Department of Mathematics

Stony Brook University

Stony Brook, NY 11794-3651

E-mail: niu@math.stonybrook.edu

Advisor: Aleksey Zinger

Geometric properties of complex and real Gromov-Witten invariants in algebraic geometry and symplectic topology via analytic and topological methods; mirror symmetry; connections with enumerative geometry

- Lower bounds for enumerative counts of positive-genus real curves

joint with A. Zinger, 49 pages, 3 figures, 2 tables, math/1511.02206

Appendix, 121 pages, 316 diagrams

Poster for AGNES at Brown University, 2015 - A sharp compactness theorem for genus-two pseudo-holomorphic maps, in preparation