Colleen Delaney

Research

My research interests lie in algebraic and computational aspects of quantum field theories.

Mostly I work in applications of category theory to quantum information science, the former being an algebraic setting of 2+1 dimensional topological quantum field theories. In particular I study fusion categories that model particle-like objects that arise in 2+1 dimensional topological phases of matter and their application for topological quantum information processing.

In summer 2017 I was an intern in the computational physics lab at HRL Laboratories, where I worked on mathematical aspects of quantum computing with semiconductor quantum dots.

I also enjoy studying algebraic and combinatorial structure that arises in high-energy physics and their interplay with information theory. I'm currently working on an Amplituhedron-inspired project.