I loosely consider myself an algebraic topologist. My research so far has explored the characteristic classes of principal G-bundles built from continuous families of representations and used this information to explore the homotopy type of the spaces of flat connections of G-bundles. In general I am interested in gauge theoretic moduli spaces, topological K-theory, and foliated principal bundles.
I also have some pet interest in applications of topological data analysis to social justice issues, and I am always interested in improving my teaching pedagogy.
Kessler, Bruce and Davis, Andrew. (2016). DENSITY-DEPENDENT LESLIE MATRIX MODELING FOR LOGISTIC POPULATIONS WITH STEADY-STATE DISTRIBUTION CONTROL. The Mathematical Scientist, 41 (No. 2 (December 2016)), 119-128.
The Homotopy Type of Spaces of Flat Connections for Classical Lie Groups, arxiv.org/abs/2512.15004