**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 |