RUI: Randomness, computability, and complexity in groups
Groups are a class of fundamental objects in algebra, and more generally, mathematics. They originated as a way to describe symmetries in both mathematics and nature. It turns out that almost all algebraic mathematical structures can be considered as a group with some extra structure. More recently, group theory has also found uses in cryptography. Many tools from other fields, like combinatorics and geometry, have proven useful in the stud...
Logic and Foundations, Algebra