Honors Theses from 2024
Estimating the Payoffs of Variance Swaps using GARCH(1,1) and COGARCH(1,2), Nicholas Zehnle
Improved Bounds for the Index Conjecture in Zero-Sum Theory, Andrew Pendleton
Honors Theses from 2023
Automorphisms of a Generalized Quadrangle of Order 6, Ryan Pesak
Demographic Noise and Fragmentation in Stochastic Extinction, Cameron Curtis
Design and Application of Surrogate Models for Hypersonic Inlet Physics, Owen Guch
Examining Factors Using Standard Subspaces and Antiunitary Representations, Paul Anderson
Merging Cross-Platform Gene Expression Data, Jiayi Xu
Minimal Network Structure for Turing Instability, Brendan Millis
Modeling the Effects of Seasonal Births and Predation on Disease Spread, Ally Introne
Honors Theses from 2022
Approximating Star-Discrepancy with a Genetic Algorithm, Isabel Agostino
Counting Holes in Physical Systems - Applications of Computational Homology to Systems in Physics -, Sage Stanish
Enumerating Switching Isomorphism Classes of Signed Graphs, Nathaniel Healy
Investigating Text Mining Techniques Within the Context of Politicized Social Media Data, Grace Smith
Investigating the Effectiveness of GARCH(1,2) and COGARCH(1,2) Models in Estimating Volatility in the S&P500 Index, Ethan Hackett
Modeling and Analyses of Mechanisms Underlying Network Synaptic Dynamics in Two Neural Circuits, Linda Ma
Modern Theory of Copositive Matrices, Yuqiao Li
Period Doubling Cascades from Data, Alexander Berliner
Schur Class Power Series over the Quaternions, Rongbiao Wang
The Enumeration of Minimum Path Covers of Trees, Merielyn Sher
The Minimum Number of Multiplicity 1 Eigenvalues Among Real Symmetric Matrices Whose Graph is a Tree, Jacob Zimmerman
Voting Rules and Properties, Zhuorong Mao
Honors Theses from 2021
A Survey of Methods to Determine Quantum Symmetry of Graphs, Samantha Phillips
Blockchain in Healthcare: a New Perspective from Social Media Data, Andrew Caietti
Determining Quantum Symmetry in Graphs Using Planar Algebras, Akshata Pisharody
Reality and Strong Reality in Finite Symplectic Groups, Spencer Schrandt
The Minimum Number of Multiplicity 1 Eigenvalues among Real Symmetric Matrices whose Graph is a Tree, Wenxuan Ding
Toward a Holographic Transform for the Quantum Clebsch-Gordan Formula, Ethan Shelburne
Using Machine Learning to Track the Location of the Shock Train in Hypersonic Engines, Alison Reynolds
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
