Senior Theses from 2021
Radial Singular Solutions to Semilinear Partial Differential Equations, Marcelo A. Almora RIos
Going Meta on the Minimum Circuit Size Problem: How Hard Is It to Show How Hard Showing Hardness Is?, Zoë Bell
Fractals, Fractional Derivatives, and Newton-Like Methods, Eleanor Byrnes
On the Tropicalization of Lines onto Tropical Quadrics, Natasha Crepeau
The Complexity of Symmetry, Matthew LeMay
Tiling Representations of Zeckendorf Decompositions, John Lentfer
On Rank-Two and Affine Cluster Algebras, Feiyang Lin
Exploring Winning Strategies for the Game of Cycles, Kailee Lin
Towards Tropical Psi Classes, Jawahar Madan
The Slice Rank Polynomial Method, Thomas C. Martinez
Geometric Unified Method in 3D Object Classification, Mengyi Shan
Protest Music in Response to the United States’ Oppressive Political Culture: An Analysis of Beyoncé's "Freedom" and Janelle Monáe's "Americans", Jessica Torrey
Senior Theses from 2020
A Discrete Analogue for the Poincaré-Hopf Theorem, Savana Ammons
On the Mysteries of Interpolation Jack Polynomials, Havi Ellers
Reflections on Critical Math Education in the College Classroom: Critical Pedagogy and Modular Approaches, Lily Friedberg
Pascal's Mystic Hexagon in Tropical Geometry, Hanna Hoffman
Where the Wild Knots Are, Forest Kobayashi
Agent-Based Modeling of Locust Foraging and Social Behavior, Hannah Larson
Use of Kalman Filtering in State and Parameter Estimation of Diabetes Models, Cassidy Le
Composing Probabilistic Graphical Models with Adaptive Basis Methods, Nicholas Richardson
An Exploration of Combinatorial Interpretations for Fibonomial Coefficients, Richard Shapley
A Coherent Proof of Mac Lane's Coherence Theorem, Luke Trujillo
Senior Theses from 2019
Swarm Stability: Distinguishing between Clumps and Lattices, Quentin Barth
Enhancing the Quandle Coloring Invariant for Knots and Links, Karina Elle Cho
A Complexity of Real Functions based on Analog Computing, Adam Dhillon
Randomized Algorithms for Preconditioner Selection with Applications to Kernel Regression, Conner DiPaolo
Using Neural Networks to Classify Discrete Circular Probability Distributions, Madelyn Gaumer
Radial Solutions to Semipositone Dirichlet Problems, Ethan Sargent
Mathematical Modeling of Type 1 Diabetes, Gianna Wu
Senior Theses from 2018
Modeling Subset Behavior: Prescriptive Analytics for Professional Basketball Data, Lucius Bynum
On the Landscape of Random Tropical Polynomials, Christopher Hoyt
Evaluating Flexibility Metrics on Simple Temporal Networks with Reinforcement Learning, Hamzah I. Khan
Self Regulation in College-Level Mathematics Classes, Jenny Lee
An Incidence Approach to the Distinct Distances Problem, Bryce McLaughlin
Sequential Probing With a Random Start, Joshua Miller
Iterative Matrix Factorization Method for Social Media Data Location Prediction, Natchanon Suaysom
Senior Theses from 2017
Classifying the Jacobian Groups of Adinkras, Aaron R. Bagheri
The Document Similarity Network: A Novel Technique for Visualizing Relationships in Text Corpora, Dylan Baker
Pattern Recognition in Stock Data, Kathryn Dover
Random Tropical Curves, Magda L. Hlavacek
Maximal LELM Distinguishability of Qubit and Qutrit Bell States using Projective and Non-Projective Measurements, Nathaniel Leslie
Quantum Foundations with Astronomical Photons, Calvin Leung
Toric Ideals, Polytopes, and Convex Neural Codes, Caitlin Lienkaemper
Tropical Derivation of Cohomology Ring of Heavy/Light Hassett Spaces, Shiyue Li
Combinatorial Polynomial Hirsch Conjecture, Sam Miller
Slowing the Evolution and Outbreak of Antibiotic Resistance, Colin Okasaki
Complexity of Linear Summary Statistics, Micah G. Pedrick
Kinetic Monte Carlo Methods for Computing First Capture Time Distributions in Models of Diffusive Absorption, Daniel Schmidt
Investigating Post-Earnings-Announcement Drift Using Principal Component Analysis and Association Rule Mining, Ian R. W. Schweickart
