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#### 2019

Operator algebras generated by left invertibles, Derek DeSantis

Admissibility of C*-Covers and Crossed Products of Operator Algebras, Mitchell A. Hamidi

Unbounded Derivations of C*-algebras and the Heisenberg Commutation Relation, Lara M. Ismert

The Derived Category of a Locally Complete Intersection Ring, Joshua Pollitz

Sequential Differences in Nabla Fractional Calculus, Ariel Setniker

The *T*_{3},*T*_{4}-conjecture for links, Katie Tucker

#### 2018

Design and Analysis of Graph-based Codes Using Algebraic Lifts and Decoding Networks, Allison Beemer

Graphs with few spanning substructures, Jessica De Silva

Fractional Difference Operators and Related Boundary Value Problems, Scott C. Gensler

Green's Functions and Lyapunov Inequalities for Nabla Caputo Boundary Value Problems, Areeba Ikram

On the well-posedness and global boundary controllability of a nonlinear beam model, Jessie Jamieson

Resolutions of Finite Length Modules over Complete Intersections, Seth Lindokken

On Coding for Partial Erasure Channels, Carolyn Mayer

High Cognitive Demand Examples in Precalculus: Examining the Work and Knowledge Entailed in Enactment, Erica R. Miller

A Tensor's Torsion, Neil Steinburg

Properties and Convergence of State-based Laplacians, Kelsey Wells

#### 2017

The Existence of Solutions for a Nonlinear, Fractional Self-Adjoint Difference Equation, Kevin Ahrendt

Ideal Containments under Flat Extensions and Interpolation on Linear Systems in **P**^{2}, Solomon Akesseh

Stable Cohomology Of Local Rings And Castelnuovo-Mumford Regularity Of Graded Modules, Luigi Ferraro

Languages, geodesics, and HNN extensions, Maranda Franke

Antichains and Diameters of Set Systems, Brent McKain

#### 2016

Rigidity of the Frobenius, Matlis Reflexivity, and Minimal Flat Resolutions, Douglas J. Dailey

Management of Invasive Species using Optimal Control Theory, Christina J. Edholm

Cohen-Macaulay Dimension for Coherent Rings, Rebecca Egg

Adian inverse semigroups, Muhammad Inam

Homological characterizations of quasi-complete intersections, Jason M. Lutz

Bridge spectra of cables of 2-bridge knots, Nicholas John Owad

Applications of Discrete Mathematics for Understanding Dynamics of Synapses and Networks in Neuroscience, Caitlyn Parmelee

A Caputo Boundary Value Problem in Nabla Fractional Calculus, Julia St. Goar

Stable local cohomology and cosupport, Peder Thompson

#### 2015

Graph centers, hypergraph degree sequences, and induced-saturation, Sarah Lynne Behrens

Knörrer Periodicity and Bott Periodicity, Michael K. Brown

The Strict Higher Grothendieck Integral, Scott W. Dyer

Invariant Basis Number and Basis Types for C*-Algebras, Philip M. Gipson

Bioinformatic Game Theory and Its Application to Cluster Multi-domain Proteins, Brittney Keel

Extremal Results for the Number of Matchings and Independent Sets, Lauren Keough

Crosscap Number: Handcuff Graphs and Unknotting Number, Anne Kerian

Tame Filling Functions and Closure Properties, Anisah Nu'Man

Analysis of Neuronal Sequences Using Pairwise Biases, Zachary Roth

Systems of parameters and the Cohen-Macaulay property, Katharine Shultis

Local and Nonlocal Models in Thin-Plate and Bridge Dynamics, Jeremy Trageser

Betti sequences over local rings and connected sums of Gorenstein rings, Zheng Yang

#### 2014

Boundary Value Problems of Nabla Fractional Difference Equations, Abigail M. Brackins

Results on edge-colored graphs and pancyclicity, James Carraher

An Applied Functional and Numerical Analysis of a 3-D Fluid-Structure Interactive PDE, Thomas J. Clark

Algebraic Properties of Ext-Modules over Complete Intersections, Jason Hardin

Combinatorial and Algebraic Coding Techniques for Flash Memory Storage, Kathryn A. Haymaker

Well-posedness and stability of a semilinear Mindlin-Timoshenko plate model, Pei Pei

The Neural Ring: Using Algebraic Geometry to Analyze Neural Codes, Nora Youngs

#### 2013

Development and Application of Difference and Fractional Calculus on Discrete Time Scales, Tanner J. Auch

BOUNDARY VALUE PROBLEMS FOR DISCRETE FRACTIONAL EQUATIONS, Pushp R. Awasthi

Embedding and Nonembedding Results for R. Thompson's Group V and Related Groups, Nathan Corwin

