PhD thesis: unitary fermionic topological field theory

Supervised by Peter Teichner at the Max Planck Institute for Mathematics in Bonn

topological field theory unitarity spin-statistics dagger categories

Dagger categories via anti-involutions and positivity

joint with Jan Steinebrunner

Dagger n-categories

joint with Giovanni Ferrer, Brett Hungar, Theo Johnson-Freyd, Cameron Krulewski, Lukas Müller, Nivedita, David Penneys, David Reutter, Claudia Scheimbauer and Chetan Vuppulury

dagger categories topological field theory unitarity

A Higher Spin Statistics Theorem for Invertible Quantum Field Theories

joint with Cameron Krulewski and Lukas Müller

invertible field theory unitarity spin-statistics

Reflection Structures and Spin Statistics in Low Dimensions

joint with Lukas Müller

topological field theory spin-statistics unitarity

The spin-statistics theorem for topological quantum field theories

topological field theory spin-statistics unitarity