students' Development of the Idea of Logarithm	Marilyn Carlson
May 2018	Theresa Scarnati	Recent Techniques for Regularization in Partial Differential Equations and Imaging	Anne Gelb Rodrigo Platte
May 2018	Phillip Morgan Walker	Effective-diffusion for general nonautonomous systems	Wenbo Tang
May 2018	Meng Wang	Spatio-temporal Statistical Modeling: Climate Impacts due to Bioenergy Crop Expansion	Yiannis Kamarianakis
May 2018	Zhongshen Wang	Locally D-optimal Designs for Generalized Linear Models	John Stufken
May 2018	Jangwon Yie	Some Tur´an-type Problems in Extremal Graph Theory	Andrzej Czygrinow
May 2017	Junfei Zhu	A Power Study of GFfit Statistics as Components of Pearson Chi-Square	Mark Reiser
May 2017	Ruowen Liu	Numerical Issues Arising in the Simulations of Transient Water Flow in Layered Unsaturated Soils	Bruno Welfert
May 2017	Paloma Gutierrez Castillo	Rotating Split-Cylinder Flows	Juan Lopez
May 2017	Alex Farrell	Prey-predator-parasite: an ecosystem model with fragile persistence	Horst Thieme
May 2017	Sultan Al-Suleiman	Toward Enumerating the Chains of Maximum Length of Cambrian and m-eralized Cambrian Lattices	Susanna Fishel
Dec 2016	Kevin Treat	On Chains in the Tamari Lattice	Susanna Fishel
Dec 2016	Bruce Pell	Dynamics and Implications of Data-Based Disease Models in Public Health and Agriculture	Yang Kuang
Dec 2016	Daniel Korytowski	Persistence for "Kill The Winner" nested infection Lotka-Volterra models	Hall Smith
Aug 2016	Cameron Byerley	Secondary Teachers' and Calculus Students' Meanings for Fraction, Measure and Rate of Change	Patrick Thompson
Aug 2016	Erica Rutter	A Mathematical Journey of Cancer Growth	E. Kostelich Y. Kuang
Aug 2016	Arthur Araujo Mitrano	Properties of divergence-free methods for approximation and solution of partial differential equations	Rodrigo Platte
Aug 2016	Nathan Lanfear	The Pauli-Luba'nski Vector in a Group-Theoretical Approach to Relativistic Wave Equations	S. Suslov B. Kotschwar
Aug 2016	Luke Nelson	Toward the Enumeration of Maximal Chains in the Tamari lattices	Susanna Fishel
2016	Stephen Evilsizor	Evolutionary Games as Interacting Particle Systems	Nicolas Lanchier
2016	Frank Marfai	Characterizing Teacher Change Through the Perturbation of Pedagogical Goals	Marilyn Carlson
2016	Dennis Denker	High-Order Methods Exploiting Sparsity with Applications in Imaging and PDEs	Anne Gelb
2016	Adam Morgan	Cuntz-Pimsner Algebras of Twisted Tensor Products of Correspondences and Other Constructions	S. Kaliszewski J. Quigg
2015	Matthew Wienke	An Aggregate Second Order Continuum Model for Transient Production Planning	Dieter Armbruster
2015	Andrea Thatcher	Swarming in Bounded Domains	Dieter Armbruster
2015	Wanchunzi Yu	A Test and Confidence Set for Comparing the Location of Quadratic Growth Curves	Mark Reiser
2015	Utku Ilkturk	Observability Methods in Sensor Scheduling	A. Gelb R. Platte
2015	Michael Tallman	An Examination of the Effect of a Secondary Teacher's Image of Instructional Constraints on His Enacted Subject Matter Knowledge	Marilyn Carlson
2015	Rebecca Everett	Applications of the Droop Cell Quota Model to Data Based Cancer Growth and Treatment Models	Yang Kuang
2015	Ran Wang	On Choosability and Paintability of Graphs	Hal Kierstead
2015	Scott Zinzer	One- and Two-Variable p-adic Measures in Iwasawa Theory	Nancy Childress
2014	Thomas Holeva	A Kinetic Approach to Anomalous Diffusion in Biological Trapping Regions	S. Baer C. Ringhofer
2014	Aaron Packer	Cell Quota Based Population Models and their Applications	Yang Kuang
2014	Yuqin Zhao	Mathematical and Statistical Insights in Evaluating State Dependent Effectiveness of HIV Prevention Interventions	Yang Kuang
2014	Benjamin Robinson	Operator-Valued Frames Associated with Measure Spaces	D. Cochran W. Moran
2014	M'hamed Temkit	Experimental Designs for Generalized Linear Models and Functional Magnetic Resonance Imaging	Ming-Hung Kao
2014	Angela Peace	Stoichiometric Producer-Grazer Models Incorporating the Effects of Excess Food-Nutrient Content on Grazer Dynamics	Yang Kuang
