Mathematics and Statistics student alumni

This page lists graduate alumni of the Department of Mathematics and Statistics whose theses and dissertations are in the UNM Digital Repository. Each entry gives the graduate's name, degree, advisor, and thesis or dissertation title. Click a title to read the full text.

This list is a work in progress. It covers 180 theses and dissertations completed from 2007 to 2026, grouped by the degree date on each title page. The repository does not hold every thesis, so some of our alumni are missing. Are you one of our alumni? Please send corrections, a missing thesis, or news of your career to the Department Advisor.

Jump to a year: 2026 | 2025 | 2024 | 2023 | 2022 | 2021 | 2020 | 2019 | 2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2010 | 2009 | 2008 | 2007

2026

Applied Mathematics

PhD

• Nathaniel T. Kornetzke, PhD, Applied Mathematics. Advisor: Helen Wearing. Dissertation: Uncertainty Quantification for Models of Emerging Infectious Diseases.

MS

• Ly Le, MS, Applied Mathematics. Advisor: Daniel Gomez. Thesis: Boundary Integral Method for a Modified Mullins-Sekerka System.

Pure Mathematics

MS

• Lee Michael Felicetti, MS, Pure Mathematics. Advisor: Maria Cristina Pereyra. Thesis: The Uncertainty Principles.
• Alexander Bram Fritschi, MS, Pure Mathematics. Advisor: Sarah Percival. Thesis: Nerve Constructions and Mapper.

Statistics

PhD

• Sara Hajraf H. Almutiri, PhD, Statistics. Advisor: Jianrong Wu (committee chair: Fletcher Christensen). Dissertation: Bayesian Designs for Two-Arm Clinical Trials with Time-to-Event Endpoints: Incorporating Historical Data through Power Priors.
• Zacharia Stuart, PhD, Statistics. Advisor: Fletcher Christensen. Dissertation: Interpretable Case-Control Inference Through Log-Linear General Location Models.

MS

• Mary S. Hopkins, MS, Statistics. Advisor: James Degnan. Thesis: Continuous Polygenic Trait Evolution under Brownian Motion with Gaussian Mixture Models.

2025

Applied Mathematics

PhD

• Ahsan Ali, PhD, Applied Mathematics. Advisors: Jacob Schroder, James Brannick, and Ben Southworth. Dissertation: Algebraic Multigrid Methods for Nonsymmetric and Indefinite Problems: Theory and Applications.

MS

• Daniel Alcala, MS, Applied Mathematics. Advisor: Jehanzeb Chaudhry. Thesis: Derivation of Adjoint Based Error Estimates for Nonlinear Ordinary Differential Equations with Application to Multistage SIR Models with Demographics.
• Myriam Allred, MS, Applied Mathematics. Advisor: Stephen Lau. Thesis: Toward Simulating 2D Cell Surfaces in a Disk.
• Koshali Hamy Muthunama Gonnage, MS, Applied Mathematics. Advisor: James Degnan (committee chair: Stephen Lau). Thesis: A Data-Driven Approach to Time Series Forecasting and Clustering of U.S. Regional Drug Overdose Mortality.

Pure Mathematics

PhD

• Robert Michael Dukes, PhD, Pure Mathematics. Advisor: Maxim Zinchenko. Dissertation: Minimal Error Functions on Irregular Subsets of the Real Line.
• Stephen Harrison, PhD, Pure Mathematics. Advisor: Anna Skripka. Dissertation: On Sharpest Tail Bounds for Functions of Tail Bounded Random Variables.

MS

• Gabriel Jacob Gress, MS, Pure Mathematics. Advisor: Dimiter Vassilev. Thesis: Kakeya Sets over the Heisenberg Group.

Statistics

MS

• Onyedikachi J. Okeke, MS, Statistics. Advisor: James Degnan. Thesis: Prenatal Exposure to PM2.5 Concentration and Risk of Preterm Birth in New Mexico; A Seasonal Pattern and Spatio-Temporal Modeling.
• Ameer Slim, MS, Statistics. Advisor: James Degnan. Thesis: Unraveling the Impact of Curricular Complexity on Graduation Time: A Causal Analysis in Higher Education.
• David R. Stewart, MS, Statistics. Advisor: Helen Wearing. Thesis: Evaluating the Performance of Bayesian Removal Models for Estimating Population Density and Detecting Trends with Variable Detection Probability.

