My primary interests lie in mathematical logic and theoretical computer science; more specifically, I am interested in category theory and categorical logic, type theory (including homotopy type theory) and proof theory.
I also enjoy thinking about philosophy of mathematics and foundations of physics, particularly as they relate to my primary interests above.
I am a DPhil Candidate in Computer Science at Oriel College, Oxford. I am supervised by Professor Samson Abramsky and funded by an EPSRC Doctoral Training Partnership Studentship.
Before coming to Oxford, I spent two years on the other side of the Atlantic, in Pittsburgh, PA, completing an MS in Logic, Computation and Methodology at Carnegie Mellon University. My thesis, supervised by Professor Steve Awodey and Doctor Jonas Frey, involved working in dependent type theory with an impredicative universe and using ideas from homotopy type theory to refine System F style impredicative encodings of certain inductive types so that they satisfy the relevant induction principles.
Prior to this, I obtained an MSci in Physics and Philosophy with First Class Honours from the University of Bristol.
I was born in Hexham, Northumberland, but grew up in the wonderful cathedral city of Lichfield, Staffordshire.
Impredicative Encodings of Inductive Types in Homotopy Type Theory
Master's Thesis Carnegie Mellon University‚ Pittsburgh‚ USA. 2017.