I work on a broad range of topics in pure and applied mathematics, theoretical physics and computer science.
Currently, my main projects are concerned with developing a new foundation for probability theory and statistics based on category theory (see in particular arXiv:1908.07021) as well as the development of new algebraic tools and results for application to classical and quantum information theory in the context of resource theories (see in particular arXiv:2003.13835). I also have two ongoing projects on the mathematical structure of spacetime and field theory.