Wolff Memorial Lectures

First introduced by Ramsey in the 1930s, the Ramsey numbers have become central objects in combinatorics and have inspired a rich and beautiful theory. However, until recently, there has been very little improvement in our understanding of the Ramsey numbers themselves.

In this talk I will survey the main questions in this area and highlight some of these exciting recent developments. In later lectures, I will further discuss some of these results and emphasize the new ideas and connections to other areas.