#### Honors Theses from 2020

A Mathematical Model for the Trend and Prediction of Movie Revenue, Yuxin Shang

Analysis of Modelling Deficiencies that Contributed to the High Unanticipated Loan Losses Incurred During the Housing Price Collapse of the Great Recession, Jennifer Shulman

Dynamics of Sensory Integration of Olfactory and Mechanical Stimuli Within the Response Patterns of Moth Antennal Lobe Neurons, Harrison Tuckman

Learning & Planning for Self-Driving Ride-Hailing Fleets, Jack Morris

Non-linear Modifications of Black-Scholes Pricing Model with Diminishing Marginal Transaction Cost, Kaidi Wang

Nonnegative Matrix Factorization Problem, Junda An

RMSE-Minimizing Confidence Intervals for the Binomial Parameter, Kexin Feng

Stage-structured Blue Crab Population Model with Fishing, Predation and Cannibalism, Fangming Xu

#### Honors Theses from 2019

A General Weil-Brezin Map and Some Applications, Benjamin Bechtold

Continuous Opinion Dynamics on an Adaptive Network, Xinyu Zhang

Disentanglement of Whisker Deflection Velocity and Direction, Srijan Bhasin

Eventually Positive Matrices and Tree Sign Patterns, Madellyne Waugh

Minimal Principal Series Representations of SL(3,R), Jacopo Gliozzi

Partial Difference Sets in Nonabelian Groups and Strongly Regular Cayley Graphs, Gabrielle Tauscheck

Rankin-Cohen Brackets and Fusion Rules for Discrete Series Representations of SL(2,R), Emilee Cardin

Spectrogram Analysis of Blood Pressure on Neonates with Hypoxic Ischemic Encephalopathy (HIE), Tianrui Zhu

Totally Positive Completable Matrix Patterns and Expansion, David Allen

#### Honors Theses from 2018

A Mathematical Study of Competition and Adoption of Two Consumer Products, Chengli Huang

A New Upper Bound for the Diameter of the Cayley Graph of a Symmetric Group, Hangwei Zhuang

Counting Real Conjugacy Classes in Some Finite Classical Groups, Elena Amparo

Implementation and Analysis of the Nonlinear Decomposition Attack on Polycyclic Groups, Yoongbok Lee

Modeling Social Interactions of Yeast Biofilms with a Stochastic Spatial Simulation, Aparajita Sur

Potential Stability of Matrix Sign Patterns, Christopher Hambric

Strongly Real Conjugacy Classes in Unitary Groups over Fields of Even Characteristic, Tanner N. Carawan

The Doubly Stochastic Single Eigenvalue Problem: An Empirical Approach, John Wilkes and Charles Royal Johnson

TP Matrices and TP Completability, Duo Wang

Ultra-High Dimensional Statistical Learning, Yanxin Xu

#### Honors Theses from 2017

A Mathematical Model of Economic Growth of Two Geographical Regions, Xin Zou

Center Manifold Theory and Computation Using a Forward Backward Approach, Emily E. Schaal

Involutions and Total Orthogonality in Some Finite Classical Groups, Gregory K. Taylor

Saving Babies Using Big Data, Evan Dienstman

Spatial Analysis with Applications on Real Estate Market Price Prediction, Yujing Zheng

TP and TN Completability of Border Patterns, Haoge Chang

#### Honors Theses from 2016

Computing All Isolated Invariant Sets at a Finite Resolution, Martin Salgado-Flores

Graph packing with constraints on edges, Fangyi Xu

Growing Networks with Positive and Negative Links, Corynne Smith Dech

Normal Matrices Subordinate to a Graph, Morrison Turnansky

Relaxed Coloring of Sparse Graphs, Michael C. Kopreski

Row and Column Distributions of Letter Matrices, Xiaonan Hu

(Un)Stable Manifold Computation via Iterative Forward-Backward Runge-Kutta Type Methods, Dmitriy Zhigunov

#### Honors Theses from 2015

On the Non-Symmetric Spectra of Certain Graphs, Owen Hill

Relaxation of Planar Graphs With d∆≥2 and No 4-Cycles, Heather A. Hoskins

#### Honors Theses from 2014

Basins of Attraction for Pulse-Coupled Oscillators, Ryan Gryder

Combinatorially Derived Properties of Young Tableaux, James R. Janopaul-Naylor

Linear and Nonlinear Trees: Multiplicity Lists of Symmetric Matrices, Eric Wityk

Local Zeta Functions over p-Adic Fields, Stephen P. Cameron

Nonlinear Models of Zooplankton Communities, Catherine King

#### Honors Theses from 2013

A Population Density Model of Domain Calcium-Mediated Inactivation of L-Type Ca Channels, Kiah Hardcastle

