#### Theses/Dissertations from 2019

Credit Risk Analysis in Peer to Peer Lending Data set: Lending Club, Mohammad Mubasil Bokhari

Investigations of finding all stable solutions of Stable Marriage Problem, Chenyu Chang

Markov Chains in Music Composition, Corey Joseph Chang

The Credit Scorecard Model, Jintao Fang

The Conditional Probability That an Elliptic Curve Has a Rational Subgroup of Order 5 or 7, Meagan Kenney

Polygonal Analogues to the Topological Tverberg and van Kampen-Flores Theorems, Leah Leiner

Upper Bounds for the Number of Lattice Edges Needed to Represent 4-Regular Graphs as Lattice Graphs, Shenze Li

From Black-Scholes Model to Pricing Models of American Options: A Performance Comparison, Yushi Pan

Analysing Flow Free with One Pair of Dots, Eliot Harris Roske

Factorization Lengths in Numerical Monoids, Maya Samantha Schwartz

Time and Finance: Exploring Variance in the Black-Scholes Model, Edward Chase Skorupa

Econometric Methods for Comparative Case Studies: Lessons From the Dominican Prison Reform, Sofia Thompson

Predicting How People Vote From How They Tweet, Rao B. Vinnakota

A Strength Test for the Borda Count, Jade Monroe Waring

From Constant to Stochastic Volatility: Black-Scholes Versus Heston Option Pricing Models, Hsin-Fang Wu

Happy Numbers in Iterations of Degree Three, Hao Zheng

#### Theses/Dissertations from 2018

Hamilton Paths in the Game of Flow, Samuel Mar Baumgartner

Determinantal Conditions on Integer Splines, Kathryn Elizabeth Blaine

Analyzing the Probabilistic Spread of a Virus on Various Networks, Teagan DeCusatis

Gerrymandering and the Impossibility of Fair Districting Systems, Danielle Degutz

Graph Replacement Systems for Julia Sets of Quadratic Polynomials, Yuan Jessica Liu

Stock Price Forecasting Using Stochastic Processes and Machine Learning, Yuming Liu

Applications of Equivariant Topology In Cascading Makeev Problems, Andres N. Mejia

An Implementation of the Solution to the Conjugacy Problem on Thompson's Group V, Rachel K. Nalecz

Expected Value and Standard Deviation of the Center of Mass of Random Configurations, Thuy Linh Nguyen

Gene Transcription Modeling within a Random and Tethered Environment, Carlos A. Polanco

Ties in Ranked Voting Systems, Odett V. Salcedo

Homeomorphisms of the Sierpinski Carpet, Karuna S. Sangam

Concerning the Construction of Four-bar Linkages and Their Topological Configuration-spaces, Peter K. Servatius

Centroidal Voronoi Tessellations with Few Generator Points, Kirill Shakhnovskiy

Counting Trees in Ladder Graphs, Yida Shao

Supersymmetry and the Math of Adinkras, Ari Putt Spiesberger

The Mathematics of Cancer: Fitting the Gompertz Equation to Tumor Growth, Dyjuan Tatro

Projector-Camera Calibration for a Multi-Planar Dome, Darren Asante Tirto

Exploring Sequences of Tournament Graphs with Draws, Kaylynn H. Tran

Some Results on 0-1 Languages, Thanh Thuy Trang Tran

Time and Frequency Independent Manipulation of Audio in Real Time, Christian Albert Yost

Hyperplanes Equipartition with Cascading Makeev, Jialin Zhang

A Stochastic Mass Function on the Edges of a Graph, Lingxin Zhao

#### Theses/Dissertations from 2017

Go With the Flow: An Exploration of Distributed Network Flow for Robot Pathfinding, Marley Claire Alford

Equipartitions using Finite Fourier Analysis, Adrian Kaufman Gillerman

Quantifying the Effect of The Shift in Major League Baseball, Christopher John Hawke Jr.

From Random to Organized: The Architecture of Neural Networks During Development, Avery Isabella Morris

The Expectation for the Center of Mass of Finite Integer Grids, Finnegan Maximilan Muller Hardy

#### Theses/Dissertations from 2016

Orthogonal Projections of Lattice Stick Knots, Margaret Marie Allardice

Associativity of Binary Operations on the Real Numbers, Samuel Joseph Audino

Abstractions and Analyses of Grid Games, Taylor Rowan Boone

Random Walks on Thompson's Group F, Sarah C. Ghandour

Constructing a Categorical Framework of Metamathematical Comparison Between Deductive Systems of Logic, Alex Gabriel Goodlad

The Schur Factorization Property as it Applies to Subsets of the General Laguerre Polynomials, Christopher A. Gunnell

