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Theses/Projects/Dissertations from 2023

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DNA SELF-ASSEMBLY OF TRAPEZOHEDRAL GRAPHS, Hytham Abdelkarim

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An Exposition of the Curvature of Warped Product Manifolds, Angelina Bisson

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Jackknife Empirical Likelihood Tests for Equality of Generalized Lorenz Curves, Anton Butenko

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MATHEMATICS BEHIND MACHINE LEARNING, Rim Hammoud

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Statistical Analysis of Health Habits for Incoming College Students, Wendy Isamara Lizarraga Noriega

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Reverse Mathematics of Ramsey's Theorem, Nikolay Maslov

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Distance Correlation Based Feature Selection in Random Forest, Jose Munoz-Lopez

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Constructing Hyperbolic Polygons in the Poincaré Disk, Akram Zakaria Samweil

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KNOT EQUIVALENCE, Jacob Trubey

Theses/Projects/Dissertations from 2022

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SYMMETRIC GENERATIONS AND AN ALGORITHM TO PROVE RELATIONS, Diddier Andrade

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The Examination of the Arithmetic Surface (3, 5) Over Q, Rachel J. Arguelles

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Error Terms for the Trapezoid, Midpoint, and Simpson's Rules, Jessica E. Coen

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de Rham Cohomology, Homotopy Invariance and the Mayer-Vietoris Sequence, Stacey Elizabeth Cox

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Symmetric Generation, Ana Gonzalez

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SYMMETRIC PRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS, Samar Mikhail Kasouha

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Simple Groups and Related Topics, Simrandeep Kaur

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Homomorphic Images and Related Topics, Alejandro Martinez

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LATTICE REDUCTION ALGORITHMS, Juan Ortega

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THE DECOMPOSITION OF THE SPACE OF ALGEBRAIC CURVATURE TENSORS, Katelyn Sage Risinger

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Verifying Sudoku Puzzles, Chelsea Schweer

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AN EXPOSITION OF ELLIPTIC CURVE CRYPTOGRAPHY, Travis Severns

Theses/Projects/Dissertations from 2021

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Non-Abelian Finite Simple Groups as Homomorphic Images, Sandra Bahena

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Matroids Determinable by Two Partial Representations, Aurora Calderon Dojaquez

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SYMMETRIC REPRESENTATIONS OF FINITE GROUPS AND RELATED TOPICS, Connie Corona

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Symmetric Presentation of Finite Groups, and Related Topics, Marina Michelle Duchesne

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MEASURE AND INTEGRATION, JeongHwan Lee

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A Study in Applications of Continued Fractions, Karen Lynn Parrish

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Partial Representations for Ternary Matroids, Ebony Perez

Theses/Projects/Dissertations from 2020

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Sum of Cubes of the First n Integers, Obiamaka L. Agu

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Permutation and Monomial Progenitors, Crystal Diaz

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Tile Based Self-Assembly of the Rook's Graph, Ernesto Gonzalez

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Research In Short Term Actuarial Modeling, Elijah Howells

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Hyperbolic Triangle Groups, Sergey Katykhin

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Exploring Matroid Minors, Jonathan Lara Tejeda

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DNA COMPLEXES OF ONE BOND-EDGE TYPE, Andrew Tyler Lavengood-Ryan

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Modeling the Spread of Measles, Alexandria Le Beau

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Symmetric Presentations and Related Topics, Mayra McGrath

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Minimal Surfaces and The Weierstrass-Enneper Representation, Evan Snyder

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ASSESSING STUDENT UNDERSTANDING WHILE SOLVING LINEAR EQUATIONS USING FLOWCHARTS AND ALGEBRAIC METHODS, Edima Umanah

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Excluded minors for nearly-paving matroids, Vanessa Natalie Vega

Theses/Projects/Dissertations from 2019

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Fuchsian Groups, Bob Anaya

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Tribonacci Convolution Triangle, Rosa Davila

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VANISHING LOCAL SCALAR INVARIANTS ON GENERALIZED PLANE WAVE MANIFOLDS, Brian Matthew Friday

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Analogues Between Leibniz's Harmonic Triangle and Pascal's Arithmetic Triangle, Lacey Taylor James

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Geodesics on Generalized Plane Wave Manifolds, Moises Pena

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Algebraic Methods for Proving Geometric Theorems, Lynn Redman

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Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle, Antonio Saucedo Jr.

