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Honors Theses from 2024

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Estimating the Payoffs of Variance Swaps using GARCH(1,1) and COGARCH(1,2), Nicholas Zehnle

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Improved Bounds for the Index Conjecture in Zero-Sum Theory, Andrew Pendleton

Honors Theses from 2023

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Automorphisms of a Generalized Quadrangle of Order 6, Ryan Pesak

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Demographic Noise and Fragmentation in Stochastic Extinction, Cameron Curtis

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Design and Application of Surrogate Models for Hypersonic Inlet Physics, Owen Guch

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Examining Factors Using Standard Subspaces and Antiunitary Representations, Paul Anderson

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Merging Cross-Platform Gene Expression Data, Jiayi Xu

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Minimal Network Structure for Turing Instability, Brendan Millis

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Modeling the Effects of Seasonal Births and Predation on Disease Spread, Ally Introne

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The Probability Distribution of the Kaplan-Meier Product-Limit Estimator and its Application to Bias and Interval Estimation, Yuxin Qin

Honors Theses from 2022

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Approximating Star-Discrepancy with a Genetic Algorithm, Isabel Agostino

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Counting Holes in Physical Systems - Applications of Computational Homology to Systems in Physics -, Sage Stanish

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Enumerating Switching Isomorphism Classes of Signed Graphs, Nathaniel Healy

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Investigating Text Mining Techniques Within the Context of Politicized Social Media Data, Grace Smith

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Investigating the Effectiveness of GARCH(1,2) and COGARCH(1,2) Models in Estimating Volatility in the S&P500 Index, Ethan Hackett

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Modeling and Analyses of Mechanisms Underlying Network Synaptic Dynamics in Two Neural Circuits, Linda Ma

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Modern Theory of Copositive Matrices, Yuqiao Li

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Period Doubling Cascades from Data, Alexander Berliner

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Schur Class Power Series over the Quaternions, Rongbiao Wang

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The Enumeration of Minimum Path Covers of Trees, Merielyn Sher

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The Minimum Number of Multiplicity 1 Eigenvalues Among Real Symmetric Matrices Whose Graph is a Tree, Jacob Zimmerman

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Voting Rules and Properties, Zhuorong Mao

Honors Theses from 2021

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A Survey of Methods to Determine Quantum Symmetry of Graphs, Samantha Phillips

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Blockchain in Healthcare: a New Perspective from Social Media Data, Andrew Caietti

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Determining Quantum Symmetry in Graphs Using Planar Algebras, Akshata Pisharody

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Reality and Strong Reality in Finite Symplectic Groups, Spencer Schrandt

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The Minimum Number of Multiplicity 1 Eigenvalues among Real Symmetric Matrices whose Graph is a Tree, Wenxuan Ding

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Toward a Holographic Transform for the Quantum Clebsch-Gordan Formula, Ethan Shelburne

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Using Machine Learning to Track the Location of the Shock Train in Hypersonic Engines, Alison Reynolds

Honors Theses from 2020

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

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

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

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

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

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Nonnegative Matrix Factorization Problem, Junda An

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

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

Honors Theses from 2019

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

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Continuous Opinion Dynamics on an Adaptive Network, Xinyu Zhang

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Disentanglement of Whisker Deflection Velocity and Direction, Srijan Bhasin

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Eventually Positive Matrices and Tree Sign Patterns, Madellyne Waugh

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

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

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

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

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Totally Positive Completable Matrix Patterns and Expansion, David Allen

Honors Theses from 2018

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

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

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

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

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

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Potential Stability of Matrix Sign Patterns, Christopher Hambric

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

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

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TP Matrices and TP Completability, Duo Wang

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Ultra-High Dimensional Statistical Learning, Yanxin Xu

Honors Theses from 2017

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

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

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

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Saving Babies Using Big Data, Evan Dienstman

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

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TP and TN Completability of Border Patterns, Haoge Chang

Honors Theses from 2016

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

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Graph packing with constraints on edges, Fangyi Xu

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Growing Networks with Positive and Negative Links, Corynne Smith Dech

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Normal Matrices Subordinate to a Graph, Morrison Turnansky

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Relaxed Coloring of Sparse Graphs, Michael C. Kopreski

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Row and Column Distributions of Letter Matrices, Xiaonan Hu

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

Honors Theses from 2015

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

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

Honors Theses from 2014

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Basins of Attraction for Pulse-Coupled Oscillators, Ryan Gryder

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

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

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

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Nonlinear Models of Zooplankton Communities, Catherine King

Honors Theses from 2013

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

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

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On Almost Normal Matrices, Tyler J. Moran

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

Honors Theses from 2012

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

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

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Circadian Oscillations of the Intestinal Stem Cell Lineage, Brian Waldman

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Finding the Minimum Randic Index, Sarah Joyce Kunkler

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

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Global Dynamics of Pulse-Coupled Oscillators, Allison Leslie Corish

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

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Permutations with Extremal Routings on Cycles, Luis Alejandro Valentin

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

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

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

Honors Theses from 2011

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

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Basins of Attraction in Stage Structured Populations, Georgia Waite Pfeiffer

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Critical Exponents: Old and New, Olivia J. Walch

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

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

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Poles and Zeros of Generalized Carathéodory Class Functions, Yael Gilboa

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Solution Theory for Systems of Bilinear Equations, Dian Yang

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

Honors Theses from 2010

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