Peter Sarnak is a South African-born mathematician with dual South-African and American nationalities. He has been Eugene Higgins Professor of Mathematics at Princeton University since 2002, ...

The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of ...

We will cover some of the more important results from commutative and noncommutative algebra as far as applications to automatic sequences, pattern avoidance, and related areas. Well give an overview ...

We discuss some new results for the Cheeger constant in dimension two, including:

- a polygonal version of Faber-Krahn inequality;

- a reverse isoperimetric inequality for convex bodies;

- a ...