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THE EFFECTIVENESS OF DYNAMIC MATHEMATICAL SOFTWARE IN THE INSTRUCTION OF THE UNIT CIRCLE, Edward Simons

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CALCULUS REMEDIATION AS AN INDICATOR FOR SUCCESS ON THE CALCULUS AP EXAM, Ty Stockham

Theses/Projects/Dissertations from 2018

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PROGENITORS, SYMMETRIC PRESENTATIONS AND CONSTRUCTIONS, Diana Aguirre

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Monomial Progenitors and Related Topics, Madai Obaid Alnominy

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Progenitors Involving Simple Groups, Nicholas R. Andujo

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Simple Groups, Progenitors, and Related Topics, Angelica Baccari

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Exploring Flag Matroids and Duality, Zachary Garcia

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Images of Permutation and Monomial Progenitors, Shirley Marina Juan

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MODERN CRYPTOGRAPHY, Samuel Lopez

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Progenitors, Symmetric Presentations, and Related Topics, Joana Viridiana Luna

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Symmetric Presentations, Representations, and Related Topics, Adam Manriquez

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Toroidal Embeddings and Desingularization, LEON NGUYEN

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THE STRUGGLE WITH INVERSE FUNCTIONS DOING AND UNDOING PROCESS, Jesus Nolasco

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Tutte-Equivalent Matroids, Maria Margarita Rocha

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Symmetric Presentations and Double Coset Enumeration, Charles Seager

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MANUAL SYMMETRIC GENERATION, Joel Webster

Theses/Projects/Dissertations from 2017

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Investigation of Finite Groups Through Progenitors, Charles Baccari

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CONSTRUCTION OF HOMOMORPHIC IMAGES, Erica Fernandez

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Making Models with Bayes, Pilar Olid

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An Introduction to Lie Algebra, Amanda Renee Talley

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SIMPLE AND SEMI-SIMPLE ARTINIAN RINGS, Ulyses Velasco

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CONSTRUCTION OF FINITE GROUP, Michelle SoYeong Yeo

Theses/Projects/Dissertations from 2016

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Upset Paths and 2-Majority Tournaments, Rana Ali Alshaikh

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Regular Round Matroids, Svetlana Borissova

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GEODESICS IN LORENTZIAN MANIFOLDS, Amir A. Botros

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REALIZING TOURNAMENTS AS MODELS FOR K-MAJORITY VOTING, Gina Marie Cheney

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Solving Absolute Value Equations and Inequalities on a Number Line, Melinda A. Curtis

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BIO-MATHEMATICS: INTRODUCTION TO THE MATHEMATICAL MODEL OF THE HEPATITIS C VIRUS, Lucille J. Durfee

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ANALYSIS AND SYNTHESIS OF THE LITERATURE REGARDING ACTIVE AND DIRECT INSTRUCTION AND THEIR PROMOTION OF FLEXIBLE THINKING IN MATHEMATICS, Genelle Elizabeth Gonzalez

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LIFE EXPECTANCY, Ali R. Hassanzadah

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PLANAR GRAPHS, BIPLANAR GRAPHS AND GRAPH THICKNESS, Sean M. Hearon

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A Dual Fano, and Dual Non-Fano Matroidal Network, Stephen Lee Johnson

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Mathematical Reasoning and the Inductive Process: An Examination of The Law of Quadratic Reciprocity, Nitish Mittal

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The Kauffman Bracket and Genus of Alternating Links, Bryan M. Nguyen

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Probabilistic Methods In Information Theory, Erik W. Pachas

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THINKING POKER THROUGH GAME THEORY, Damian Palafox

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Indicators of Future Mathematics Proficiency: Literature Review & Synthesis, Claudia Preciado

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Ádám's Conjecture and Arc Reversal Problems, Claudio D. Salas

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AN INTRODUCTION TO BOOLEAN ALGEBRAS, Amy Schardijn

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The Evolution of Cryptology, Gwendolyn Rae Souza

Theses/Projects/Dissertations from 2015

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SYMMETRIC PRESENTATIONS AND RELATED TOPICS, Mashael U. Alharbi

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Homomorphic Images And Related Topics, Kevin J. Baccari

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Geometric Constructions from an Algebraic Perspective, Betzabe Bojorquez

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Discovering and Applying Geometric Transformations: Transformations to Show Congruence and Similarity, Tamara V. Bonn

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Symmetric Presentations and Generation, Dustin J. Grindstaff

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HILBERT SPACES AND FOURIER SERIES, Terri Joan Harris Mrs.

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SYMMETRIC PRESENTATIONS OF NON-ABELIAN SIMPLE GROUPS, Leonard B. Lamp

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Simple Groups and Related Topics, Manal Abdulkarim Marouf Ms.

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Elliptic Curves, Trinity Mecklenburg

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A Fundamental Unit of O_K, Susana L. Munoz

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CONSTRUCTIONS AND ISOMORPHISM TYPES OF IMAGES, Jessica Luna Ramirez

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Unique Prime Factorization of Ideals in the Ring of Algebraic Integers of an Imaginary Quadratic Number Field, Nolberto Rezola

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ALGEBRA 1 STUDENTS’ ABILITY TO RELATE THE DEFINITION OF A FUNCTION TO ITS REPRESENTATIONS, Sarah A. Thomson