2014	Roberto Alvarez	A Two-Strain Spatiotemporal Mathematical Model of Cancer With Free Boundary Condition	Fabio Milner
2014	Stacey Bowling	Conceptions of Function Composition in College Precalculus Students	Marilyn Carlson
2014	Wen Jin	Persistence of Discrete Dynamical Systems in Infinite Dimensional State Spaces	Horst Thieme
2013	Arturo Valdivia	Alternative Methods via Random Forest to Identify Interactions in a General Framework and Variable Importance in the Context of Value-Added Models	Randall Eubank
2013	Hao Liu	Spatial Spread of Rabies in Wildlife	Yang Kuang
2013	Jonathan Young	Time-Dependent Models of Signal Transduction Networks	Dieter Armbruster
2013	Jun Zhang	A Continuous Latent Factor Model for Non-ignorable Missing Data in Longitudinal Studies	M. Reiser J. Barber
2013	Shawn Elledge	On Minimal Levels of Iwasawa Towers	Nancy Childress
2013	Aviva Halani	Students’ Ways of Thinking about Combinatorics Solution Sets	Kyeong Hah Roh
2013	Chester Ismay	Testing Independence of Parallel Pseudorandom Number Streams: Incorporating the Data’s Multivariate Nature	Randall Eubank
2013	Theodore Molla	On Tiling Directed Graphs with Cycles and Tournaments	Henry Kierstead
2013	Jeremiah Jones	Drift-Diffusion Simulation of the Ephaptic Effect in the Triad Synapse of the Retina	Carl Gardner
2013	Landon Rabern	Coloring graphs from almost maximum degree sized palettes	Henry Kierstead
2012	Lydia Bilinsky	Dynamic Hopf bifurcation in spatially extended excitable systems from neuroscience	Steven Baer
2012	Victoria Horan	Listing Combinatorial Objects	Glenn Hurlbert
2012	Matthew Smith	On-line Coloring of Partial Orders, Circular Arc Graphs, and Trees	Henry Kierstead
2012	Qing Huang	Some Topics Concerning the Singular Value Decomposition and Generalized Singular Value Decomposition	R. Eubank R. Renaut
2012	Jingjin Li	Multivariate Generalization of Reduced Major Axis Regression	D. Young R. Eubank
2012	Shaojie Chang	Computational Study of the Cone-Horizontal Cell Feedback Mechanism in the Outer-Plexiform Layer of Cat Retina	S. Baer C. Gardner
2012	Zhun Han	A Chemostat Model of Bacteriophage-Bacteria Interaction with Infinite Distributed Delays	Hal Smith
2012	Andrew Karl	A Correlated Random Effects Model for Nonignorable Missing Data in Value-Added Assessment of Teacher Effects	S. Lohr Y. Yang
2012	Eric Weber	Students’ Ways of Thinking about Two-Variable Functions and Rate of Change in Space	Pat Thompson
2011	Adam Bland	Reachability in K-Colored Tournaments	Henry Kierstead
2011	Louis DeBiasio	Optimal Degree Conditions for Spanning Subgraphs	H. Kierstead A. Czygrinow
2011	Jelena Milovanovic	Chi-Square Orthogonal Components for Assessing Goodness-of-fit of Multidimensional Multinomial Data	D. Young M. Reiser
2011	Barbara Sanborn	Symplectic topology and geometric quantum mechanics	Sergei Suslov
2011	Chase Franks	Classifying Lambda modules up to isomorphism and applications to Iwasawa Theory	Nancy Childress
2011	Cristi Darley Guevara Munoz	Global behavior of finite energy solutions to the focusing nonlinear Schrődinger equation in d-dimension	Svetlana Roudenko
2011	Vikram Kamat	Erdős-Ko-Rado theorems: new generalizations, stability analysis and Chvátal’s conjecture	Glenn Hurlbert
2011	Ana Lage Ramierez	Mathematical Knowledge for Teaching: Exploring a Teacher's Sources of Effectiveness	Patrick Thompson
2011	Michael Manley	Saddle squares in random two person zero sum games with finitely many strategies	Kevin Kadell
2011	Nura Patani	C*-correspondences and topological dynamical systems associated to generalizations of directed graphs	S.Kaliszweksi J. Quigg
2011	Wei Shen	A sparsity enforcing framework with TVL1 regularization and its application in MR imaging and source localization	Hans Mittelmann
2010	Andrew Jennings	Monotonicity and manipulability of ordinal and cardinal social choice functions	G. Hurlbert H. Barcelo
2010	David Smith	The first-fit algorithm uses many colors on some interval graphs	Henry Kierstead