I am interested in the Foundations of Physics, in particular the structures involved, with a strong structural bias towards Logic, Order and Category Theory, and their applications I am particularly obsessed with alternatives to symbolic reasoning, mostly pictures. I am also active on compositional distributional models of natural language meaning and I am even migrating in the direction of understanding our brain. Some popular writings on my work are The quantum linguist and Quantum mechanical words and mathematical organisms. Older work includes information domains, dynamic epistemic logic, and even longer ago, contextual hidden variable models and quantum logic. I currently have 20 PhD students, and here are some past MSc and DPhil theses from the group. I lead a multidisciplinary research group, the Quantum Group, which now has 50 plus members.
I am the Chief Scientist of Cambridge Quantum .