Senior Theses from 2007
Infinitely Many Radial Solutions to a Superlinear Dirichlet Problem, Chee Meng Tan
An ODE Model of Biochemotherapy Treatment for Cancer, James Moore
Radial Solutions to an Elliptic Boundary Valued Problem, Ivan Ventura
A Tiling Approach to Chebyshev Polynomials, Daniel Walton
Senior Theses from 2006
A Fast Fourier Transform for the Symmetric Group, Tristan Brand
The Negs and Regs of Continued Fractions, Alexander Eustis
Turing Pattern Dynamics for Spatiotemporal Models with Growth and Curvature, Julijana Gjorgjieva
Kolmogorov Complexity of Graphs, John Hearn
Foraging Fruit Flies: Lagrangian and Eulerian Descriptions of Insect Swarming, Joesph Majkut
Optimal Control of a Building During an Earthquake, Kenneth Maples
Matrix Representation of Knot and Link Groups, Jessica May
The Singular Values of the Exponientiated Adjacency Matrixes of Broom-Tree Graphs, Tracy Powell
An Exploration in Subtropical Algebra, Nikolas Rauh
Connections Between Voting Theory and Graph Theory, Dev Seacrest
Mathematical Models of Image Processing, Tyler Seacrest
An Exploration of Riemann's Zeta Function and Its Application to the Theory of Prime Distribution, Elan Segarra
Succession, Invasion, & Coexistence: PDEs in Ecology, Simon Maccracken Stump
Senior Theses from 2005
Constructing a Matrix Representation of the Lie Group G2, Ruben Arenas
Noncommutative Geometry, Steven Avery
An Investigation of Rupture in Thin Fluid Films, Robin Baur
Permutation Routing in the Hypercube and Grid Topologies, Tim Alan Carnes
An Algebraic Approach to Voting Theory, Zajj Daugherty
Solving for Volume-Minimizing Cycles in G2-Manifolds, Jeff Loren Jauregui
Constructing Phylogenetic Trees from Subsplits, Akemi Kashiwada
Generalized Julia Sets: An Extension of Cayley's Problem, Owen Lewis
Decimation-in-Frequency Fast Fourier Transforms for the Symmetric Group, Eric Malm
Cesaro Limits of Analytically Perturbed Stochastic Matrices, Jason Murcko
Combinatorial Consequences of Relatives of the Lusternik-Schnirelmann-Borsuk Theorem, Gwen Spencer
Extensions of Graph Pebbling, Carl Yerger
Senior Theses from 2004
Separating Sets for the Alternating and Dihedral Groups, Melissa Banister
Representation Theoretical Methods in Image Processing, William Chang
Representation Theoretical Approach to n-Candidate Voting, Grant Clifford
Toeplitz Operators on Locally Compact Abelian Groups, David Gaebler
Alexander Polynomials of Tunnel Number One Knots, Robert Gaebler
Modeling Cancer Cell Response to Immunotherapy, Eric Harley
Senior Theses from 2003
Convergence of Planar Domains and of Harmonic Measure Distribution Functions, Ariel Barton
Modelling Advection and Diffusion in Microchannels, Dan Beutel
Covering Numbers of the Cubes, Adam Bliss
Modeling Moving Droplets: A Precursor Film Approach, Benjamin Bryant
Shortest Path Problems: Multiple Paths in a Stochastic Graph, Melissa Chase
The Kapitza–Dirac Effect: An Approach from QED, David Clarke
A Combinatorial Analog of the Poincaré–Birkhoff Fixed Point Theorem, John Cloutier
An Eigenspace Approach to Isotropic Projections for Data on Binary Trees, Nate Eldredge
Fluid Drop Coalescence in a Hele-Shaw Cell, Daniel Gianotti
The Hausdorff Dimension of the Julia Set of Polynomials of the Form zd + c, Stephen Haas
The Conformal Center of a Triangle or Quadrilateral, Andrew Iannaccone
Ridge Coarsening in Evaporatively Driven Climbing Films, Peter Lamb
Braids and Juggling Patterns, Matthew Macauley
Eigenvalue Etch-A-Sketch, Jessica Nelson
Turbulence, Magnetics, and Closure Equations, Jane Pratt
Searching for Supersymmetric Cycles: A Quest for Cayley Manifolds in the Calabi–Yau 4-Torus, Christopher Pries
Designing Smooth Motions of Rigid Objects: Computing Curves in Lie Groups, Ross Monet Richardson
Combinatorial Proofs of Congruences, Jeremy Rouse
Geometry and Topology of the Minkowski Product, Micah Smukler
Minkowski Actions of Quaternion Sets and their Applications, Kira Sushkoff
Generalized Spectral Analysis for Large Sets of Approval Voting Data, David Uminsky
Senior Theses from 2002
Representations and the Symmetric Group, Elizabeth Norton
Senior Theses from 2001
Continued Fractions and their Interpretations, Christopher Hanusa
Developing Scoring Methods for a Non-Additive Psychometric Measure of Social Skills/Interpersonal Competence, Angela Kurle
Mixing in Curved Pipes, Marco Latini
Structure Attacks in Cryptographic Protocols, Karl Mahlburg
Fractional Analogues in Graph Theory, Ari Nieh
Computational Simulation of Fluid Dynamics in Thin Films, Anand Patil
Combinatorial Explanations of Known Harmonic Identities, Greg Preston
The Approximate Inclusion of Triple Excitations in EOM-type Quantum Chemical Methods, Mike Rust
Measuring Electron Gas Relaxation in Gold through Second Harmonic Generation, Paul SanGiorgio
Computational Evolutionary Linguistics, Tracy vanCort
Super-Symmetric Three-Cycles in String Theory, Ian Weiner
Senior Theses from 2000
Genetic Algorithms and the Travelling Salesman Problem, Kylie Bryant
Brownian Motion and Planar Regions: Constructing Boundaries from h-Functions, Otto Cortez
Examples of Volume-Preserving Great Circle Flows of S3, Ryan Haskett
Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays, Michael Lauzon
Optimal Expected Values for Cribbage Hands, Philip Martin
Rates of Convergence to Self-Similar Solutions of Burgers' Equation, Joel Miller
Combinatorial Proofs of Generalizations of Sperner's Lemma, Elisha Peterson
Finite Invariance of Cayley Calibration Form, Yinan Song
