I am currently a second year mathematics PhD candidate at Durham University under the supervision of Andrew Lobb and Raphael Zentner.
My main research interests lie in low dimensional topology and symplectic geometry. Within these fields, I have recently been working on Floer homology and its application to inscription problems.
The prototypical example of an inscription problem is the Toeplitz Square Peg Problem. The following video offers a great introduction to the problem:
This open problem taught me what topology is, 3blue1brown
Prior to my PhD, I completed my master's dissertation on knot invariants obtainable from Chern-Simons theory under the supervision of Iñaki García Etxebarria.
Email: adam.j.barber[two]@durham.ac.uk