Mathematician

I am a PhD student at Durham University; my supervisors are Dirk Schuetz and Andrew Lobb. 

My current project is creating and coding an algorithm that will compute the induced map of a cobordism (a surface between two links) on Khovanov Homology.

UPDATE (July 2024) this is now in the testing/debugging phase. 

Other subjects that I am interested in include:

• Other Khovanov-type homology theories, including Khovanov-Rozansky homology.

• Obstructions from knot homologies.

• Cobordisms, TQFTS and applications

• Stable homotopy types in Khovanov and Heegaard-Floer homology 

• Other invariants in quantum topology

I have also taken courses, seminars or conferences in Contact and Symplectic topology, Mapping Class Groups, Quantum Groups and Gauge Theory.

I am always interested in the interplay between topology and physics, or in applications of ideas from these fields. I recently set up a reading group for Topology and Physics PhD students on TQFTs. I previously attended the Durham Topological Data Analysis seminar, and am interested in quantum information and cryptography, particularly based on braid groups.