Degeneration technique in Gromov-Witten and Donaldson-Thomas theories

I will review some aspects of degeneration technique in curve counting problems via Gromov-Witten and Donaldson-Thomas theories. This has been one of the major tools in developments in both theories and computing the invariants. I will then talk about a progress on the foundation of the degeneration technique for some moduli spaces of stable sheaves that is a joint work with Dohoon Kim.

Amin defended his PhD thesis at the University of British Columbia in 2007, under the supervision of Jim Bryan, and is currently a professor at the University of Maryland.