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Senior Theses from 2005

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Cesaro Limits of Analytically Perturbed Stochastic Matrices, Jason Murcko

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Combinatorial Consequences of Relatives of the Lusternik-Schnirelmann-Borsuk Theorem, Gwen Spencer

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Extensions of Graph Pebbling, Carl Yerger

Senior Theses from 2004

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Separating Sets for the Alternating and Dihedral Groups, Melissa Banister

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Representation Theoretical Methods in Image Processing, William Chang

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Representation Theoretical Approach to n-Candidate Voting, Grant Clifford

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Toeplitz Operators on Locally Compact Abelian Groups, David Gaebler

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Alexander Polynomials of Tunnel Number One Knots, Robert Gaebler

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Modeling Cancer Cell Response to Immunotherapy, Eric Harley

Senior Theses from 2003

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Convergence of Planar Domains and of Harmonic Measure Distribution Functions, Ariel Barton

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Modelling Advection and Diffusion in Microchannels, Dan Beutel

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Covering Numbers of the Cubes, Adam Bliss

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Modeling Moving Droplets: A Precursor Film Approach, Benjamin Bryant

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Shortest Path Problems: Multiple Paths in a Stochastic Graph, Melissa Chase

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The Kapitza–Dirac Effect: An Approach from QED, David Clarke

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A Combinatorial Analog of the Poincaré–Birkhoff Fixed Point Theorem, John Cloutier

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An Eigenspace Approach to Isotropic Projections for Data on Binary Trees, Nate Eldredge

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Fluid Drop Coalescence in a Hele-Shaw Cell, Daniel Gianotti

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The Hausdorff Dimension of the Julia Set of Polynomials of the Form zd + c, Stephen Haas

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The Conformal Center of a Triangle or Quadrilateral, Andrew Iannaccone

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Ridge Coarsening in Evaporatively Driven Climbing Films, Peter Lamb

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Braids and Juggling Patterns, Matthew Macauley

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Eigenvalue Etch-A-Sketch, Jessica Nelson

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Turbulence, Magnetics, and Closure Equations, Jane Pratt

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Searching for Supersymmetric Cycles: A Quest for Cayley Manifolds in the Calabi–Yau 4-Torus, Christopher Pries

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Designing Smooth Motions of Rigid Objects: Computing Curves in Lie Groups, Ross Monet Richardson

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Combinatorial Proofs of Congruences, Jeremy Rouse

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Geometry and Topology of the Minkowski Product, Micah Smukler

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Minkowski Actions of Quaternion Sets and their Applications, Kira Sushkoff

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Generalized Spectral Analysis for Large Sets of Approval Voting Data, David Uminsky

Senior Theses from 2002

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Representations and the Symmetric Group, Elizabeth Norton

Senior Theses from 2001

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Continued Fractions and their Interpretations, Christopher Hanusa

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Developing Scoring Methods for a Non-Additive Psychometric Measure of Social Skills/Interpersonal Competence, Angela Kurle

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Mixing in Curved Pipes, Marco Latini

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Structure Attacks in Cryptographic Protocols, Karl Mahlburg

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Fractional Analogues in Graph Theory, Ari Nieh

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Computational Simulation of Fluid Dynamics in Thin Films, Anand Patil

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Combinatorial Explanations of Known Harmonic Identities, Greg Preston

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The Approximate Inclusion of Triple Excitations in EOM-type Quantum Chemical Methods, Mike Rust

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Measuring Electron Gas Relaxation in Gold through Second Harmonic Generation, Paul SanGiorgio

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Computational Evolutionary Linguistics, Tracy vanCort

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Super-Symmetric Three-Cycles in String Theory, Ian Weiner

Senior Theses from 2000

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Genetic Algorithms and the Travelling Salesman Problem, Kylie Bryant

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Brownian Motion and Planar Regions: Constructing Boundaries from h-Functions, Otto Cortez

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Examples of Volume-Preserving Great Circle Flows of S3, Ryan Haskett

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Reconstruction of Convex Bodies in the Plane from Three Non-Collinear Point Source Directed X-Rays, Michael Lauzon

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Optimal Expected Values for Cribbage Hands, Philip Martin

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Rates of Convergence to Self-Similar Solutions of Burgers' Equation, Joel Miller

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Combinatorial Proofs of Generalizations of Sperner's Lemma, Elisha Peterson

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Finite Invariance of Cayley Calibration Form, Yinan Song