16:642:587

Spring 2023

Bhargav Narayanan

Subtitle:

Recent Developments

Course Description:

This course will address some of the exciting recent developments in the field of discrete mathematics. Amongst other things, we will cover the recent resolutions of Kahn-Kalai/Talagrand conjectures on thresholds, spectral methods and the resolution of the sensitivity conjecture, the development of hypergraph containers, and some recent developments in the theory of discrete random matrices.

Textbook:

None

Prerequisites:

Some familiarity with undergraduate algebra (linear and abstract), as well as general mathematical maturity