2024

Applied Mathematics

PhD

• Owen Nicholas Davis, PhD, Applied Mathematics. Advisor: Mohammad Motamed. Dissertation: Mathematically Rigorous Deep Learning Paradigms for Data-Driven Scientific Modeling.
• Kyle Henke, PhD, Applied Mathematics. Advisor: Mohammad Motamed. Dissertation: Analysis and Computation of Constrained Sparse Coding on Emerging non-von Neumann Devices.
• David Alan Vargas, PhD, Applied Mathematics. Advisor: Jacob Schroder. Dissertation: Parallel Multigrid in Time for Chaotic Dynamical Systems.

MS

• Nathan R. Bianco, MS, Applied Mathematics. Advisor: Jacob Schroder. Thesis: Robust Prediction of Charpy Toughness of Additively Manufactured Kovar Using Deep Convolutional Neural Networks.
• Sampson Owusu, MS, Applied Mathematics. Advisor: Stephen Lau. Thesis: Improved rational approximation of near-to-far propagation kernels for the wave equation.

Pure Mathematics

PhD

• Sarah Jane Poiani, PhD, Pure Mathematics. Advisor: Janet Vassilev. Dissertation: On Properties of Pair Operations.

MS

• Daniel W. Havens, MS, Pure Mathematics. Advisor: Maria Cristina Pereyra. Thesis: On the Limitations and Restrictions of the Hardy-Littlewood Circle Method.
• Jiekai Pang, MS, Pure Mathematics. Advisor: Janet Vassilev. Thesis: Operations on Submodules with the Multiplicative and Quotient Properties.

Statistics

PhD

• Xin W. Shore, PhD, Statistics. Advisors: James Degnan and Orrin Myers. Dissertation: Improvement and Evaluation of Multiple Imputation by Heckman's One-Step MLE for Binary MNAR Outcomes and Various Types of MAR Covariates.

MS

• Jaimasan Sutton, MS, Statistics. Advisor: James Degnan. Thesis: Visualization of Species Tree Likelihood Under the Multispecies Coalescent Model.

2023

Applied Mathematics

MS

• Jonathan P. Gutierrez, MS, Applied Mathematics. Advisors: Jehanzeb Chaudhry and Jacob Schroder. Thesis: Using Physics-Informed Neural Networks for Multigrid in Time Coarse Grid Equations.
• Gary Joseph Saavedra, MS, Applied Mathematics. Advisor: Jacob Schroder. Thesis: Multilevel Optimization with Dropout for Neural Networks.

Pure Mathematics

PhD

• Roman Sverdlov, PhD, Pure Mathematics. Advisors: Terry Loring and Dimiter Vassilev. Dissertation: Modified geometries, Clifford algebras and graphs: their impact on discreteness, locality and symmetry.

Statistics

PhD

• Md Rashidul Hasan, PhD, Statistics. Advisors: James Degnan and Abdullah Mueen. Dissertation: Probabilistic Modeling of Social Media Networks, Distinguishing Phylogenetic Networks from Trees, and Fairness in Service Queues.

MS

• Azadeh Golduzian, MS, Statistics. Advisor: James Degnan. Thesis: Bitcoin Price Modeling Using Machine Learning Algorithms.

2022

Applied Mathematics

PhD

• Zachary Stevens, PhD, Applied Mathematics. Advisor: Jehanzeb Chaudhry. Dissertation: Robust Uncertainty Quantification with Analysis of Error in Standard and Non-standard Quantities of Interest.

MS

• Gabriella M. Dalton, MS, Applied Mathematics. Advisor: Stephen Lau. Thesis: Sparse Spectral-Tau Method for the Two-Dimensional Helmholtz Problem Posed on a Rectangular Domain.
• Christian P. Fowler, MS, Applied Mathematics. Advisor: Mohammad Motamed. Thesis: Convexity of Regularized Optimal Transport Dissimilarity Measures for Signed Signals.
• Usame Suud, MS, Applied Mathematics. Advisor: Mohammad Motamed. Thesis: Music Genre Classification by Convolutional Neural Networks.

Pure Mathematics

PhD

• Abdelrahman Mohamed, PhD, Pure Mathematics. Advisor: Dimiter Vassilev. Dissertation: The Obata First Eigenvalue Theorem on a Seven Dimensional Quaternionic Contact Manifold.
• Chamsol Park, PhD, Pure Mathematics. Advisor: Matthew Blair. Dissertation: Eigenfunction Restriction Estimates for Curves with Nonvanishing Geodesic Curvatures in Compact Riemannian Surfaces with Nonpositive Sectional Curvatures.

MS

• Perla A. Maldonado Cortez, MS, Pure Mathematics. Advisor: Janet Vassilev. Thesis: Determining the idealizers of principal monomial ideals over a rational normal curve.

