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Senior Theses from 2015

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

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

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Combinatorial Proofs Using Complex Weights, Bo Chen

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A Multistage Incidence Estimation Model for Diseases with Differential Mortality, Alyssa W. Dray

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Optimizing Restaurant Reservation Scheduling, Jacob Feldman

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Group Frames and Partially Ranked Data, Kwang B. Ketcham

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Understanding Voting for Committees Using Wreath Products, Stephen C. Lee

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Arithmetic on Specializable Continued Fractions, Ross C. Merriam

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Computational Feasibility of Increasing the Visibility of Vertices in Covert Networks, Yaniv J. Ovadia

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A Nonlinear ODE Model of Tumor Growth and Effect of Immunotherapy and Chemotherapy Treatment in Colorectal Cancer, Hannah P. Savage

Senior Theses from 2009

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Mathematical AIDS Epidemic Model: Preferential Anti-Retroviral Therapy Distribution in Resource Constrained Countries, Nadia Abuelezam