The boundary of the parallelity bundle. The setup for an annular simplification. The Farey triangulation of the hyperbolic plane.

Recorded talks

  • March 2021, Graduate Talks in Geometry and Topology (online seminar in Australia) (recording)
  • July 2021, Young Topologists Meeting (recording) (slides)

Notes and projects

  • UMAP is a new dimension reduction technique that finds a representation with similar topological properties to the original data. I wrote up a set of notes on the mathematics behind UMAP, which is mostly category theory and topology, for people who have not seen much of these before.