• Loop spaces and Operads (written in preparation for my A-Exam)
    This document serves as an introduction to operads and their algebras, along with basic examples. We review the theory necessary to show May’s recognition principle for loop spaces, and then, following Berger and Moerdijk, present a model structure on the category of operads which allows us to show that every loop space can be rectified to a topological monoid.
  • Infinity and Paradoxes
    Problem sets + teaching notes written for the session I led of Cornell's Math Explorer's Club -- a two day, fun activity that introduces new math concepts to high school students.