Previous Undergraduate Summer Research Projects
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2016
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Analysis on Fractals, directed by Robert Strichartz
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Topological Methods in Discrete Geometry, directed by Florian Frick
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On Reay's relaxed Tverberg conjecture and generalizations of Conway's thrackle conjecture
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Nonlinear Heat Equations, directed by Xiaodong Cao
2015
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Analysis on Fractals, directed by Robert Strichartz
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Harmonic Analysis on Stiefel Manifolds, directed by Raul Gomez
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Graphs, Chip-Firing Games, and Algebraic Geometry, directed by Farbod Shokrieh
2014
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Analysis on Fractals, directed by Robert Strichartz
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Nonlinear Heat Equations, directed by Xiaodong Cao
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Graphs, Chip-Firing Games, and Algebraic Geometry, directed by Farbod Shokrieh
2013
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Analysis on Fractals, directed by Robert Strichartz
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Generating Sets for Finite Groups, directed by Keith Dennis
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High Dimensional Data Analysis, directed by Matthew Hirn
2012
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Analysis on Fractals, directed by Robert Strichartz
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Packings and Tilings, directed by Robert Connelly
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The Heat Equation, directed by Xiaodong Cao
2011
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Analysis on Fractals, directed by Robert Strichartz
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Generating Sets for Finite Groups, directed by Keith Dennis
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Combinatorics of Triangulations, directed by Ed Swartz
2010
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Analysis on Fractals, directed by Robert Strichartz
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Geometric Differential Equations, directed by Xiaodong Cao
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Optimality and Uncertainty, directed by Alexander Vladimirsky
2009
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Analysis on Fractals (Robert Strichartz)
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Solving Games on Graphs, Fast (Sasha Rubin)
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Groups via Actions (Collin Bleak)
2008
2007
2006
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Self-Similar Laplacian on the Sierpinksi Gasket with Twists
Older Work
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Conformal Energy, Conformal Laplacian, and Energy Measures on the Sierpinski Gasket
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Approximating the Laplacian on Fractal Domains as a Limit of the Plane Laplacian on Domains Approaching the Fractal
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Geometry of Numbers Work 2001
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Karl Papadantonakis Henon Mapping Work (and some other)
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Medusa Program for Polynomial Matings
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Finite Elements on the Sierpinski Gasket
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Differential Equations on the Sierpinski Gasket
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Harmonic Mappings of the Sierpinski Gasket
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Sampling Theory for Functions with Fractal Spectrum
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Sampling on the Sierpinski Gasket
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Fourier Series on the Sierpinski Gasket
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P-Energy on the Sierpinski Gasket (2001)
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P-Energy on Sierpinski Gaskets (2002)
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Pentagasket Research (Alex Smith)
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Polynomials and Power Series on Sierpinski Gaskets
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Levy's Dragon
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FEM on Sierpinski Gaskets
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Periodic Solutions to Forced Van der Pol
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Forced VdP, Bifurcation Diagram, Canards
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FVDP Summaries and Auto Work
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Surfaces Related to Henon Maps and the Program Cubism
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Work from 1998