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Senior Theses from 2018

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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

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

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Mathematical Knowledge for Teaching and Visualizing Differential Geometry, Nathan Pinsky

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

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Structured Matrices and the Algebra of Displacement Operators, Ryan Takahashi

Senior Theses from 2012

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Approval Voting Theory with Multiple Levels of Approval, Craig Burkhart

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

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Counting Vertices in Isohedral Tilings, John Choi

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Community Control and Compensation: An Analysis for Successful Intellectual Property Right Legislation for Access and Benefit Sharing in Latin American Nations, Laurie K. Egan

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A Refined Saddle Point Theorem and Applications, Harris Enniss

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Approval Voting in Box Societies, Patrick Eschenfeldt

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Switching Between Cooperation and Competition in Social Selection, August Guang

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

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Searching Stars for a Moving Hider, Jennifer Iglesias

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Flatterland: The Play, Kym Louie

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Uniquely Solvable Puzzles and Fast Matrix Multiplication, Palmer Mebane

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

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Detecting Covert Members of Terrorist Networks, Alice Paul

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Algebraic Methods for Log-Linear Models, Aaron Pribadi

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

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Analysis of Swarm Behavior in Two Dimensions, Louis Ryan

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Russian Mathematical Pedagogy in Reasoning Mind, Maia Valcarce

Senior Theses from 2011

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

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Swarm Control Through Symmetry and Distribution Characterization, Georgi Dinolov

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

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

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Extending List Colorings of Planar Graphs, Sarah Loeb

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

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Verification of Solutions to the Sensor Location Problem, Chandler May

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

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

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Combinatorial Interpretations of Fibonomial Identities, Elizabeth Reiland

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

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Continued Fractions: A New Form, Donald Lee Wiyninger III

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Simulations of Surfactant Spreading, Jeffrey Wong

Senior Theses from 2010

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