## Welcome to Cornell Math's Summer Program for Undergraduate Research (SPUR/REU)

This program provides the opportunity for undergraduate students of mathematics to participate in leading-edge research. Each year, we offer three different projects, each led by an expert in the field.

See the project descriptions for more information on the current program.

## Results from Previous Years

#### 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

- Self-Similar Laplacian on the Sierpinksi Gasket with Twists
- The Sierpinski carpet and octagasket via outer approximation
- Higher Dimensional Sierpinski Gaskets

#### Older Work

- Conformal Energy, Conformal Laplacian, and Energy Measures on the Sierpinski Gasket
- http://pi.math.cornell.edu/~thb9d/
- 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