Senior Theses from 2015
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
Combinatorial Proofs Using Complex Weights, Bo Chen
A Multistage Incidence Estimation Model for Diseases with Differential Mortality, Alyssa W. Dray
Optimizing Restaurant Reservation Scheduling, Jacob Feldman
Algebraic Reasoning in Elementary School Students, Ivan Hernandez
Group Frames and Partially Ranked Data, Kwang B. Ketcham
Understanding Voting for Committees Using Wreath Products, Stephen C. Lee
Arithmetic on Specializable Continued Fractions, Ross C. Merriam
Computational Feasibility of Increasing the Visibility of Vertices in Covert Networks, Yaniv J. Ovadia
A Nonlinear ODE Model of Tumor Growth and Effect of Immunotherapy and Chemotherapy Treatment in Colorectal Cancer, Hannah P. Savage
Senior Theses from 2009
Mathematical AIDS Epidemic Model: Preferential Anti-Retroviral Therapy Distribution in Resource Constrained Countries, Nadia Abuelezam
Abelian Sandpile Model on Symmetric Graphs, Natalie Durgin
Exploring Agreeability in Tree Societies, Sarah Fletcher
Mathematical Model of the Chronic Lymphocytic Leukemia Microenvironment, Ben Fogelson
Locality and Complexity in Path Search, Andrew Hunter
Fast Matrix Multiplication via Group Actions, Hendrik Orem
Existence of Continuous Solutions to a Semilinear Wave Equation, Ben Preskill
Branching Diagrams for Group Inclusions Induced by Field Inclusions, Tedodore Spaide
Senior Theses from 2008
Boundary Cycles in Random Triangulated Surfaces, Kevin Fleming
Wavelets and Wavelet Sets, Sara Gussin
Intrinsic Linking and Knotting of Graphs, Kenji Kozai
An Integrodifferential Equation Modeling 1-D Swarming Behavior, Andrew Leverentz
Dot Product Representations of Graphs, Gregory Minton
Characteristics of Optimal Solutions to the Sensor Location Problem, David Morrison
Functions of the Binomial Coefficient, Sean Plott
Rigid Divisibility Sequences Generated by Polynomial Iteration, Brian Rice
Approximating Solutions to Differential Equations via Fixed Point Theory, Douglas Rizzolo
Sperner's Lemma Implies Kakutani's Fixed Point Theorem, Mutiara Sondjaja
Formation of Labyrinth Patterns in Langmuir Films, George Tucker
Graph Linear Complexity, Jason Winerip
Senior Theses from 2007
Applications of the q-Binomial Coefficients to Counting Problems, Jonathan Azose
Hole Closure in Langmuir Fluid Monolayers, Kazh Brito
Analyzing Traveling Waves in a Viscoelastic Generalization of Burgers' Equation, Victor Camacho
Algebra and Phylogenetic Trees, Michael Hansen
Understanding Counterexamples to Lubin's Conjecture, Andrea Heald
Investigating the Use of Brainfingers in Children with Cerebral Palsy for Spatial-Motor Education, Nicholas Herman
Special Cases of Carry Propagation, Alexander Izsak
Voting Paradoxes Caused by Dropping Candidates in an Election, Marie Jameson
A Decimation-in-Frequency Fast-Fourier Transform for the Symmetric Group, Masanori Koyama
Effective Cost Allocation for Deterrence of Terrorists, Eugene Lee Quan
