Combinatorics

Abstract: We will first give a broad overview of some extremal combinatorics problems, and some probabilistic and algebraic methods used to attack them. We will also give a broad overview of some probabilistic combinatorics problems, which are pure probability problems...

Abstract: A Boolean function takes in a binary string and outputs a 1 or 0. I will discuss how techniques from Fourier analysis and probability can be used to study these functions. We'll also look at applications to graph theory....