Statistics

PhD

• Sarah Katharine Alver, PhD, Statistics. Advisors: James Degnan and Guoyi Zhang. Dissertation: Measurement Error Modeling Applied to Phylogenetic Inference and Parametric Bootstrap Approach to Multifactor ANOVA Models with Unequal Variances and Unbalanced Data.
• Nikolay Miller, PhD, Statistics. Advisor: Guoyi Zhang. Dissertation: Statistical Extensions of Multi-Task Learning with Semiparametric Methods and Task Diagnostics.
• Jonathan Nenye Odumegwu, PhD, Statistics. Advisor: James Degnan. Dissertation: Heterogeneity of Gene Trees.
• Mohammed Quazi, PhD, Statistics. Advisors: Nathan Jackson and James Degnan. Dissertation: Applications of Machine Learning Algorithms in Materials Science and Bioinformatics.
• Lidong Wang, PhD, Statistics. Advisor: Huining Kang (committee chair: Yan Lu). Dissertation: Statistical Methods for Differential Gene Expression Analysis under the Case-Cohort Design.

MS

• Nichole L. Fluke, MS, Statistics. Advisor: James Degnan. Thesis: Functional Data Analysis of COVID-19.
• Richard Frank Haaker, MS, Statistics. Advisor: James Degnan. Thesis: Estimation of Radium-226 Concentrations in Produced Water from Shale Gas, Tight Gas and Conventional Hydrocarbon Wells.
• Xingya Ma, MS, Statistics. Advisor: Yiliang Zhu (committee chair: James Degnan). Thesis: Mitigation impact of statewide non-pharmaceutical policies on COVID-19: An application of infectious disease transmission model and partially observed Markov process to New Mexico.
• Tabytha Ariel Perez, MS, Statistics. Advisor: James Degnan. Thesis: Effect of phylogeny misestimation on estimating trait evolution parameters.
• Aaron Christopher Segura, MS, Statistics. Advisor: James Degnan. Thesis: Machine Learning Model Comparison and ARMA Simulation of Exhaled Breath Signals Classifying COVID-19 Patients.

2021

Applied Mathematics

MS

• Elijah F. Perez, MS, Applied Mathematics. Advisor: Mohammad Motamed. Thesis: Optimal Transport Driven Bayesian Inversion with Application to Signal Processing.

Pure Mathematics

MS

• Michael Scott Kutzler, MS, Pure Mathematics. Advisor: Maria Cristina Pereyra. Thesis: Sparse Domination of the Martingale Transform.

Statistics

PhD

• Xin Gao, PhD, Statistics. Advisors: Li Li and Li Luo. Dissertation: Decompositions of Total Causal Effect: A Natural Counterfactual Framework Assessing Mediation and Interaction.
• Cristina Murray-Krezan, PhD, Statistics. Advisor: V. Shane Pankratz (committee chair: James Degnan). Dissertation: Extension of the Two-Step Approach for Informative Dropout in Survival Analysis.
• Victoria R C Sieck, PhD, Statistics. Advisor: Fletcher Christensen. Dissertation: Bayesian Methods in Operational Testing: Enhancing Testing Through Combining Information.

MS

• Christina Marie Deffenbaugh, MS, Statistics. Advisor: Erik Erhardt. Thesis: Applications of Evidence Theory to High-Consequence Systems Safety.
• Jessica Reno, MS, Statistics. Advisor: Yiliang Zhu. Thesis: Multiple Baseline Interrupted Time Series: Describing Changes in New Mexico Medicaid Behavioral Health Home Patients' Care.

2020

Applied Mathematics

PhD

• Oleksii Beznosov, PhD, Applied Mathematics. Advisor: Deborah Sulsky. Dissertation: From Wave Propagation to Spin Dynamics: Mathematical and Computational Aspects.
• Anastassiya Semenova, PhD, Applied Mathematics. Advisors: Alexander Korotkevich and Pavel Lushnikov. Dissertation: Numerical Simulations of Nonlinear Waves and Their Stability: Stokes Waves and Nonlinear Schroedinger Equation.

MS

• Nicholas Abel, MS, Applied Mathematics. Advisor: Jacob Schroder. Thesis: Multilevel Asymptotic Parallel-in-Time Techniques for Temporally Oscillatory PDEs.
• Michael V. Bredemann, MS, Applied Mathematics. Advisor: Jens Lorenz. Thesis: Nonlinear Least Squares 3-D Geolocation Solutions using Time Differences of Arrival.
• Ari E. Rappaport, MS, Applied Mathematics. Advisors: Jehanzeb Chaudhry and John Shadid. Thesis: An a posteriori error analysis of stationary incompressible magnetohydrodynamics.
• Justyna O. Sotiris, MS, Applied Mathematics. Advisors: Alexander Korotkevich and Pavel Lushnikov. Thesis: Laser Beam Propagation over Long Distances in Turbulent Media.

