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Senior Theses from 2021

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Radial Singular Solutions to Semilinear Partial Differential Equations, Marcelo A. Almora RIos

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Going Meta on the Minimum Circuit Size Problem: How Hard Is It to Show How Hard Showing Hardness Is?, Zoë Bell

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Fractals, Fractional Derivatives, and Newton-Like Methods, Eleanor Byrnes

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On the Tropicalization of Lines onto Tropical Quadrics, Natasha Crepeau

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The Complexity of Symmetry, Matthew LeMay

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Tiling Representations of Zeckendorf Decompositions, John Lentfer

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On Rank-Two and Affine Cluster Algebras, Feiyang Lin

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Exploring Winning Strategies for the Game of Cycles, Kailee Lin

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Towards Tropical Psi Classes, Jawahar Madan

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The Slice Rank Polynomial Method, Thomas C. Martinez

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Geometric Unified Method in 3D Object Classification, Mengyi Shan

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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

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A Discrete Analogue for the Poincaré-Hopf Theorem, Savana Ammons

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On the Mysteries of Interpolation Jack Polynomials, Havi Ellers

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Reflections on Critical Math Education in the College Classroom: Critical Pedagogy and Modular Approaches, Lily Friedberg

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Pascal's Mystic Hexagon in Tropical Geometry, Hanna Hoffman

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Where the Wild Knots Are, Forest Kobayashi

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Agent-Based Modeling of Locust Foraging and Social Behavior, Hannah Larson

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Use of Kalman Filtering in State and Parameter Estimation of Diabetes Models, Cassidy Le

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Composing Probabilistic Graphical Models with Adaptive Basis Methods, Nicholas Richardson

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An Exploration of Combinatorial Interpretations for Fibonomial Coefficients, Richard Shapley

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A Coherent Proof of Mac Lane's Coherence Theorem, Luke Trujillo

Senior Theses from 2019

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Swarm Stability: Distinguishing between Clumps and Lattices, Quentin Barth

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Enhancing the Quandle Coloring Invariant for Knots and Links, Karina Elle Cho

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A Complexity of Real Functions based on Analog Computing, Adam Dhillon

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Randomized Algorithms for Preconditioner Selection with Applications to Kernel Regression, Conner DiPaolo

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Using Neural Networks to Classify Discrete Circular Probability Distributions, Madelyn Gaumer

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Radial Solutions to Semipositone Dirichlet Problems, Ethan Sargent

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Mathematical Modeling of Type 1 Diabetes, Gianna Wu

Senior Theses from 2018

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Modeling Subset Behavior: Prescriptive Analytics for Professional Basketball Data, Lucius Bynum

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On the Landscape of Random Tropical Polynomials, Christopher Hoyt

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Evaluating Flexibility Metrics on Simple Temporal Networks with Reinforcement Learning, Hamzah I. Khan

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Self Regulation in College-Level Mathematics Classes, Jenny Lee

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An Incidence Approach to the Distinct Distances Problem, Bryce McLaughlin

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Sequential Probing With a Random Start, Joshua Miller

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Iterative Matrix Factorization Method for Social Media Data Location Prediction, Natchanon Suaysom

Senior Theses from 2017

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Classifying the Jacobian Groups of Adinkras, Aaron R. Bagheri

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The Document Similarity Network: A Novel Technique for Visualizing Relationships in Text Corpora, Dylan Baker

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Pattern Recognition in Stock Data, Kathryn Dover

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Random Tropical Curves, Magda L. Hlavacek

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Maximal LELM Distinguishability of Qubit and Qutrit Bell States using Projective and Non-Projective Measurements, Nathaniel Leslie

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Quantum Foundations with Astronomical Photons, Calvin Leung

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Toric Ideals, Polytopes, and Convex Neural Codes, Caitlin Lienkaemper

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Tropical Derivation of Cohomology Ring of Heavy/Light Hassett Spaces, Shiyue Li

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Combinatorial Polynomial Hirsch Conjecture, Sam Miller

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Slowing the Evolution and Outbreak of Antibiotic Resistance, Colin Okasaki

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Complexity of Linear Summary Statistics, Micah G. Pedrick

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Kinetic Monte Carlo Methods for Computing First Capture Time Distributions in Models of Diffusive Absorption, Daniel Schmidt

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Investigating Post-Earnings-Announcement Drift Using Principal Component Analysis and Association Rule Mining, Ian R. W. Schweickart

