This page is under construction.
Here is some of my writing, ordered from most least recent.
- (In progress) An operator on bordered Khovanov homology induced by 2-cabling. We use Bar-Natan's planar algebra formalism to construct an operator on type D structures over the Bar-Natan algebra induced by 2-cabling. This operator is concrete and computable, and the resulting functor on the Fukaya category of the 4-punctured sphere is somewhat interesting, in that its behaviour differs from a similar functor constructed by Hanselman and Watson.
- A remark on the Lewark-Zibrowius invariant. We prove a conjecture of Lewark-Zibrowius by considering s-invariants of links.
- Thinking of (1,1) knots using
elastic bands on peg-boards and combed glazing on the mille-feuille. MSc thesis, 2020.
The first half aims to be a readable introduction to Heegaard Floer theory.
The second half is an attempt to get a handle on the combinatorics of bigons in genus 1 Heegaard diagrams.
- From Seifert Fibrations to Geometry, 2018.
Essay written around December 2018 to answer the simple question: how does a Seifert fibration induce
a geometry on a 3-manifold. Sketchy in parts, read at your own risk!
- A Study of the Dirac Monopole. BSc final project, 2017.
Here you will find an explicit computation of a pullback of the natural connection on the Hopf fibration
to the sphere. It turns out to be a magnet.