Pure Mathematics

MS

• Marshall Brandenburg, MS, Pure Mathematics. Advisor: Alexandru Buium. Thesis: Arithmetic Differential Operators on Z_p^r.
• Ryan Bridges, MS, Pure Mathematics. Advisor: Janet Vassilev. Thesis: Lattice of Maximal-Primary Ideals in Quadratic Orders.
• Pat Lank, MS, Pure Mathematics. Advisor: Alexandru Buium. Thesis: Intrinsic Curvature for Schemes.

Statistics

PhD

• Anastasiia Kim, PhD, Statistics. Advisor: James Degnan. Dissertation: Maximum likelihood estimation of species trees and anomaly zone detection using ranked gene trees.
• Kellin Rumsey, PhD, Statistics. Advisors: Gabriel Huerta and Lauren Hund. Dissertation: Methods of Uncertainty Quantification for Physical Parameters.

MS

• Brandon G. De Flon, MS, Statistics. Advisor: Li Li. Thesis: A Bayesian Network Analysis of the Human Exposure to Escherichia coli Bacteria in the Environment.
• Paul-Yvann Djamen, MS, Statistics. Advisor: Li Li. Thesis: A comparison of variable selection methods using bootstrap samples from environmental metal mixture data.
• Kelli N. Kasper, MS, Statistics. Advisor: Fletcher Christensen. Thesis: Assessing the Validity of Sentiment Analysis Measures through Polychoric Correlation.
• Elizabeth G. Mayer, MS, Statistics. Advisor: Erik Erhardt. Thesis: An Improved Method for Spectroscopic Quality Classification.
• Leah Hollis Puglisi, MS, Statistics. Advisor: Erik Erhardt. Thesis: An analysis of growth of the community integration psychological score in an ethnically diverse population experiencing homelessness in a permanent supportive housing program using hierarchical mixed modeling.
• Clarissa A. Sorensen-Unruh, MS, Statistics. Advisor: James Degnan. Thesis: A Statistical Analysis of the UNM FACETS Design Identity & Beliefs Survey Data.

2019

Applied Mathematics

PhD

• Santosh Pathak, PhD, Applied Mathematics. Advisor: Jens Lorenz. Dissertation: L^∞-Estimates of the Solution of the Navier-Stokes Equations for Periodic Initial Data.

MS

• Alhassan Ahmed, MS, Applied Mathematics. Advisor: Stephen Lau. Thesis: Near-to-Far Field Signal Propagation for the Wave and Maxwell Equations.
• Mst Afroja Akter, MS, Applied Mathematics. Advisor: Mohammad Motamed. Thesis: A Deep Learning Approach to Uncertainty Quantification.
• Jacob E. Shanley, MS, Applied Mathematics. Advisor: Jens Lorenz. Thesis: Practical Modelling of the Vanilla Option Volatility Smile (PDF, 50 MB).
• Masumi Sugiyama, MS, Applied Mathematics. Advisor: Jacob Schroder. Thesis: Optimal Relaxation Weights for Multigrid Reduction in Time (MGRIT).

Statistics

MS

• Eunice Choi, MS, Statistics. Advisor: James Degnan. Thesis: Assessing the efficacy of Home-Based Renal Care using Propensity Scores.

Mathematics Education

MS

• Andrew Taylor, MS, Mathematics Education. Advisor: Michael Nakamaye. Thesis: A Pedagogic Analysis of Linear Algebra Courses.

2018

Applied Mathematics

MS

• Ian J P Crowe-Wright, MS, Applied Mathematics. Advisor: Jens Lorenz. Thesis: Control Theory: The Double Pendulum Inverted on a Cart.
• Bryan R. McCormick, MS, Applied Mathematics. Advisor: Deborah Sulsky. Thesis: Quantitative validation of simulated sea ice displacements.

Statistics

MS

• Lily Stalter, MS, Mathematics (Statistics). Advisor: Fares Qeadan. Thesis: The compensation for few clusters in clustered randomized trials with binary outcomes.

2017

Applied Mathematics

PhD

• Cesar L. Alvarado, PhD, Applied Mathematics. Advisor: Helen Wearing. Dissertation: Cancer modeling: from optimal cell renewal to immunotherapy.
• Adeline Kornelus, PhD, Applied Mathematics. Advisor: Daniel Appelö. Dissertation: High Order Hermite and Sobolev Discontinuous Galerkin Methods for Hyperbolic Partial Differential Equations.
• Denis Albertovich Silantyev, PhD, Applied Mathematics. Advisor: Pavel Lushnikov. Dissertation: Nonlinear Waves, Instabilities and Singularities in Plasma and Hydrodynamics.

