Computing Gromov-Witten invariants using tropical techniques

Gromov-Witten invariants are important invariants of symplectic manifolds inspired by string theory. They are defined by counting holomorphic curves, which are certain holomorphic maps of Riemann surfaces into symplectic manifolds. The background required to study Gromov-Witten invariants is rather formidable, but in some situations counting holomorphic curves amounts to counting piecewise linear graphs called tropical curves. This project involves using tropical curve techniques to make publishable computations of Gromov-Witten invariants. In parallel to this, the student will learn some of the background required to be able to understand the context of their work and approach the existing literature.