My research interests concentrate at the interface of theoretical and mathematical physics. Current research topics include:

Topological field theory, sigma models and Batalin-Vilkovisky quantization.

Differential geometry of algebroids and graded manifolds.

Gauge theories, higher global & local symmetries and dualities.

Topics in classical and quantum gravity.

In earlier years, I also worked on string theory compactifications, gauge theories with fuzzy (noncommutative) extra dimensions, matrix models and their applications in particle physics, cosmological applications of axions, &c.

Currently I am mainly working on the following projects.

Establishing a generalised version of the fundamental theorem of Riemannian geometry for generalised connections on Lie 2-algebroids and applying it to construct models of gravity, such as the low energy effective action for closed strings.
(Work with Chris Hull, Larisa Jonke, Sylvain Lavau and Peter Schupp.)

Studying the Atiyah class for degree 0 connections on (differential) graded manifolds.
(Work with Larisa Jonke and Dmitry Roytenberg.)

Exploring Poisson and dg-Poisson supermanifolds and the supersymmetric topological sigma models they are associated with, toward understanding their quantization.
(Work with Thomas Basile, Axel Hrelja and Sylvain Lavau.)

Developing geometric techniques in the context of adiabatic perturbation theory of classical-quantum systems
(Work with Larisa Jonke, Ryan Requist and Jan Rosseel)