#### Senior Theses from 2018

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

Hypergraph Capacity with Applications to Matrix Multiplication, John Lee Thompson Peebles Jr.

Mathematical Knowledge for Teaching and Visualizing Differential Geometry, Nathan Pinsky

A Comparison and Catalog of Intrinsic Tumor Growth Models, Elizabeth A. Sarapata

Structured Matrices and the Algebra of Displacement Operators, Ryan Takahashi

#### Senior Theses from 2012

Approval Voting Theory with Multiple Levels of Approval, Craig Burkhart

Nonlinear Wave Equations and Solitary Wave Solutions in Mathematical Physics, Trevor Caldwell

Counting Vertices in Isohedral Tilings, John Choi

A Refined Saddle Point Theorem and Applications, Harris Enniss

Approval Voting in Box Societies, Patrick Eschenfeldt

Switching Between Cooperation and Competition in Social Selection, August Guang

A Combinatorial Approach to $r$-Fibonacci Numbers, Curtis Heberle

Searching Stars for a Moving Hider, Jennifer Iglesias

Flatterland: The Play, Kym Louie

Uniquely Solvable Puzzles and Fast Matrix Multiplication, Palmer Mebane

Explorations of the Aldous Order on Representations of the Symmetric Group, Jack Newhouse

Detecting Covert Members of Terrorist Networks, Alice Paul

Algebraic Methods for Log-Linear Models, Aaron Pribadi

Gromov-Witten Theory of Blowups of Toric Threefolds, Dhruv Ranganathan

Analysis of Swarm Behavior in Two Dimensions, Louis Ryan

Russian Mathematical Pedagogy in Reasoning Mind, Maia Valcarce

#### Senior Theses from 2011

Finding the Beat in Music: Using Adaptive Oscillators, Kate M. Burgers

Swarm Control Through Symmetry and Distribution Characterization, Georgi Dinolov

Markov Bases for Noncommutative Harmonic Analysis of Partially Ranked Data, Ann Johnston

Group Actions and Divisors on Tropical Curves, Max B. Kutler

Extending List Colorings of Planar Graphs, Sarah Loeb

Martingale Couplings and Bounds on Tails of Probability Distributions, Kyle Luh

Verification of Solutions to the Sensor Location Problem, Chandler May

Comparing the Cognitive Demand of Traditional and Reform Algebra 1 Textbooks, Allison M. Park

Noise, Delays, and Resonance in a Neural Network, Austin Quan

Combinatorial Interpretations of Fibonomial Identities, Elizabeth Reiland

Analytic and Numerical Studies of a Simple Model of Attractive-Repulsive Swarms, Andrew S. Ronan

Continued Fractions: A New Form, Donald Lee Wiyninger III

Simulations of Surfactant Spreading, Jeffrey Wong

#### Senior Theses from 2010

Minimal Circuits for Very Incompletely Specified Boolean Functions, Richard Strong Bowen