Previous Undergraduate Summer Research Projects

2016




  • Analysis on Fractals, directed by Robert Strichartz




  • Topological Methods in Discrete Geometry, directed by Florian Frick




    • On Reay's relaxed Tverberg conjecture and generalizations of Conway's thrackle conjecture






  • Nonlinear Heat Equations, directed by Xiaodong Cao




2015




  • Analysis on Fractals, directed by Robert Strichartz




  • Harmonic Analysis on Stiefel Manifolds, directed by Raul Gomez




  • Graphs, Chip-Firing Games, and Algebraic Geometry, directed by Farbod Shokrieh




2014



2013



2012




  • Analysis on Fractals, directed by Robert Strichartz





  • Packings and Tilings, directed by Robert Connelly




  • The Heat Equation, directed by Xiaodong Cao




2011




  • Analysis on Fractals, directed by Robert Strichartz




  • Generating Sets for Finite Groups, directed by Keith Dennis




  • Combinatorics of Triangulations, directed by Ed Swartz




2010




  • Analysis on Fractals, directed by Robert Strichartz




  • Geometric Differential Equations, directed by Xiaodong Cao




  • Optimality and Uncertainty, directed by Alexander Vladimirsky




2009




  • Analysis on Fractals (Robert Strichartz)




  • Solving Games on Graphs, Fast (Sasha Rubin)




  • Groups via Actions (Collin Bleak)




2008



2007



2006



Older Work




  • Conformal Energy, Conformal Laplacian, and Energy Measures on the Sierpinski Gasket




  • Approximating the Laplacian on Fractal Domains as a Limit of the Plane Laplacian on Domains Approaching the Fractal




  • Geometry of Numbers Work 2001




  • Karl Papadantonakis Henon Mapping Work (and some other)




  • Medusa Program for Polynomial Matings




  • Finite Elements on the Sierpinski Gasket




  • Differential Equations on the Sierpinski Gasket




  • Harmonic Mappings of the Sierpinski Gasket




  • Sampling Theory for Functions with Fractal Spectrum




  • Sampling on the Sierpinski Gasket




  • Fourier Series on the Sierpinski Gasket




  • P-Energy on the Sierpinski Gasket (2001)




  • P-Energy on Sierpinski Gaskets (2002)




  • Pentagasket Research (Alex Smith)




  • Polynomials and Power Series on Sierpinski Gaskets




  • Levy's Dragon




  • FEM on Sierpinski Gaskets




  • Periodic Solutions to Forced Van der Pol




  • Forced VdP, Bifurcation Diagram, Canards




  • FVDP Summaries and Auto Work




  • Surfaces Related to Henon Maps and the Program Cubism




  • Work from 1998




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