Ethan White

A set $A$ is Sidon if all pairwise sums of elements in $A$ are distinct. A pair of sets $A,B$ is co-Sidon if $|A+B| = |A||B|$, i.e., all sums $a+b$ are distinct with $a \in A$ and $b \in B$. We will focus on the setting $A,B \subset \{0,1\}^n$, where...

This is the first part of a two part exposition on the triangle-free process. The triangle-free process begins on an empty graph and adds edges at random, provided no triangle is created with the existing edges. One of the original motivations for...

This is the second part of a two part series on the triangle-free process. The triangle-free process begins on an empty graph and adds edges at random, provided no triangle is created with the existing edges. One of the original motivations for this...

In this second part of our exposition on the joints problem we showcase Yu and Zhao’s `Joints tightened’. This exciting application of the polynomial method has resulted in a rare occurrence in incidence geometry; the exact constant has been...