Public Key Cryptography with the Brin-Thompson Group 2V, Cyril Xavier Kuhns

Exploring Tournament Graphs and Their Win Sequences, Sadiki O. Lewis

Integer Generalized Splines on the Diamond Graph, Emmet Reza Mahdavi

Winning Strategies in The Board Game Nowhere To Go, Najee Kahil Mcfarland-Drye

The Facilitation of Sound Waves Using Mathematical and Scientific Methods of Digital Signal Processing, Benjamin Rocco Moss

Envy-Free Fair Division With Two Players and Multiple Cakes, Justin J. Shin

Radical Recognition in Off-Line Handwritten Chinese Characters Using Non-Negative Matrix Factorization, Xiangying Shuai

A Variational Approach to the Moving Sofa Problem, Ningning Song

Cutoff for Lamplighter Markov Chains on Prisms, Zexi Song

Lose Big, Win Big, Sum Big: An Exploration of Ranked Voting Systems, Erin Else Stuckenbruck

McKay Graphs and Modular Representation Theory, Polina Aleksandrovna Vulakh

#### Projects from 2015

Rational Tilings of the Unit Square, Galen Dorpalen-Barry

Irreducibility and Galois Properties of Lifts of Supersingular Polynomials, Rylan Jacob Gajek-Leonard

Basis Criteria for n-cycle Integer Splines, Ester Gjoni

Pre-processing for K-means Clustering Algorithm, Mohd Ahnaf Habib Khan

Exploring a Generalized Partial Borda Count Voting System, Christiane Koffi

Extending the Planar Voronoi Nets of a Set of 6 Sites to Planar Voronoi Nets of a Set of 7 Sites, Erik Lovece

Resistance of Infinite Networks, Sharma Maharaj

A Binary Integer Programming Approach for Counting KenKen Puzzles, Eliana Simone Miller

Development and Optimization of a Two-View Model for Anamorphic Projections on Planar Surfaces, Van Mai Nguyen Thi

Modeling Stochastic Traps: The Evolution of Preference in a Temporally Heterogeneous Ecological Trap, Jake Weissman

Homeomorphism Groups of Fractals, Shuyi Weng

On the Realizability and Rigidity of Graphs in Higher Dimensions, Noah Schuyler Winslow

Aye or Nay: A Study of Opinion Exchange Dynamics, Xingye Zhang

#### Theses/Dissertations from 2014

Investigating Occupancy Using Maximum Likelihood Estimation, Siddhartha Baral

Robots Switching Positions on Graphs, Celeste Laura Buchman Cass

Counting Points on Conics Over Finite Fields, Zena Charlie Coles

Geometry of Adinkra Embeddings, Andy Huynh

The Analysis of Probabilistic Spread on Complete Graphs, Yushan Jiang

The Probabilistic Spread of a Virus on a Network, Benjamin Lisehora Kane

Option Pricing Model on the Discrete World, Carlos Lobao Gadelha

Fighting Fires on Semi-Regular Tessellations, Lara Greta Merling

Social Choice Theory and an Exploration of Partial Borda Count, Rajasri Narasimhan

From String Theory to Elliptic Curves over finite field Fp, Linh Thi Dieu Pham

Deformations of Conic Sections, Page Anne Redding

Graphical Model for Three-Way Living Donor Kidney Exchange, Carmen Beatriz Rodriguez

Fire Containment on Layered Infinite Grids, Nicole C. Rosato

A Dinner for Two: Winning the Ethiopian Dinner Game, Kimberly Clarice Sargeant

#### Theses/Dissertations from 2013

Mod 2 Homology of Posets, Ian Michael Barnett

Forbidden Minors for a Pursuit Game on Graphs, Abhinanda Bhattacharyya

Enumerating Chains in Partially Ordered Sets, Laura Kimball Bradford

The Firefighter Problem on Grids: Resistant Networks, Ha Phuong Do Thi

Inscribed Squares in Taxicab Polygons, Joseph Stephen Foy

Implementation of the Solution to the Conjugacy Problem in Thompson's Groups, Nabil Tarique Hossain

Galois Representations From Non-Torsion Points on Elliptic Curves, Matthew Phillip Hughes

Gaussian Primes Path to Infinity, Ruth Ashebir Lakew

Distribution of Prime Numbers in Short Intervals, Weiying Liu

Designing DNA Nanostructures: Optimization of Tetrahedra Stellation, Iliana Mi'ilani Maifeld-Carucci

Spread of a Virus on Networks: A Probabilistic Approach, Anam Nasim

SuperSET : A Mathematical Investigation of a Variation of SET, Jeffrey C. Pereira