About Me
I am a Visiting Assistant Professor of Mathematics and Computer Science at Davidson College. My main areas of interest are (spectral) graph theory, operator theory, and mathematical physics. I am especially interested in interdisciplinary questions which use tools from these fields in unexpected ways. More broadly, I seek to understand the interplay between various continuous and discrete structures. I am also interested in the roles of diversity and inclusivity mathematics, and in the development of teaching practices which better serve students from underserved groups.
COLLABORATORS
RESEARCH
The GKSL Master Equation
Much of my current research revolves around the GKSL master equation, the most general equation for describing Markovian and time-homogenous evolution of a quantum system. I am particularly interested in the connections this equation has to graph theory and in generalizing this equation to infinite dimensions without boundedness assumptions.
George Androulakis
University of South Carolina
Matthew Ziemke
Drexel University
The Dark Web
I am interested in the use of quantum techniques to describe the structure of internet black markets. In particular, my collaborators and I seek to determine the survival mechanisms which allow these marketplaces to proliferate despite the efforts of law enforcement.
Digraph Spectra
Classifying cospectral graphs is an interesting open problem for which much work has been done in recent years. Directed graphs are far, far less likely to be determined by their spectrum, so we propose an alternative `spectrum' as a way to classify graphs in the directed case. The first set of classifications can be found here, and a second paper in is preparation.
Felipe Thomaz
University of Oxford
Gregory Clark
University of Oxford
Thomas Cameron
Davidson College
Michael Robertson
Davidson College '20