Fields Academy Shared Graduate Course: Algebraic Methods in Extremal Combinatorics
Description
Instructor: Professor Mohamed Omar, York University
Course Description
This graduate topics course is centered on the application of algebraic methods to problems in extremal combinatorics. The course will focus on methods that have been developed within the past two decades, with a highlight on methods that are state-of-the art; it will also feature some classical results whose techniques are ubiquitous in the literature. Central themes will include linear independence and rank methods applied to incidence problems in combinatorics, polynomial methods and the resolution of the Finite Field Kakeya problem, the Combinatorial Nullstel-lensatz, the slice rank polynomial method. Much of the course work will focus on analyzing themes in research articles that use these tools.
(More logistical details are coming soon.)