Graduate Students Research
Graduate Students Research
Dissertations can be read on the Mason Archival Repository Service (MARS) site.
| NAME | DISSERTATION | ADVISOR | YEAR | |
| Aleyah Dawkins | Topics in Extremal and Computational Graph Theory | Geir Agnarsson | 2024 | |
| Elizabeth Dinkelman | Combinatorial Aspects of the Alternating Sign Matrix Polytope | Walter Morris | 2024 | |
| Mohammed Alshehri | Randomized Sketching for Dynamic Optimization and Inexact Adaptive Semismooth Newton Methods | Harbir Antil | 2023 | |
| Heath G. Camphire | Determining the Betti numbers of $R/(x^{p^e},y^{p^e},z^{p^e})$ for most even degree hypersurfaces in odd characteristic | Rebecca RG | 2023 | |
| Tyler R Russ | Helly-type Theorems on Support Lines for Families of Congruent Disks in the Plane | Valeriu Soltan | 2023 | |
| David Lee Sayre | Neuromorphic Imaging: Modeling, Bilevel Optimization, and Generalized Nash Equilibrium | Harbir Antil | 2023 | |
| Hannah Klawa | Globally Perinormal Domains and Graded Perinormality | Neil Epstein | 2023 | |
| Deanna Easley | Higher Order Kalman Filtering for Nonlinear Systems | Tyrus Berry | 2022 | |
| Peter Rizzi | On Validated Equilibria and Bifurcations in Materials Science and Stochastic Dynamics | Thomas Wanner | 2022 | |
| Cigole Thomas | Stratification and Arithmetic Dynamics on Character Varieties | Sean Lawton | 2022 | |
| Mahendra Panagoda | Convergence Analysis and Bilevel Optimization Algorithms for Matrix Completion Problems | Tyrus Berry and Harbir Antil | 2021 | |
| Theodor Felix Rafael Arndt | Variational and Quasi-variational Problems with Gradient Constraints and Applications to Sandpile Growth | Carlos Rautenberg | 2021 | |
| Deepanshu Verma | Optimal Control Problems Constrained by Fractional PDES and Application to Deep Neural Networks | Harbir Antil | 2021 | |
| Shams Alyusof | Weighted Composition Operators from Analytic Function Spaces into a Class of Weighted-Type Banach Spaces | Flavia Colonna | 2021 | |
| Jacob Farinholt | Classes of High-Prformance Quantum LDPC Codes from Finite Projective Geometrics | James Lawrence | 2021 | |
| Sayomi Kamimoto | Parameter-Dependent Dynamics of Spatial-Temporal Systems | Evelyn Sander | 2021 | |
| Vandana Saini | Period-Doubling Cascades in One and Two Parameter Maps | Evelyn Sander | 2021 | |
| Jeffrey Snider | New Optimization Based Methodology for Calculating Thermodynamic Equilibria and Quantifying Uncertainties | Maria Emelianenko and Igor Griva | 2021 | |
| Ryan Vaughn | Diffusion Maps for Manifolds with Boundary | Timothy Sauer | 2020 | |
| Ratna Khatri | Role of Nonlocal Operators in lnverse and Deep Learning Problems | Harbir Antil | 2020 | |
| Stephen Wheatley | Stone-Czech Remainders and 2-Homeomorphisms | Ronald Levy | 2020 | |
| Thomas Ales | Algebra, Combinatorics, and Computation of Certain Tight Closure Invariants in Stanley-Reisner Rings | Neil Epstein | 2019 | |
| Munirah Aljuaid | The Operator Theory on Some Spaces of Harmonic Mappings | Flavia Colonna | 2019 | |
| Brent Gorbutt | The Product Structure of the S1-Equivariant Cohomology Ring of the Peterson Variety in Lie Type A^{n-1} | Rebecca Goldin | 2019 | |
| Jack Love | Stability and Classification of Polygon Spaces | Sean Lawton | 2019 | |
| Matthew Gerhart | Lubrication Theory Interaction with Porous Media Subject to Permeability and Boundary Conditions | Daniel Anderson | 2018 | |
