Our people

Very broadly, I'm interested in problems with a combinatorial flavour at the intersection of combinatorics, geometry/topology, and mathematical physics. Currently, this has led me into the world of invariant differential forms related to arithmetic groups and symmetric spaces; of graph complexes related to deformation theory, manifold invariants and (tropical) moduli spaces; and of Feynman integrals and periods arising in various aspects of quantum field theory. I have also thought about more combinatorial/graph-theoretic aspects of QFT and scattering amplitudes. A theme of my research programme is to explore the rich interplay and connections between these topics (and many more).