Finding Open Locating Dominating Sets on Infinite and Finite Graphs, Allison Oldham

On Almost Normal Matrices, Tyler J. Moran

Statistical Inference Based on Upper Record Values, Daniel J. Luckett

#### Honors Theses from 2012

A Model for Blue Crab Population in the Chesapeake Bay, Timothy J. Becker

Analysis and Simulation of an Optimal Control Model of an Oyster Population Displaying an Allee Effect, Timothy Raymond McDade

Circadian Oscillations of the Intestinal Stem Cell Lineage, Brian Waldman

Finding the Minimum Randic Index, Sarah Joyce Kunkler

Fixed Points of Pick and Stieltjes functions: A Linear Algebraic Approach, Nicholas Andrew Woods

Global Dynamics of Pulse-Coupled Oscillators, Allison Leslie Corish

Perfect Partitions of Some (0,1)-Matrices, Jeffrey Soosiah

Permutations with Extremal Routings on Cycles, Luis Alejandro Valentin

Strongly Real Conjugacy Classes of the Finite Unitary Group, Zach Gates

Synchronous Oscillatory Solutions in a Two Patch Predator-Prey Model, Matthew H. Becker

The Laplacian on Isotropic Quantum Graphs: Solutions and Applications, Patrick King

#### Honors Theses from 2011

A New Lower Bound on the Minimum Density of Vertex Identifying Codes for the Infinite Hexagonal Grid, Ariel J. Cukierman

Basins of Attraction in Stage Structured Populations, Georgia Waite Pfeiffer

Critical Exponents: Old and New, Olivia J. Walch

Factoring Banded Permutations and Bounds on the Density of Vertex Identifying Codes on the Infinite Snub Hexagonal Grid, Chase A. Albert

Persistent Activity in Assortative Networks of Integrate and Fire Neurons, Matthew D. Peppe

Poles and Zeros of Generalized Carathéodory Class Functions, Yael Gilboa

Solution Theory for Systems of Bilinear Equations, Dian Yang

Topological Characterization of Extinction in a Coupled Ricker Patch Model, Benjamin Robert Holman

#### Honors Theses from 2010

Bistability in Differential Equation Model of Oyster Population and Sediment Volume, William Crowell Jordan-Cooley

Equitable and Defective Coloring of Sparse Graphs, Harold Lee Williams II

Finding a Sparse Solution of a Linear System with Applications to Coding Theory and Statistics, Andrew Gordon Wilcox

Mathematical and Numerical Analysis of Coupled Nonlinear Schrödinger Equations, Michael Christopher Essman

Preservers of Eigenvalue Inclusion Sets, Aaron Herman

The Dynamical Behavior of a Two Patch Predator-Prey Model, Yuanyun Liu

The Maximum Cut Problem: Investigating Computational Approaches, Austin Powell

Understanding and Minimizing Flight Delay, Patrick Robert Steele

#### Honors Theses from 2009

A Study Of Multiplicative Preservers, Sean Ian Clark

Box-Counting Dimension and Beyond, Kassie Archer

Braid Groups and Evolution Algebras, Carolyn Elaine Troha

Investigating Computational Aspects of the Coincidence Condition for Substitutions of Pisot Type, Brian Paljug

Modeling the Effects of Harvesting on Virginia's Black Bear Population, David William Gould

Mutualism between Clownfish and Sea Anemones: A Computational Model, Elizabeth Carroll Truelove

Reproduction Rate Strategies in White-Footed Mice, Niha Zubair

Three Pool Model of Calcium Signaling, Daniel Hariprasad

#### Honors Theses from 2008

A Study of Genetic Code by Combinatorics and Linear Algebra Approaches, Tanner Jennings Crowder

A Survey of Social Choice Failures: Majority and Borda Rules, Lauren Nicole Merrill

Multiplicity Lists for Classes of Hermitian Matrices whose Graph is a Certain Tree, Paul McMichael

Trees and the Implicit Construction of Eigenvalue Multiplicities, Jonathan Nuckols