MS

• Renee L. Gooding, MS, Applied Mathematics. Advisor: Matthew Pennybacker. Thesis: Optimal Experimental Design to Characterize a Wave Source Using Dosimeter Measurements.
• Juan Pablo Madrigal Cianci, MS, Applied Mathematics. Advisors: Daniel Appelö and Mohammad Motamed. Thesis: Deterministic and Probabilistic Methods for Seismic Source Inversion.

Pure Mathematics

PhD

• Bishnu Prasad Sedai, PhD, Pure Mathematics. Advisor: Anna Skripka. Dissertation: Trace formulas for perturbations of operators with Hilbert-Schmidt resolvents.
• David Edward Weirich, PhD, Pure Mathematics. Advisor: Maria Cristina Pereyra. Dissertation: Weighted Inequalities for Dyadic Operators over Spaces of Homogeneous Type.

Statistics

PhD

• Ayed Rheal Alanzi, PhD, Statistics. Advisor: James Degnan. Dissertation: Using Statistical Techniques to Estimate Rooted Species Trees from Unrooted Gene Trees.
• Huan Jiang, PhD, Statistics. Advisor: James Degnan. Dissertation: Modeling Trait Evolutionary Processes with More Than One Gene.
• John C. Pesko, PhD, Statistics. Advisors: Guoyi Zhang and Ronald Christensen. Dissertation: Contributions to Statistical Testing, Prediction, and Modeling.

MS

• Danielle K. Duran, MS, Statistics. Advisor: Yan Lu. Thesis: Comparison of two methods in estimating standard error of simulated moments estimators for generalized linear mixed models.

Mathematics Education

MS

• Jocelyn Noelle Rios, MS, Mathematics Education. Advisors: Michael Nakamaye and Li Li. Thesis: The Effects of Different Teaching Methods on Student Attitude and Achievement in Calculus Recitations.
• Linh T. Ward, MS, Mathematics Education. Advisor: Erik Erhardt. Thesis: Which factors influence student success in Intermediate Algebra, MATH 101-102-103?

2016

Applied Mathematics

MS

• Nathan Levick, MS, Applied Mathematics. Advisor: Helen Wearing. Thesis: Mechanistic Plug-And-Play Models for Understanding the Impact of Control and Climate on Seasonal Dengue Dynamics in Iquitos, Peru.

Pure Mathematics

PhD

• Erik Medina, PhD, Pure Mathematics. Advisor: Alexandru Buium. Dissertation: Lifts of Frobenius on Arithmetic Jet Spaces of Schemes.
• Gregory Morre, PhD, Pure Mathematics. Advisor: Janet Vassilev. Dissertation: Standard Closure Operations on Several Rings of Dimension One.
• Fredy Antonio Vides Romero, PhD, Pure Mathematics. Advisor: Terry Loring. Dissertation: Toroidal Matrix Links: Local Matrix Homotopies and Soft Tori.

MS

• Fred Kaul II, MS, Pure Mathematics. Advisor: Maxim Zinchenko. Thesis: Jost Functions for Jacobi Operators with Super-exponentially Decaying Parameters.
• Sara Mehraban, MS, Pure Mathematics. Advisor: Maria Cristina Pereyra. Thesis: Some Notes on Compressive Sensing.

Statistics

PhD

• Lang Zhou, PhD, Statistics. Advisors: Yan Lu and Guoyi Zhang. Dissertation: Neyman Smooth-Type Goodness of Fit Tests in Complex Surveys.

MS

• Yingzhe Cheng, MS, Statistics. Advisor: Gabriel Huerta. Thesis: What Affects Parents' Choice of Milk? An Application of Bayesian Model Averaging.
• Min A. Lee, MS, Statistics. Advisor: James Degnan. Thesis: Application of model selection techniques and measures of agreement to advertising data.
• Alvaro Emilio Ulloa Cerna, MS, Statistics. Advisors: Erik Erhardt and Marios Pattichis. Thesis: Data Driven Sample Generator Model with Application to Classification.

2015

Applied Mathematics

PhD

• David Bizzozero, PhD, Applied Mathematics. Advisor: Stephen Lau. Dissertation: Studies of Coherent Synchrotron Radiation with the Discontinuous Galerkin Method.
• Ming Gong, PhD, Applied Mathematics. Advisor: Deborah Sulsky. Dissertation: Improving the Material Point Method.
• Sahitya Konda, PhD, Applied Mathematics. Advisor: Jens Lorenz. Dissertation: Spatial Decay of Rotating Waves and Restrictions on Finite Disks.