Incorporating the Centers for Disease Control and Prevention into Vaccine Pricing Models, Dina Sinclair
Emergence and Complexity in Music, Zoe Tucker
Sudoku Variants on the Torus, Kira A. Wyld
Machine Learning on Statistical Manifold, Bo Zhang
Dynamics and Clustering in Locust Hopper Bands, Jialun Zhang
Senior Theses from 2016
An Interactive Tool for the Computational Exploration of Integrodifference Population Models, Kennedy Agwamba
Fibonomial Tilings and Other Up-Down Tilings, Robert Bennett
The Geometry of Data: Distance on Data Manifolds, Casey Chu
Pattern Recognition in High-Dimensional Data, Matthew Dannenberg
Topological Data Analysis for Systems of Coupled Oscillators, Alec Dunton
Assessment of Treatment and Screening Procedures for Chlamydia trachomatis Infections in a College Setting., Margaux L. Hujoel
Convexity of Neural Codes, Robert Amzi Jeffs
Hopper Bands: Locust Aggregation, Ryan C. Jones
A Bound on the Number of Spanning Trees in Bipartite Graphs, Cheng Wai Koo
Steady State Solutions for a System of Partial Differential Equations Arising from Crime Modeling, Bo Li
Graph Cohomology, Matthew Lin
Mathematical Modeling of Blood Coagulation, Joana L. Perdomo
Line-of-Sight Pursuit and Evasion Games on Polytopes in R^n, John Phillpot
The Global Stability of the Solution to the Morse Potential in a Catastrophic Regime, Weerapat Pittayakanchit
Computational Progress towards Maximum Distinguishability of Bell States by Linear Evolution and Local Measurement, Victor Shang
Realizing the 2-Associahedron, Patrick N. Tierney
Adinkras and Arithmetical Graphs, Madeleine Weinstein
Building a History of Horizontal Gene Transfer in E. Coli, Matthew Wilber
Interval Graphs, Joyce C. Yang
Senior Theses from 2015
A Plausibly Deniable Encryption Scheme for Personal Data Storage, Andrew Brockmann
Synthesis of the Tetracyclic Scaffolds of the Endiandric Acids, Eun Bin Go
A Combinatorial Exploration of Elliptic Curves, Matthew Lam
Chromatic Polynomials and Orbital Chromatic Polynomials and their Roots, Jazmin Ortiz
An Exposition of Kasteleyn's Solution of the Dimer Model, Eric Stucky
Perturbation Dynamics on Moving Chains, Ksenia V. Zakirova
Senior Theses from 2014
Experimental Realization of Slowly Rotating Modes of Light, Fangzhao A. An
There and Back Again: Elliptic Curves, Modular Forms, and L-Functions, Allison F. Arnold-Roksandich
A Mathematical Framework for Unmanned Aerial Vehicle Obstacle Avoidance, Sorathan Chaturapruek
Infinitely Many Rotationally Symmetric Solutions to a Class of Semilinear Laplace-Beltrami Equations on the Unit Sphere, Emily M. Fischer
Characterizing Forced Communication in Networks, Samuel C. Gutekunst
Energy-Driven Pattern Formation in Planar Dipole-Dipole Systems, Jaron P. Kent-Dobias
A New Subgroup Chain for the Finite Affine Group, David Alan Lingenbrink Jr.
Fast Algorithms for Analyzing Partially Ranked Data, Matthew McDermott
Experiments on Surfactants and Thin Fluid Films, Peter Megson
Reed's Conjecture and Cycle-Power Graphs, Alexa Serrato
Cycle lengths of θ-biased random permutations, Tongjia Shi
Using Topology to Explore Mathematics Education Reform, Carling Sugarman
Arithmetical Graphs, Riemann-Roch Structure for Lattices, and the Frobenius Number Problem, Jeremy Usatine
Senior Theses from 2013
A Discrete Approach to the Poincare-Miranda Theorem, Connor Thomas Ahlbach
On Toric Symmetry of P1 x P2, Olivia D. Beckwith
Voter Compatibility In Interval Societies, Rosalie J. Carlson
Extortion and Evolution in the Iterated Prisoner's Dilemma, Michael J. Earnest
Chip Firing Games and Riemann-Roch Properties for Directed Graphs, Joshua Z. Gaslowitz
Simulations of Surfactant Driven Thin Film Flow, Shreyas Kumar
Analysis of Time-Dependent Integrodifference Population Models, Taylor J. McAdam
Lines in Tropical Quadrics, Kevin O'Neill
