Research

My research explores the interplay between mathematics and theoretical physics with a focus on the mathematics underlying supersymmetric high energy physics. I have two main research programs. One of these combines the study of K-theory and string theory dualities. My other research program studies geometric representations of supersymmetry algebras. This program combines work in graph theory, coding theory, Riemann surface theory, and discrete Morse theory.

Some of my research papers can be found below.