RUI: Moduli Spaces and Combinatorial Algebraic Geometry
Donor: National Science Foundation, Algebra, Number Theory and Combinatorics (ANTC)
Award Date: 4/22/2011
Professor Chen studies combinatorial and enumerative problems in algebraic geometry. Fundamentally linked to these problems are the study of moduli and parameter spaces and their cohomology theories, the study of objects combinatorially rich in structure, and degeneration techniques and their applications. In particular, Professor Chen works on equivariant quantum cohomology theories, affine Grassmannians, Hessenberg varieties, flag varieties, moduli spaces of curves, quot schemes, GKM spaces, and stacks and their toric degenerations. Of particular interest are fruitful interactions between modern methods in algebraic geometry and new developments in combinatorics, symplectic geometry, representation theory and physics.
Project Period: 7/1/2011 – 6/30/2015