Predicting Outcomes for Batted Balls in MLB
(Advisor: Professor Victor Wickerhauser)
An Essay on Independent Component Analysis
(Advisor: Professor Jimin Ding)
Representations of the Symmetric Group and Nonstandard Quantum Statistics
(Advisor: Professor Renato Feres)
Applications of Mixed Effects Modeling in Observational Studies and Clinical Trials for Alzheimer's Disease
(Advisor: Professor Edward Spitznagel)
Hecke Algebra Characters Evaluated at Kazhdan-Lusztig Basis Elements Give the Betti Numbers of Hessenberg Varieties
(Advisor: Professor John Shareshian)
Predicting Pitching Injuries in Major League Baseball
(Advisor: Professor Nan Lin)
Quantum Techniques for Classical Systems
(Advisor: Professor Renato Feres)
A Walk Through Einstein's General Theory of Relativity
(Advisor: Professor Quo-Shin Chi)
Nonabelian Group Based Cryptography
(Advisor: Professor John Shareshian)
Two Partitioned Numerical Methods for Solving the Hodgkin-Huxley Equations
(Advisor: Professor Ari Stern)
On Numbers with Equal Cototients
(Advisors: Professors Matt Kerr and John Shareshian)
Manifesting Polynomials with Small Galois Groups as Rational Points
(Advisor: Professor John Shareshian)
Discrete Morse Theory and Some Applications
(Advisor: Professor John Shreshian)
Generating Functions for Enumerating Chains of Partitions with Distinct Parts
(Advisor: Professor John Shareshian)
A Multivariate Extension of the von Neumann Inequality
(Advisor: Professor Greg Knese)
Analysis of Peer-Led Team Learning (PLTL) Data for Calculus Using MIxed Linear Effects Models
(Advisor: Professor Jimin Ding)
Algorithms for Reducing the Complexity of High-Dimensional Data Sets
(Advisor: Prof. Victor Wickerhauser)
Quantal Response: Models of Irrationality and Correlation in Games
(Advisor: Professor John Shareshian)
Group Decision-Making with Negative Influence Actors
(Advisor: Professor John Shareshian)
Hodge Decomposition and the Shapley Value of a Cooperative Game
(Advisor: Professor Ari Stern)
Spectral Gap of a Specific Linear Operator
(Advisor: Professor Xiang Tang)
Semiparametric Modeling of Train Accident Costs with Implications for the Importance of Positive Train Control
(Advisor:Professor Todd Kuffner)
Modeling the Spread of Amyloid in Patients with Alzheimer's Disease
(Advisor:Professor John McCarthy)
Elements of the Mathematical Formulation of Quantum States
(Advisors: Professors Xiang Tang and Renato Feres)
Exponential Random Graph Models Under Measurement Error
(Advisor:Professor Nan Lin)
Risk Factor Analysis of Thrombocytopenia
(Advisor: Professor Edward Spitznagel)
Stochastic Thermodynamics of Markov Chain from Billiards Model
(Advisor: Professor Renato Feres)
The Hermitian Symplectic Group, Neumann Extension Theory, and Scattering on Quantum Graphs
(Advisor: Professor Renato Feres)
A Comparison of the Lasso and Dantzig Selector in Linear Regression Models
(Advisor: Professor Todd Kuffner)
N-Complexes and Sn Representations
(Advisor: Professor John Shareshian)
Schatten-class Truncated Toeplitz Operators
(Advisor: Professor Richard Rochberg)
Computing the Dispersion Relation of Periodic Quantum Graphs
(Advisor: Professor Renato Feres)
Modeling Air Pollution with GIS
(Advisor: Professor Edward Spitznagel)
Polynomial Automorphisms
(Advisor: Professor David Wright)
An Alternative Graph Theoretic Proof of the Amitsur-Levitzki Identity
(Advisor: Professor John Shareshian)
Nash-Moser Inverse Function Theorem and its Application to Ricci Flow
(Advisor: Professor Quo-Shin Chi)
Automatic Classification of Formal and Informal Text
(Advisor: Professor Edward Spitznagel)
The Relativistic Heat Equation
(Advisor: Professor Ari Stern)
Modifications to Nowak et al.'s Mathematical Population Genetic Model of The Evolution of Eusociality
(Advisors: Professor Renato Feres and Prof. David Queller (Biology))
Categories, Groupoids, and Groupoidifications
(Advisor: Professor Xiang Tang)
Aliquot Cycles for Elliptic Curves with Complex Multiplication
(Advisor: Professor Matt Kerr)
On a Small Non-Shellable Lie Algebra
(Advisor: Professor John Shareshian)
Applications of Mixed Effects Models: An Analysis of fMRI data in Anesthesiology
(Advisor: Professor Nan Lin)
Lie Groups and Lie Algebras
(Advisor: Professor Xiang Tang)
Nonholonomic Diffusion
(Advisor: Professor Renato Feres)
Life-Cycle Investment and Consumption Retirement Strategy via Markov Chain Monte Carlo with R
(Advisor: Professor Renato Feres)
Questions to Remember: An Analysis of Cognitive Data for Alzheimer’s Disease Detection
(Advisor: Professor Jimin Ding)
Proctor or Doctor: An Analysis of Survey Data from Patients with Alzheimer's Disease
(Advisor: Professor Jimin Ding)
Applications of Linear Mixed Effect Models: An Analysis of Missouri School Data
(Advisor: Professor Jimin Ding)