## Projects for the 2007 Math REU Program

### Project #: Math 2007-01

**Enumerative Geometry**

Mentor: Anders Buch, Department of Mathematics, asbuch@math.rutgers.edu

The students will learn about and investigate problems in the general area of enumerative geometry. Depending on student interest, topics may include Schubert calculus, quantum cohomology, degeneracy locus formulas, and combinatorics.

### Project #: Math 2007-02

**Representation theory of affine Lie algebras**

Mentors: William Cook, Department of Mathematics, wjcook@math.rutgers.edu and Yi-Zhi Huang, Department of Mathematics, yzhuang@math.rutgers.edu

### Project #: Math 2007-03

**Set Theory and Discrete Mathematics**

Mentors: Simon Thomas, Department of Mathematics, sthomas@math.rutgers.edu and János Komlós, Department of Mathematics, komlos@math.rutgers.edu

Co-mentor: Sam Coskey, graduate student, scoskey@math.rutgers.edu

### Project #: Math 2007-04

**Geometric Partial Differential Equations**

Mentor: Eduardo Teixeira, Department of Mathematics, teixeira@math.rutgers.edu