#### Dissertations

Using Statistical Techniques to Estimate Rooted Species Trees from Unrooted Gene Trees, Ayed Rheal Alanzi

Cancer modeling: from optimal cell renewal to immunotherapy, CESAR L. ALVARADO

Studies of Coherent Synchrotron Radiation with the Discontinuous Galerkin Method, David Bizzozero

Changes in Student Proving Skills and Attitudes Following a Cooperative Learning Seminar, Martha Byrne

Sasakian geometry on lens space bundles over Riemann surfaces, candelario castaneda

Shock formation properties of continuum and kinetic models, Pavlo Cherepanov

Commutators and dyadic paraproducts on weighted Lebesgue spaces, Dae-Won Chung

Nonparametric estimation of first passage time distributions in flowgraph models, David Collins

Nonparametric Bayes approach for a semi-mechanistic pharmacokinetic and pharmacodynamic model, Yan Dong

Arithmetic Deformation Classes Associated to Curves via p-Jet Spaces, Taylor Dupuy

Strongly Nonlinear Phenomena and Singularities in Optical, Hydrodynamic and Biological Systems, Sergey Dyachenko

Stable isotope sourcing using sampling, Erik Erhardt

Analysis of the organization and dynamics of proteins in cell membranes, Flor Aurelia Espinoza Hidalgo

Improving the Material Point Method, Ming Gong

A Survey of Lack-of-fit Tests Based on Sums of Ordered Residuals, Mohammad Hattab

Two topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization, Klaus Heinemann

Arithmetic Differential Subgroups of GL_{n}, Alfonso E. Heras-Llanos

DELAUNAY-LAGUERRE GEOMETRY FOR MACROMOLECULAR MODELING AND IMPLICIT SOLVATION, Michelle Hummel

Positive Sasakian Structures on Links of Weighted Complete Intersection Singularities, Christopher Stuart Inbody

Modeling Trait Evolutionary Processes with More Than One Gene, Huan Jiang

Contributions to partial least squares regression and supervised principal component analysis modeling, Yizho Jiang

Spatial Decay of Rotating Waves and Restrictions on Finite Disks., Sahitya Konda

High Order Hermite and Sobolev Discontinuous Galerkin Methods for Hyperbolic Partial Differential Equations, Adeline Kornelus

Viscous flow past plates, Xu Ling

Contributions to linear models : lack-of-fit test and linear model with singular covariance matrices, Yong Lin

Modeling the Mechanical Response of Polycrystalline Thin Films, Pedro Joaquin Madrid

Lifts of Frobenius on Arithmetic Jet Spaces of Schemes, Erik Medina

Weighted estimates for dyadic operators with complexity, Jean Carlo Pech de Moraes

Standard Closure Operations on Several Rings of Dimension One, Gregory Morre

Steady states, non-steady evolution, pinch-off and post-pinch-off of axisymmetric drops in Stokes flow, Shadi Askarian Naderi

Scan statistics for the online detection of locally anomalous subgraphs, Joshua Neil

Adaptive weighting for flexible estimation in nonparametric regression models., Alvaro Nosedal-Sanchez

Contact homology of toric contact manifolds of Reeb type, Justin Pati

A Study of the Pressure Term in the Navier-Stokes Equations, Michael Payne

Contributions to Statistical Testing, Prediction, and Modeling, John C. Pesko

Modeling Arctic sea ice using the material-point method and an elastic-decohesive rheology, Kara Peterson

On the Equivalence Between the LRT, RLRT and F-test for Testing Variance Components in the Generalized Split-plot Models, Fares Qeadan

Analysis of nonlinear Black Scholes models, Yan Qiu

Arithmetic jet spaces and modular forms, Arnab Saha

Trace formulas for perturbations of operators with Hilbert-Schmidt resolvents, Bishnu Prasad Sedai

Propagation of intense UV filaments and vortices., Alexey Sukhinin

Alternative goodness-of-fit tests for linear models, Siu Kei Sun

Quantification of Stability in Systems of Nonlinear Ordinary Differential Equations, Jason Terry

ABC THEOREMS IN THE FUNCTIONAL CASE, Cristina Toropu

Toroidal Matrix Links: Local Matrix Homotopies and Soft Tori, Fredy Antonio Vides Romero

Monte Carlo strategies for calibration in climate models, Alejandro Villagran-Hernandez

Computational Techniques for Optimal Control of Quantum System, Gregory von Winckel

