Research interests
I am interested in quantum spin systems and their applications to quantum information theory, with a focus on the use of functional analysis and operator algebraic techniques. I primarily study of quantum spin systems with topological order, and how one can obtain a full understanding of the (quasi)particle excitations of such systems. The properties of these excitations can be described by tensor categories, and a substantial part of my work is related to how one can obtain this tensor category by studying certain representations of the C^{*}-algebra of quasi-local observables. An important question we have been working on recently is how stable this structure is with respect to perturbations of the underlying dynamics defining the system, which also is relevant in the classification of topological phases. I have also been working on applying some operator-algebraic techniques to study quantum information.
Academic background
Nov 2018 – | Postdoc, Universidad Complutense de Madrid |
In the group of David Pérez García | |
Sept 2015 – Oct 2018 | Postdoc, UC Davis & RWTH Aachen |
With Bruno Nachtergaele and Barbara Terhal | |
(Marie Curie Individual Fellowship) | |
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) |