Periodic modules over Gorenstein local rings, Amanda Croll

Results on Containments and Resurgences, with a Focus on Ideals of Points in the Plane, Annika Denkert

REGULARITY FOR SOLUTIONS TO PARABOLIC SYSTEMS AND NONLOCAL MINIMIZATION PROBLEMS, Joe Geisbauer

Decompositions of Betti Diagrams, Courtney Gibbons

Symbolic Powers of Ideals in *k*[**P*** ^{N}*], Michael Janssen

Closure and homological properties of (auto)stackable groups, Ashley Johnson

Random search models of foraging behavior: theory, simulation, and observation., Ben C. Nolting

Geometric Study of the Category of Matrix Factorizations, Xuan Yu

#### 2012

BOUNDARY VALUE PROBLEMS FOR DISCRETE FRACTIONAL EQUATIONS, Khulud Alyousef

PRIME IDEALS IN TWO-DIMENSIONAL NOETHERIAN DOMAINS AND FIBER PRODUCTS AND CONNECTED SUMS, Ela Celikbas

Modeling and Mathematical Analysis of Plant Models in Ecology, Eric A. Eager

An Analysis of Nonlocal Boundary Value Problems of Fractional and Integer Order, Christopher Steven Goodrich

SYSTEMS OF NONLINEAR WAVE EQUATIONS WITH DAMPING AND SUPERCRITICAL SOURCES, Yanqiu Guo

Commutative Rings Graded by Abelian Groups, Brian P. Johnson

The Weak Discrepancy and Linear Extension Diameter of Grids and Other Posets, Katherine Victoria Johnson

Combinatorics Using Computational Methods, Derrick Stolee

#### 2011

On the Betti Number of Differential Modules, Justin DeVries

On Morrey Spaces in the Calculus of Variations, Kyle Fey

Formalizing Categorical and Algebraic Constructions in Operator Theory, William Benjamin Grilliette

The Theory of Discrete Fractional Calculus: Development and Application, Michael T. Holm

Covariant Representations of C*-dynamical systems Involving Compact Groups, Firuz Kamalov

Homology of Artinian Modules Over Commutative Noetherian Rings, Micah J. Leamer

Annihilators of Local Cohomology Modules, Laura Lynch

Groups and Semigroups Generated by Automata, David McCune

Hilbert-Samuel and Hilbert-Kunz Functions of Zero-Dimensional Ideals, Lori A. McDonnell

On a Family of Generalized Wiener Spaces and Applications, Ian Pierce

EXTREMAL TREES AND RECONSTRUCTION, Andrew Ray

Packings and Realizations of Degree Sequences with Specified Substructures, Tyler Seacrest

Global Well-Posedness for a Nonlinear Wave Equation with p-Laplacian Damping, Zahava Wilstein

#### 2010

Properties of the Generalized Laplace Transform and Transport Partial Dynamic Equation on Time Scales, Chris R. Ahrendt

Applications of Linear Programming to Coding Theory, Nathan Axvig

The Cohomology of Modules over a Complete Intersection Ring, Jesse Burke

Vanishing of Ext and Tor over complete intersections, Olgur Celikbas

Mathematical Modeling of Optimal Seasonal Reproductive Strategies and a Comparison of Long-Term Viabilities of Annuals and Perennials, Anthony DeLegge

#### 2009

Fan Cohomology and Its Application to Equivariant K-Theory of Toric Varieties, Suanne Au

Combinatorial and Commutative Manipulations in Feynman's Operational Calculi for Noncommuting Operators, Duane Einfeld

Fan Cohomology and Equivariant Chow Rings of Toric Varieties, Mu-wan Huang

Modeling and Analysis of Biological Populations, Joan Lubben

A Computational Study of the Effects of Temperature Variation on Turtle Egg Development, Sex Determination, and Population Dynamics, Amy L. Parrott

#### 2008

*C**-Extreme Points of the Generalized State Space of a Commutative *C**-Algebra, Martha Gregg

OSCILLATION THEORY OF DYNAMIC EQUATIONS ON TIME SCALES, Raegan J. Higgins

A Theory of Non-Noetherian Gorenstein Rings, Livia M. Miller

#### 2007

Algebraic Geometric Codes on Anticanonical Surfaces, Jennifer A. Davis

Two Problems in Extremal Set Theory, Joshua Brown Kramer

#### 2004

Factorability in the ring Z[√–5], Laura Lynch

Numerical Integration of Linear and Nonlinear Wave Equations, Laura Lynch