Pure Mathematics

MS

• Paige Mankey, MS, Pure Mathematics. Advisor: Janet Vassilev. Thesis: Closure Operations on Subgroups.

Statistics

PhD

• Yan Dong, PhD, Statistics. Advisor: Michele Guindani (committee chair: Ronald Christensen). Dissertation: Nonparametric Bayes approach for a semi-mechanistic pharmacokinetic and pharmacodynamic model.
• Maozhen Gong, PhD, Statistics. Advisor: Gabriel Huerta. Dissertation: Order-Constrained Reference Priors with Implications for Bayesian Isotonic Regression, Analysis of Covariance and Spatial Models.
• Yonghua Wei, PhD, Statistics. Advisor: Gabriel Huerta. Dissertation: Dynamic Generalized Extreme Value via Particle Filters.

MS

• Yuridia Leyva, MS, Statistics. Advisor: Erik Erhardt. Thesis: Per-contact infectivity of HCV associated with injection exposures in a prospective cohort of young injection drug users in San Francisco, CA (UFO Study).

2014

Applied Mathematics

PhD

• Sergey Dyachenko, PhD, Applied Mathematics. Advisors: Pavel Lushnikov and Alexander Korotkevich. Dissertation: Strongly Nonlinear Phenomena and Singularities in Optical, Hydrodynamic and Biological Systems.
• Michelle Hummel, PhD, Applied Mathematics. Advisor: Evangelos Coutsias. Dissertation: Delaunay-Laguerre Geometry for Macromolecular Modeling and Implicit Solvation.

MS

• Evan T. Dye, MS, Applied Mathematics. Advisor: Daniel Appelö. Thesis: Performance Analysis and Optimization of Hermite Methods on NVIDIA GPUs Using CUDA.
• Kaylee Tejeda, MS, Applied Mathematics. Advisor: Stephen Lau. Thesis: On Roots of the Macdonald Function.

Pure Mathematics

PhD

• Candelario Castaneda, PhD, Pure Mathematics. Advisor: Charles Boyer. Dissertation: Sasakian geometry on lens space bundles over Riemann surfaces.
• Alfonso E. Heras-Llanos, PhD, Pure Mathematics. Advisor: Alexandru Buium. Dissertation: Arithmetic Differential Subgroups of GL_n.
• Cristina Toropu, PhD, Pure Mathematics. Advisor: Alexandru Buium. Dissertation: ABC Theorems in the Functional Case.
• Bryan White, PhD, Pure Mathematics. Advisor: Janet Vassilev. Dissertation: Star Operations and Numerical Semigroup Rings.

MS

• Nuriye Atasever, MS, Pure Mathematics. Advisor: Maria Cristina Pereyra. Thesis: The Hilbert Transform as an Average of Dyadic Shift Operators.

Statistics

PhD

• Fares Qeadan, PhD, Statistics. Advisor: Ronald Christensen. Dissertation: On the Equivalence Between the LRT, RLRT and F-test for Testing Variance Components in the Generalized Split-plot Models.
• Xueqin Wang, PhD, Statistics. Advisors: Michael Sonksen and Kristin Umland. Dissertation: Bayesian Partially Ordered Probit and Logit Models with an Application to Course Redesign.

MS

• Bose Falk, MS, Statistics. Advisor: Guoyi Zhang. Thesis: A Generalized Confidence Interval approach to comparing log-normal means, with application.

Mathematics Education

PhD

• Martha Byrne, PhD, Mathematics Education. Advisor: Michael Nakamaye. Dissertation: Changes in Student Proving Skills and Attitudes Following a Cooperative Learning Seminar (PDF, 29 MB).

2013

Applied Mathematics

PhD

• Pedro Joaquin Madrid, PhD, Applied Mathematics. Advisor: Deborah Sulsky. Dissertation: Modeling the Mechanical Response of Polycrystalline Thin Films.
• Michael Payne, PhD, Applied Mathematics. Advisor: Jens Lorenz. Dissertation: A Study of the Pressure Term in the Navier-Stokes Equations.
• Jason Terry, PhD, Applied Mathematics. Advisor: Jens Lorenz. Dissertation: Quantification of Stability in Systems of Nonlinear Ordinary Differential Equations.

MS

• Ambrose Quintana, MS, Applied Mathematics. Advisor: Stephen Lau. Thesis: Preconditioners constructed from the interpolative decomposition for the variable coefficient Poisson problem.