Well-posedness and Ill-posedness of the Nonlinear Beam Equation, Shuxin Wang

Bayesian Partially Ordered Probit and Logit Models with an Application to Course Redesign, Xueqi Wang

Generalizations of the statistical flowgraph model framework, Richard Warr

Dynamic Generalized Extreme Value via Particle Filters, yonghua wei

Star Operations and Numerical Semigroup Rings, Bryan White

Neyman Smooth-Type Goodness of Fit Tests in Complex Surveys, Lang Zhou

#### Theses

Orthogonality and convergence of discrete Zernike polynomials, Joseph Allen

The mathematics of the epicycloid : a historical journey with a modern perspective, Precious Andrew

The Hilbert Transform as an Average of Dyadic Shift Operators, Nuriye Atasever

The Diophantine Equation, Frederic C. Barnett

A Comparison of the Accuracy of Finite Difference Methods and Variational Methods in the Numerical Solution of Partial Differential Equations, Robert F. Brodsky

Lattice points in disks and strongly convex domains, Dusty Brooks

Airborne particulate contamination effect on high voltage breakdowns during tube conditioning, Armida J. Carbajal

High performance damper optimization using computer simulation and design of experiments, Alex Castrounis

What Affects Parents’ Choice of Milk? An Application of Bayesian Model Averaging, Yingzhe Cheng

Some Studies Upon Boolean-Schröder Algebra, Madge Childre

Pell's Equation and nearly equilateral triangles, Laurel Christensen

Estimates for the Zeros of Ultraspherical Polynomials, Frank B. Correia

Interpolation for the Median in a Frequency Distribution, Paul Cox

An Investigation of the Meaning of α3 as a Measure of Skewness, John W. Coy

The Use of Kamke's Transformation in Approximating the Zeros of Orthogonal Polynomials, Robert L. Daniels

Comparison of two methods in estimating standard error of simulated moments estimators for generalized linear mixed models, Danielle K. Duran

Performance Analysis and Optimization of Hermite Methods on NVIDIA GPUs Using CUDA, Evan T. Dye

Upon the Asymptotic Representation of Entire Functions Where the General Coefficient is the Product of Two Gamma Functions, James R. Ellis

The Efficiency of Approximation Formulae for Determining the Rate of Interest in Amortization Schedules, Wade Ellis

A Generalized Confidence Interval approach to comparing log-normal means, with application, Bose Falk

Upon the Asymptotic Representation of Certain Entire Functions in Distant Portions of the Plane, Abraham Franck

The relationship of quizzing and student success in a college level core statistics course, David Glavin

Studies Arising from a Problem in the Calculus of Variations, John Gonzalez

Optimal Experimental Design to Characterize a Wave Source Using Dosimeter Measurements, Renee L. Gooding

The Variation Problems of Weierstrass-Bliss and Radon, Douglas M. Gragg

Two cylindrical vortex sheets : evolution and singularity formation, Johnson Jeremy

A Method of Changing Certain Infinite Series To New But Equivalent Series, Moneta Gunilla Johnson

The Evolution of the Concept of Axiom, William Fred Jones

Jost Functions for Jacobi Operators with Super-exponentially Decaying Parameters, Fred Kaul

A Numerical Treatment of One-Dimensional Non-Steady Compressible Flows, Paul J. Kazek

Social Network Analysis of Peer Influence on Adolescent Smoking, Gregory Lambert

The Darboux Inverse Problem in the Calculus of Variations, Frank O. Lane

The Asymptotic Development of a Special Type of Power Series, David A. Lawson

Application of model selection techniques and measures of agreement to advertising data, Min A. Lee

Mechanistic Plug-And-Play Models for Understanding the Impact of Control and Climate on Seasonal Dengue Dynamics in Iquitos, Peru, Nathan Levick

Using Bayesian Statistics to Model the Reliability of Complex Weapon Systems, Rebecca Lilley

Deterministic and Probabilistic Methods for Seismic Source Inversion, Juan Pablo Madrigal Cianci

Closure Operations on Subgroups, Paige Mankey

Some Applications of Vector Methods to the Geometry of the Triangle, Hazel Lolita Mason

Some Notes on Compressive Sensing, Sara Mehraban

Development of scoring rubrics and pre-service teachers ability to validate mathematical proofs, Timothy J. Middleton

A Study of Certain Substitution Groups, Merle Mitchell

Some Applications of the Principles of Isomorphism and Variation to the Teaching of Geometry, Ralph Mock

Optimal control problems, curves of pursuit, Svetlana Moiseeva