Previous Undergraduate Summer Research Projects
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2016

Analysis on Fractals, directed by Robert Strichartz

Topological Methods in Discrete Geometry, directed by Florian Frick

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, ChipFiring Games, and Algebraic Geometry, directed by Farbod Shokrieh
2014

Analysis on Fractals, directed by Robert Strichartz

Nonlinear Heat Equations, directed by Xiaodong Cao

Graphs, ChipFiring Games, and Algebraic Geometry, directed by Farbod Shokrieh
2013

Analysis on Fractals, directed by Robert Strichartz

Generating Sets for Finite Groups, directed by Keith Dennis

High Dimensional Data Analysis, directed by Matthew Hirn
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

SelfSimilar Laplacian on the Sierpinksi Gasket with Twists
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

PEnergy on the Sierpinski Gasket (2001)

PEnergy 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