Pure Mathematics

PhD

• Taylor Dupuy, PhD, Pure Mathematics. Advisor: Alexandru Buium. Dissertation: Arithmetic Deformation Classes Associated to Curves via p-Jet Spaces.
• Christopher Stuart Inbody, PhD, Pure Mathematics. Advisor: Charles Boyer. Dissertation: Positive Sasakian Structures on Links of Weighted Complete Intersection Singularities.
• Shuxin Wang, PhD, Pure Mathematics. Advisor: Matthew Blair. Dissertation: Well-posedness and Ill-posedness of the Nonlinear Beam Equation.

MS

• Dusty Brooks, MS, Pure Mathematics. Advisor: Matthew Blair. Thesis: Lattice points in disks and strongly convex domains.

Statistics

PhD

• Mohammad Hattab, PhD, Statistics. Advisor: Ronald Christensen. Dissertation: A Survey of Lack-of-fit Tests Based on Sums of Ordered Residuals.

MS

• Gregory Lambert, MS, Statistics. Advisor: Michael Sonksen. Thesis: Social Network Analysis of Peer Influence on Adolescent Smoking.
• Rebecca Lilley, MS, Statistics. Advisor: Shane Reese (committee chair: Ronald Christensen). Thesis: Using Bayesian Statistics to Model the Reliability of Complex Weapon Systems.

2012

Applied Mathematics

PhD

• Xi Chen, PhD, Applied Mathematics. Advisors: Daniel Appelö and Thomas Hagstrom. Dissertation: Numerical and Analytical Studies of Electromagnetic Waves: Hermite Methods, Supercontinuum Generation, and Multiple Poles in the SEM.
• Ling Xu, PhD, Applied Mathematics. Advisor: Monika Nitsche. Dissertation: Viscous flow past plates.

MS

• Andrea Caroline Schmidt Zweifel, MS, Applied Mathematics. Advisor: Terry Loring (research supervisor: John Singleton, Los Alamos National Laboratory). Thesis: Terrestrial and extraterrestrial radiation sources that move faster than light.
• Craig VanderPloeg, MS, Applied Mathematics. Advisor: Alexander Korotkevich. Thesis: Numerical simulation of traffic flow using a hydrodynamic model.

Pure Mathematics

PhD

• Arnab Saha, PhD, Pure Mathematics. Advisor: Alexandru Buium. Dissertation: Arithmetic jet spaces and modular forms.

Statistics

PhD

• Yong Lin, PhD, Statistics. Advisor: Ronald Christensen. Dissertation: Contributions to linear models: lack-of-fit test and linear model with singular covariance matrices.

MS

• David Glavin, MS, Statistics. Advisor: Kristin Umland. Thesis: The relationship of quizzing and student success in a college level core statistics course.

2011

Applied Mathematics

PhD

• Flor Aurelia Espinoza Hidalgo, PhD, Applied Mathematics. Advisor: Stanly Steinberg. Dissertation: Analysis of the organization and dynamics of proteins in cell membranes.
• Shadi Askarian Naderi, PhD, Applied Mathematics. Advisor: Monika Nitsche. Dissertation: Steady states, non-steady evolution, pinch-off and post-pinch-off of axisymmetric drops in Stokes flow.
• Alexey Sukhinin, PhD, Applied Mathematics. Advisor: Alejandro Aceves. Dissertation: Propagation of intense UV filaments and vortices.
• Gregory von Winckel, PhD, Applied Mathematics. Advisor: Evangelos Coutsias. Dissertation: Computational Techniques for Optimal Control of Quantum Systems.

MS

• Jeremy David Johnson, MS, Applied Mathematics. Advisor: Monika Nitsche. Thesis: Two cylindrical vortex sheets: evolution and singularity formation.
• Svetlana Moiseeva, MS, Applied Mathematics. Advisor: Pedro Embid. Thesis: Optimal control problems, curves of pursuit.
• Paula Danielle Weber, MS, Applied Mathematics. Advisor: Helen Wearing. Thesis: The effects of temperature forcing on dengue dynamics via the extrinsic incubation period.

Pure Mathematics

PhD

• Jean Carlo Pech de Moraes, PhD, Pure Mathematics. Advisor: Maria Cristina Pereyra. Dissertation: Weighted estimates for dyadic operators with complexity.

MS

• Laurie Price, MS, Pure Mathematics. Advisor: Janet Vassilev (committee chair: Dimiter Vassilev). Thesis: Closure operations on the submonoids of the natural numbers.

Statistics

PhD

• Joshua Neil, PhD, Statistics. Advisor: Curtis Storlie. Dissertation: Scan statistics for the online detection of locally anomalous subgraphs.
• Alvaro Nosedal-Sanchez, PhD, Statistics. Advisor: Curtis Storlie. Dissertation: Adaptive weighting for flexible estimation in nonparametric regression models.

