Owen Gwilliam

I am an assistant professor in mathematics at the University of Massachusetts, Amherst. In summer 2018 I finished four years as a postdoctoral fellow at the Max Planck Institute for Mathematics in Bonn. Before that, I was an NSF postdoc at UC Berkeley following graduate school at Northwestern.


My research revolves around quantum field theory, focusing both on applications of homotopical ideas to QFT itself and applications of QFT to geometry and representation theory. My books and papers are described below.

There are several other projects at various stages of development. If you'd like to know more, feel free to contact me.

Notes and videos


With Claudia Scheimbauer, I taught a course on derived deformation theory and Koszul duality at the University of Bonn in 2016. Here is our website.

I've also been lucky to be an organizer of several conferences (at MPIM, the Simons Center, Banff, IBS-CGP, and Oberwolfach).

The summer school that Chris Elliott, Matteo Lotito, Brian Williams, and I were organizing for August 2020 was postponed due to the pandemic. We hope to run it in summer 2021, as we had an awesome lineup of speakers. In the meanwhile, we're trying our hand at making masterclasses.