#### 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