## 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 at least three different projects, each led by an expert in the field.

This year, some projects are designated "SPUR" and others are designated "REU." The difference between SPUR and REU projects is the funding available:

Student funding for **SPUR** projects comes from Cornell. To receive funding, you **need** to be a Cornell student but **do not need** to be a US citizen or resident.

Student funding for **REU** projects comes from the US National Science Foundation. For this, you **need** to be a US citizen or permanent resident, but **do not need** to be a Cornell student.

If you come with your own funding, the above restrictions do not apply, but of course you will still be subject to the same competitive selection process.

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