I have broad interests, spanning mathematics, physics and computer science, among others.

In 2020, I graduated with a PhD in Mathematics from the University of Michigan. My advisor was Igor Kriz and my specialization was algebraic topology, or more specifically homotopy theory and higher category theory. The title of my thesis was Stabilizations of E_∞ Operads and p-Adic Stable Homotopy Theory and, in it, I constructed an algebraic model for p-adic stable homotopy theory via algebras over differential-graded operads, providing a stable version of a corresponding unstable result of Mandell.

In 2015, I graduated with an MSc in Mathematics from the University of Sydney. My advisor was Stephan Tillmann and my specialization was geometric topology, or more specifically 3-manifold topology. The title of my thesis was Representations of the Fundamental Groups of Triangulated 3-Manifolds and, in it, I formulated a framework for constructing representations of the fundamental groups of triangulated 3-manifolds using combinatorial data, one which unified methods of Rubinstein-Tillmann and Luo, and studied and found a counterexample to a conjecture of Luo concerning a strong form of residual finiteness of 3-manifold groups.

In 2014, I graduated with a BSc (Adv. Math.) in Mathematics, including an Honours year, from the University of Sydney. My Honours advisor was Stephan Tillmann and my specialization was geometric topology, or more specifically 3-manifold topology. The title of my thesis was The Hyperbolic Gluing Equations Over Commutative Rings and a Residual Property of 3-Manifold Groups and, in it, I proved a conjecture of Luo concerning a strong form of residual finiteness for 3-manifold groups for certain special classes of 3-manifolds. At the end of the Honours year, I was awarded First Class Honours and the University Medal.