## Thesis Defense

Alexander Stathis

UIC

Intersection Theory on the Hilbert Scheme of Points in the Projective Plane

**Abstract:**I will discuss my results concerning the intersection product in the Chow ring of the Hilbert scheme of points in the projective plane. Specifically, I provide an explicit algorithm to compute the intersection of elements of complementary codimension in a basis for the Chow groups due to Mallavibarrena and Sols and an explicit algorithm to compute the action of a natural divisor on the classes in this basis. This is my thesis defense.

Wednesday April 26, 2017 at 9:00 AM in SEO 612