Koen van den Dungen's Home Page

From April 2018 I started a new position at the Universität Bonn; please visit my new webpage.
Postdoctoral researcher (assegno di ricerca) at SISSA in Mathematics, since 1 October 2015.

Research interests
Noncommutative geometry and unbounded KK-theory, in particular with applications to:
  • the study of Fredholm operators, spectral flow, and index theory;
  • (classical and quantum) gauge theories and Lorentzian geometry.

(See also: ORCID, SCOPUS, arXiv.)
2016: Indefinite Kasparov modules and pseudo-Riemannian manifolds (with Adam Rennie). Annales Henri Poincaré 17 (2016), 3255-3286. (doi, arXiv)
2016: Krein spectral triples and the fermionic action. Mathematical Physics, Analysis and Geometry 19:4 (2016). (doi, arXiv)
2014: On globally non-trivial almost-commutative manifolds (with Jord Boeijink). Journal of Mathematical Physics 55, 103508 (2014). (doi, arXiv)
2013: Pseudo-Riemannian spectral triples and the harmonic oscillator (with Mario Paschke and Adam Rennie). Journal of Geometry and Physics 73, 37-55 (2013). (doi, arXiv)
2013: Electrodynamics from Noncommutative Geometry (with Walter D. van Suijlekom). Journal of Noncommutative Geometry 7, 433-456 (2013). (doi , arXiv)
2012: Particle Physics from Almost-Commutative Spacetimes (with Walter D. van Suijlekom). Reviews in Mathematical Physics 24, 1230004 (2012). (doi , arXiv)

2017: Families of spectral triples and foliations of space(time). (arXiv:1711.07299)
2017: The index of generalised Dirac-Schrödinger operators. (arXiv:1710.09206)
2016: Locally bounded perturbations and (odd) unbounded KK-theory. (arXiv:1608.02506)

2015: Lorentzian geometry and physics in Kasparov's theory (link), Ph.D. thesis in Mathematical Sciences, The Australian National University (supervisor: Adam Rennie).
2011: The Structure of Gauge Theories in Almost Commutative Geometries (link), Master's thesis in Physics & Astronomy, Radboud University Nijmegen (supervisor: Walter D. van Suijlekom).

Contact: kdungen@sissa.it