Office Location: | 033 Physics Bldg |

Office Phone: | (919)-660-2823 |

Email Address: | |

Web Page: | http://www.math.duke.edu/~jdavis/ |

**Education:**PhD University of Wisconsin 2005 BA Oberlin College 1998

**Specialties:**-
Geometry

Topology

**Research Interests:***symplectic topology, algebraic geometry, string theory*Loosely speaking, Gromov-Witten invariants are rational numbers that count how many pseudoholomorphic curves (maps from closed surfaces satisfying certain stringent conditions, including the Cauchy-Riemann equation) there are in a given symplectic manifold. These invariants are used to gain information and prove results about symplectic manifolds; they also play a crucial role in (type IIA) string theory, a branch of physics that attempts to unify general relativity and quantum mechanics. My own work concerns the definition of relative Gromov-Witten invariants in certain singular situations, and how the invariants behave under symplectic surgeries.

**Keywords:**symplectic topology • algebraic geometry • Gromov-Witten invariants