Research interests
I am interested in the mathematical intricacies of topologically ordered systems. In particular, I try to use the tools and techniques of operator algebra, algebraic quantum field theory and tensor categories in this setting. For example, one can study the properties of the excitations of such systems by mimicking the Doplicher-Haag-Roberts theory of superselection sectors, a toolkit in algebraic quantum field theory, in the setting of topologically ordered spin systems. It turns out that this works very well: one can recover for example all excitations and their fusion rules and statistics for the toric code in this setting. This algebraic approach also appears to be very fruitful to study, e.g., the classification of topological phases
Academic background
Sept 2015 – Aug 2018 | Postdoc, UC Davis & RWTH Aachen |
With Bruno Nachtergaele and Barbara Terhal | |
(Marie Curie fellow) | |
Apr 2012 – Aug 2015 | Postdoc, Leibniz University Hannover |
With Tobias Osborne and Reinhard Werner | |
(Two years as Rubicon fellow) | |
Oct 2007 – May 2012 | PhD, Rabdboud University Nijmegen |
Supervisors: Michael Müger and Klaas Landsman | |
Thesis: Anyons in infinite quantum systems: QFT in d=2+1 and the toric code | |
Sept 2001 – Aug 2007 | BSc. and MSc. Mathematics & Physics, Utrecht University |
MSc. Thesis: Four-point functions of N=4 SYM_{4} in the AdS/CFT correspondence (Supervisor: Gleb Arutyunov) | |
BSc. Thesis: Cartesian closed subcategories of Top (Supervisor: Jaap van Oosten) |