Research

My current research interests are:

  • Noncommutative geometry and quantum gauge fields
  • Noncommutative geometry and quantum gravity
  • Unbounded KK-theory: factorization of Dirac operators

Visitors

  • Adam Rennie (Australian National University), July 2012
  • Koen van den Dungen (Australian National University), July 2012
  • Simon Brain (University of Luxembourg), June-December 2010
  • Michael Borinsky (Humboldt Universat zu Berlin), November 2013-January 2014
  • Matthias Sars (Humboldt Universat zu Berlin), March 2014
  • Agostino Devastato (University of Napels), April-June 2014
  • Iain Forsyth (Australian National University), June-December 2014
  • Adam Rennie (Wollongong University), November 2015
  • John Barrett (Nottingham University), January 2016
  • Mairi Sakellariadou (King’s College), April 2016
  • Koen van den Dungen (SISSA, Trieste), November-December 2017
  • Ali Chamseddine (American University of Beireut), July-August 2018

Postdoctoral fellows

  • Simon Brain, December 2013-November 2016
  • Jord Boeijink, October-December 2014
  • Jens Kaad, January 2015-January 2016
  • Francesca Arici, October 2015-October 2018
  • Tyrone Crisp, January 2017-August 2018

Ph.D. Students

Master Students

Bachelor Students


Academic Background

From 1996 to 2001, I studied Theoretical Physics at the University of Amsterdam. My master’s thesis “Noncommutative geometry, deformation quantization and string theory” [pdf] was written under supervision of drs. G.G.A. Bauerle.

From September 2001 to August 2002, I followed a Program on Mathematical Physics at the Mathematics department of the University of Amsterdam. It consisted of the courses integration theory, analysis on manifolds, differential geometry and K-theory of C*-algebras. Besides these courses, I wrote a paper titled “The noncommutative cylinder and its K-theory” [pdf] under supervision of prof. dr. N.P. Landsman.

In September and October 2002, I was a guest-researcher at the Korteweg-de Vries Institute for Mathematics of the University of Amsterdam. My supervisor was prof. dr. N.P. Landsman and this position is part of the Pionier Project: “Quantization, noncommutative geometry and symmetry”. The research continued on the subjects of my physics thesis and mathematics paper and resulted in an article entitled “The noncommutative Lorentzian cylinder as an isospectral deformation”.

From November 2002 until November 2005, I was a PhD-student at the Mathematical Physics sector of SISSA in Trieste, Italy. My supervisors were Prof. Dabrowski (SISSA) and Prof. Landi(Universita’ di Trieste). The resulting PhD thesis: “Geometry of Noncommutative Spheres and their Symmetries”

From November 2005 until December 2006, I was a postdoc at the Max Planck Institute for Mathematics in Bonn where I worked on quantum gauge theories in the setting of the Connes-Kreimer Hopf algebra of Feynman graphs.

From January 2007-2009 I worked as a postdoc at the Institute for Mathematics, Astrophysics and Particle Physics at the Radboud University Nijmegen working in the group of prof. dr. N.P. Landsman.

From 2009-2011 I have worked on VENI-project “Noncommutative geometry of quantum gauge fields” and from 2012-2015 I was Assistant Professor at Radboud University Nijmegen.

In 2013 I have started my VIDI-project “Noncommutative geometry and quantum lattice gauge fields” and since 2015 I am Associate Professor at Radboud University Nijmegen.


Editorial work

Editor of Mathematical Physics, Analysis and Geometry