Staff profile

I am a third year PhD student in low-dimensional topology.I am interested in Khovanov homology and other knot homologies arising from categorification of quantum invariants of knots. I am also interested in how we can use these invariants to infer information about knots, but also about surfaces in 4-manifolds. Most recently, this has involved work on developing and coding an algorithm to calculate induced maps on Khovanov homology.Previously, I completed a BSc in Mathematics at Imperial, writing a thesis on spin geometry. I then completed a MASt in Pure Mathematics at Cambridge.

Supervisors

Dirk Schuetz & Andrew Lobb

• Khovanov Homologies
• Low-dimensional topology
• Algorithms in topology
• Quantum invariants of knots

Journal Article

• Daura Serrano, J., Kohn, M., & Lawn, M.-A. (2022). G-invariant spin structures on spheres. Annals of Global Analysis and Geometry, 62(2), 437-455. https://doi.org/10.1007/s10455-022-09855-z