| Alathea Jensen | Self-polar Polytopes and Sequential Importance Sampling Algorithms | James Lawrence | 2018 | |
| Shauna Revay | Unions of Riesz Bases of Exponentials for Bandlimited Signals | David Walnut | 2018 | |
| Marilyn Vazquez Landrove | Consistency of Density Based Clustering & Its Application to Image Segmentation | Timothy Sauer | 2018 | |
| Diego Torrejon | Generalized Master Equations for Continuous Time Random Walks and their Application to Modeling Coarsening | Maria Emelianenko | 2017 | |
| Elie Alhajjar | A New Valuation on Lattice Polytopes | James Lawrence | 2017 | |
| Manal Badgaish | Modeling, Analysis, and Computation of Non-Linear Soft Tissue Interaction with Flow Dynamics with Applications to Aneurysms | Padmanabhan Seshaiyer | 2017 | |
| Nacir Hmidouch | Weighted Composition Operators Acting on Some Classes of Banach Spaces of Analytic Functions | Flavia Colonna | 2017 | |
| Samuel Mendelson | Matrix Algebras: Equivalent Ring Relations and Special Presentations | Geir Agnarsson | 2017 | |
| Patrick O'Neil | Analyzing and Extending the Distance-to-Measure Gradient Flow Using Higher Order Voronoi Diagrams | Thomas Wanner | 2017 | |
| George Whelan | Generalized Depth and Associated Primes in the Perfect Closure | Neil Epstein | 2017 | |
| Rachel Locke | Multiplication Operators in Discrete Settings of an Infinite Graph and the Discrete Zygmund Space | Flavia Colonna | 2016 | |
| Thomas Stephens | Topological Methods for Evolution Equations | Thomas Wanner | 2016 | |
| Lokuge Hasitha de Silva | Large Deviations and Rare Event Simulation for Portfolio Credit Risk | Anand Vidyashankar | 2016 | |
| Michael Crone | Dynamics of Harvested Resources, with Emphasis on Commercially Exploited Fisheries | Evelyn Sander | 2015 | |
| Amy Schmidt | Properties of Rings and of Ring Extensions That Are Invariant Under Group Action | Jay Shapiro | 2015 | |
| Timothy Long | Ring Extensions Involving Amalgamated Duplications | Jay Shapiro | 2014 | |
| Jonathan Beagley | Extremal Combinatorics in Geometry and Graph Theory | Walter Morris | 2013 | |
| Tyrus Berry | Model Free Techniques for Reduction of High-Dimensional Dynamics | Timothy Sauer | 2013 | |
| Zichao Di | A Multigrid Optimization Framework for Vector Quantization | Stephan Nash and Maria Emelianenko | 2013 | |
| Cynthia Merrick | Some Properties of Simplicial Geometries | Jim Lawrence | 2013 | |
| Maziar Raissi | Multi-fidelity Stochastic Collocation Methods Using Model Reduction Techniques | Padmanabhan Seshaiyer | 2013 | |
| David Johannsen | The Geometry of the Quotient Stack Arising from a Stacky Fan | Rebecca Goldin | 2013 | |
| Lars Aiken | Star-covering properties and countability conditions | Ronald Levy | 2012 | |
| Gregory Cochran | Optimal Sampling of Random Fields for Topological Analysis | Thomas Wanner | 2011 | |
| Andrew Samuelson | Analytical and Computational Methods for Fluid-Structure Interaction Applications to Aneurysms | Padmanabhan Seshaiyer | 2011 | |
| Keith Fox | Characterizing Witnesses to the Non-Normality of INw, and the Necessity of Arcs in Some Rim-Finite Spaces | John Kulesza | 2011 | |
| Javed Siddique | Newtonian and non-Newtonian Flows into Deformable Porous Materials | Daniel Anderson | 2009 | |
| Robert Allen | A Class of Operators with Symbol Acting on the Bloch Space of a Bounded Homogeneous | Flavia Colonna | 2009 | |
| Jill Dunham | On Extremal Coin Graphs, Flowers, and Their Rational Representations | Geir Agnarsson | 2009 |