Description: Knot Theory is the study of closed curves in 3 dimensional space. When working with knots, we don’t have the language of numbers and functions that we are accustomed to in math. Instead, we have to identify new properties of our geometric objects that will enable us to make precise, mathematical arguments. One possible project direction is to study the categorization of knots. That is, what tools can we develop that will allow us to determine if two knots are equivalent or distinct?