Research

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.

Funding

I have been awarded the following grants:

• Marie Curie Individual Fellowship Operator Algebraic Approach to Topological Phases (2015-18)
• NWO Rubicon Mathematical structure of anyons in planar quantum spin systems (2012-14)

I have also been a team member on the following projects:

• GAPS, ERC Consolidator Grant, PI David Pérez García (2018-19)
• QFTCMPS, ERC Starting Grant, PI Tobias J. Osborne (2012,2014-15)

Academic background