I am a doctoral student in pure mathematics at the University of Hamburg, Germany. My PhD advisers are Nathan Bowler (University of Hamburg) and Jean-Simon Pacaud Lemay (Macquarie University, Sydney).
My research focuses on low-dimensional higher category theory and its interactions with other areas of mathematics and theoretical computer science.
I am particularly interested in:
Two-dimensional category theory
Weak and virtual double categories
Formal category theory
Enriched and locally graded categories
Monoidal structures
Monads and relative monads
Connections with homotopy theory, structural graph theory, and theoretical computer science
Coend calculus in compact closed virtual equipments, joint with Nathanael Arkor
Mixed distributive laws for relative monads and comonads, joint with Jean-Simon Pacaud Lemay
Para and Optics constructions for locally graded categories
Homotopy theory of graph-like structures, joint with Laura Scull