Preprints
- A topologically Enriched Probability Monad on the Cartesian Closed Category of CGWH Spaces – with Benedikt Peterseim
- How an action that stabilizes a bundle gerbe gives rise to a Lie group
extension – with Bas Janssens - A Fermionic Grunsky operator – with Eric Schippers and Wolfgang Staubach
- The stringor bundle – with Matthias Ludewig and Konrad Waldorf
- A representation of the string 2-group – with Matthias Ludewig and Konrad Waldorf
- The insidious bicategory of algebra bundles – with Matthias Ludewig and Konrad Waldorf
- 2-vector bundles – with Matthias Ludewig and Konrad Waldorf
Publications
- Connes fusion of spinors on loop space – with Konrad Waldorf, to appear in Compositio Mathematica
- Smooth Fock bundles, and spinor bundles on loop space – with Konrad Waldorf, to appear in Journal of Differential Geometry
- Fusion of implementers for spinors on the circle – with Konrad Waldorf, published in Advances in Mathematics
- Quantum Brownian motion in a Landau level – with Emilio Cobanera and Cristiane de Morais Smith
Book Chapter
- Grassmannians of Lagrangian Polarizations – with Eric Schippers, Surveys in Geometry II, Springer
Dissertation
- The spinor bundle on loop space and its fusion product – Doctoral dissertation. Defended on January 20th 2020.
- Slides from my defense.
Other material
- Some notes about the relationship between the Clifford algebra and the CAR algebra.
- I gave a talk in the Quantum Mathematics session of the 2021 CMS Summer meeting about Clifford algebras and the free fermion, you can find the recording here.
- Notes I wrote for a seminar talk about the free fermion conformal net.
- I gave a talk in the PIMS postdoctoral fellow seminar, you can find the recording here. Additionally, you can find the visual aid that I used here.
- Slides for a talk I gave at the differential geometry seminar of the university of Adelaide.
- Poster I presented in Barranquilla, Colombia at the Humboldt Kolleg.
- Brownian motion and topological field theories – Master thesis