Mathematics Education

MS

• Candace Oluwasanmi, MS, Mathematics Education. Advisor: Kristin Umland. Thesis: Achievement, anxiety, self-concept and motivation among college algebra students within a cooperative learning structure.

2010

Applied Mathematics

PhD

• Klaus Heinemann, PhD, Applied Mathematics. Advisor: James Ellison. Dissertation: Two topics in particle accelerator beams: Vlasov-Maxwell treatment of coherent synchrotron radiation and topological treatment of spin polarization.
• Yan Qiu, PhD, Applied Mathematics. Advisor: Jens Lorenz. Dissertation: Analysis of nonlinear Black Scholes models.

MS

• Joseph Allen, MS, Applied Mathematics. Advisor: Pedro Embid. Thesis: Orthogonality and convergence of discrete Zernike polynomials.
• Aaron Mora, MS, Applied Mathematics. Advisor: Pedro Embid. Thesis: Spatial spread of infectious diseases.
• Bea Yu, MS, Applied Mathematics. Advisors: Helen Wearing and Curtis Storlie. Thesis: Quantifying uncertainty in reliability block diagrams.

Pure Mathematics

PhD

• Dae-Won Chung, PhD, Pure Mathematics. Advisor: Maria Cristina Pereyra. Dissertation: Commutators and dyadic paraproducts on weighted Lebesgue spaces.
• Justin Pati, PhD, Pure Mathematics. Advisor: Charles Boyer. Dissertation: Contact homology of toric contact manifolds of Reeb type.

MS

• Laurel Christensen, MS, Pure Mathematics. Advisor: Alexander Stone. Thesis: Pell's Equation and nearly equilateral triangles.

Statistics

PhD

• Richard Warr, PhD, Statistics. Advisor: Aparna Huzurbazar (committee chair: Ronald Christensen). Dissertation: Generalizations of the statistical flowgraph model framework.

MS

• Armida J. Carbajal, MS, Statistics. Advisor: Curtis Storlie. Thesis: Airborne particulate contamination effect on high voltage breakdowns during tube conditioning.

2009

Applied Mathematics

PhD

• Pavlo Cherepanov, PhD, Applied Mathematics. Advisor: Jens Lorenz. Dissertation: Shock formation properties of continuum and kinetic models.

MS

• Etsuko Nonaka, MS, Applied Mathematics. Advisor: Helen Wearing. Thesis: Maintaining pathogens with short infectivity in seasonally structured tick populations: relative importance of three transmission pathways.

Pure Mathematics

MS

• Precious Andrew, MS, Pure Mathematics. Advisor: Alexander Stone. Thesis: The mathematics of the epicycloid: a historical journey with a modern perspective.

Statistics

PhD

• David Collins, PhD, Statistics. Advisor: Aparna Huzurbazar. Dissertation: Nonparametric estimation of first passage time distributions in flowgraph models.
• Erik Erhardt, PhD, Statistics. Advisor: Edward Bedrick. Dissertation: Stable isotope sourcing using sampling.
• Yizhou Jiang, PhD, Statistics. Advisor: Edward Bedrick. Dissertation: Contributions to partial least squares regression and supervised principal component analysis modeling.
• Siu Kei Sun, PhD, Statistics. Advisor: Ronald Christensen. Dissertation: Alternative goodness-of-fit tests for linear models.
• Alejandro Villagran-Hernandez, PhD, Statistics. Advisor: Gabriel Huerta. Dissertation: Monte Carlo strategies for calibration in climate models.

MS

• Alex Castrounis, MS, Mathematics (Statistics). Advisor: Edward Bedrick. Thesis: High performance damper optimization using computer simulation and design of experiments.
• Sumner Williams IV, MS, Statistics. Advisor: Aparna Huzurbazar. Thesis: Using control charts for computer-aided diagnosis of brain images.

Mathematics Education

MS

• Timothy J. Middleton, MS, Mathematics Education. Advisor: Kristin Umland. Thesis: Development of scoring rubrics and pre-service teachers ability to validate mathematical proofs.

2008

Applied Mathematics

PhD

• Kara Peterson, PhD, Applied Mathematics. Advisor: Deborah Sulsky. Dissertation: Modeling Arctic sea ice using the material-point method and an elastic-decohesive rheology.

2007

Applied Mathematics

MS

• Qiao Liang, MS, Applied Mathematics. Advisor: Deborah Sulsky. Thesis: Transmission Dynamics of Avian Influenza Among Poultry with and Without Vaccination (PDF, 36 MB).