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Incorporating the Centers for Disease Control and Prevention into Vaccine Pricing Models, Dina Sinclair

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Emergence and Complexity in Music, Zoe Tucker

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Sudoku Variants on the Torus, Kira A. Wyld

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Machine Learning on Statistical Manifold, Bo Zhang

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Dynamics and Clustering in Locust Hopper Bands, Jialun Zhang

Senior Theses from 2016

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An Interactive Tool for the Computational Exploration of Integrodifference Population Models, Kennedy Agwamba

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Fibonomial Tilings and Other Up-Down Tilings, Robert Bennett

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The Geometry of Data: Distance on Data Manifolds, Casey Chu

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Pattern Recognition in High-Dimensional Data, Matthew Dannenberg

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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

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Convexity of Neural Codes, Robert Amzi Jeffs

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Hopper Bands: Locust Aggregation, Ryan C. Jones

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A Bound on the Number of Spanning Trees in Bipartite Graphs, Cheng Wai Koo

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Steady State Solutions for a System of Partial Differential Equations Arising from Crime Modeling, Bo Li

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Graph Cohomology, Matthew Lin

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Mathematical Modeling of Blood Coagulation, Joana L. Perdomo

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Line-of-Sight Pursuit and Evasion Games on Polytopes in R^n, John Phillpot

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The Global Stability of the Solution to the Morse Potential in a Catastrophic Regime, Weerapat Pittayakanchit

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Computational Progress towards Maximum Distinguishability of Bell States by Linear Evolution and Local Measurement, Victor Shang

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Realizing the 2-Associahedron, Patrick N. Tierney

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Adinkras and Arithmetical Graphs, Madeleine Weinstein

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Building a History of Horizontal Gene Transfer in E. Coli, Matthew Wilber

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Interval Graphs, Joyce C. Yang

Senior Theses from 2015

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A Plausibly Deniable Encryption Scheme for Personal Data Storage, Andrew Brockmann

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Synthesis of the Tetracyclic Scaffolds of the Endiandric Acids, Eun Bin Go

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A Combinatorial Exploration of Elliptic Curves, Matthew Lam

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Chromatic Polynomials and Orbital Chromatic Polynomials and their Roots, Jazmin Ortiz

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An Exposition of Kasteleyn's Solution of the Dimer Model, Eric Stucky

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Perturbation Dynamics on Moving Chains, Ksenia V. Zakirova

Senior Theses from 2014

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Experimental Realization of Slowly Rotating Modes of Light, Fangzhao A. An

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There and Back Again: Elliptic Curves, Modular Forms, and L-Functions, Allison F. Arnold-Roksandich

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A Mathematical Framework for Unmanned Aerial Vehicle Obstacle Avoidance, Sorathan Chaturapruek

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Infinitely Many Rotationally Symmetric Solutions to a Class of Semilinear Laplace-Beltrami Equations on the Unit Sphere, Emily M. Fischer

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Characterizing Forced Communication in Networks, Samuel C. Gutekunst

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Energy-Driven Pattern Formation in Planar Dipole-Dipole Systems, Jaron P. Kent-Dobias

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A New Subgroup Chain for the Finite Affine Group, David Alan Lingenbrink Jr.

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Fast Algorithms for Analyzing Partially Ranked Data, Matthew McDermott

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Experiments on Surfactants and Thin Fluid Films, Peter Megson

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Reed's Conjecture and Cycle-Power Graphs, Alexa Serrato

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Cycle lengths of θ-biased random permutations, Tongjia Shi

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Using Topology to Explore Mathematics Education Reform, Carling Sugarman

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Arithmetical Graphs, Riemann-Roch Structure for Lattices, and the Frobenius Number Problem, Jeremy Usatine

Senior Theses from 2013

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A Discrete Approach to the Poincare-Miranda Theorem, Connor Thomas Ahlbach

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On Toric Symmetry of P1 x P2, Olivia D. Beckwith

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Voter Compatibility In Interval Societies, Rosalie J. Carlson

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Extortion and Evolution in the Iterated Prisoner's Dilemma, Michael J. Earnest

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Chip Firing Games and Riemann-Roch Properties for Directed Graphs, Joshua Z. Gaslowitz

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Simulations of Surfactant Driven Thin Film Flow, Shreyas Kumar

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Analysis of Time-Dependent Integrodifference Population Models, Taylor J. McAdam

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Lines in Tropical Quadrics, Kevin O'Neill