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 SYM4 in the AdS/CFT correspondence (Supervisor: Gleb Arutyunov)
  BSc. Thesis: Cartesian closed subcategories of Top (Supervisor: Jaap van Oosten)