Combinatorics

Combinatorics is concerned with counting problems. The theorems in the subject typically do not assume much structure and apply quite generally. In recent years, the interplay between arithmetic and combinatorics has resulted in a flurry of activity.

Mathematics

Intersecting Algebraic Geometry and Combinatorics: Q&A with Shiyue Li

Shiyue Li, Member in the School of Mathematics, is interested in algebraic geometry and combinatorics. As a researcher she enjoys, in her words, “the freedom to wonder about fascinating things in nature, and the connections with other minds from around the world.”

Mathematics

The Geometry of Random Spaces

Matthew Kahle

The Institute Letter Summer 2011

I sometimes like to think about what it might be like inside a black hole. What does that even mean? Is it really “like” anything inside a black hole? Nature keeps us from ever knowing. (Well, what we know for sure is that nature keeps us from...

Mathematics

Hot Topic: Arithmetic Combinatorics

The Institute Letter Summer 2008

During the first term of 2007–08, School of Mathematics Professor Jean Bourgain and Member Van Vu of Rutgers, The State University of New Jersey, ran a program on arithmetic combinatorics. The Members in residence for the program ranged from Endre...