I am a researcher in applied category theory. I have used categories to study quantum theory and more general theories of physical processes, including:
I am also interested in pure category theory. More recently I have been studying categorical approaches to natural language processing, cognition and consciousness.
DPhil Computer Science, 2018
University of Oxford
MMath Mathematics, 2013
University of Cambridge
I took the MMath in Mathematics at the University of Cambridge before completing a DPhil in the Quantum Group of the Computer Science Department at the University of Oxford, supervised by Bob Coecke and Chris Heunen. My thesis was titled Categorical Operational Physics.
From 2018 to 2019 I held postdoctoral positions in the Oxford Quantum group and the School of Informatics at the University of Edinburgh.
Since December 2019 I have been a researcher in the Oxford branch of Cambridge Quantum Computing.
Monoidal Categories for Formal Concept Analysis. SEMSPACE 2020. 07/08/20. Video.
Integrated Information in Process Theories. SEMSPACE 2020. 07/08/20. Video.
Generalised Integrated Information Theories. Models of Consciousness Conference, Mathematical Institute, University of Oxford. 09/09/19. Video.
Deriving Dagger Compactness. Quantum Physics and Logic Conference, Chapman University California, 14/06/19.
Superpositions and Categorical Quantum Reconstructions. Symposium on Compositional Structures, University of Strathclyde, Glasgow, 17/12/18.
A Categorical Reconstruction of Quantum Theory. Quantum Physics and Logic XV Conference, Dalhousie University, 07/06/18. 6th World Congress of Universal Logic, Vichy, 23/06/18.
Two Roads to Classicality. Quantum Physics and Logic XIV Conference, Radboud University Nijmegen, 05/07/17. Video.
Operational Theories of Physics as Categories. Foundations of Physics 2016 Conference, London School of Economics, 18/07/16.
Operational physics, logic and categories. Categories, Logic and Physics Workshop, University of Edinburgh, 14/04/16. Video.
A new perspective on internal groupoids and crossed modules. UCL-ULB-VUB Category Theory Seminar, Free University Brussels, 25/01/16.
Categories of relations as models of quantum theory. Quantum Physics and Logic XII Conference, University of Oxford, 17/07/15. Video.