## Department Colloquium

### Friday, January 31st, 2020

**Time:** 2:30 p.m. **Place:** Jeffery Hall 234

**Speaker:** Gregory G. Smith (Queen's University)

**Title:** The geometry of closed subsets.

**Abstract: ** How can we understand the spaces embedded in a fixed projective space? There are different ways to answer this question. After examining a few, we will focus on a geometric approach. Ultimately, we aim to determine when the natural parameter space (the so called Hilbert scheme) is smooth.

**Gregory G. Smith** is a Professor of Mathematics at Queen's University. His research interests include algebraic geometry, commutative algebra, computer algebra and combinatorics. He was elected a fellow of the Canadian Mathematical Society in 2018. He also received the 2012 Coxeter-James Prize and 2007 André Aisenstadt Prize.