Ramsey theory is one of the central topics in modern combinatorics, with applications and relations to many other parts of mathematics. This course introduces many of the fundamental results, techniques, and problems in Ramsey theory, covering both classical results and very recent breakthroughs. Applications to computer science, geometry, number theory, and other fields will also be discussed.

Ramsey theory is one of the central topics in modern combinatorics, with applications and relations to many other parts of mathematics. This course introduces many of the fundamental results, techniques, and problems in Ramsey theory, covering both classical results and very recent breakthroughs. Applications to computer science, geometry, number theory, and other fields will also be discussed.