Dr. Koen van den Dungen
- NSeaG2023
- I am currently organising the NSeaG2023 meeting, which will take place at the Hausdorff Center for Mathematics (HCM) in Bonn in May 2023. It is part of the series NSeaG — Noncommutative Geometry along the North Sea — and consists of:
- a Hausdorff School on "Noncommutative Geometry and Operator Algebras", 2-5 May (Website);
- the NSeaG2023 Workshop, 8-12 May (Website).
- 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.
- Current Teaching
- Summer semester 2023:
- Lecture course V5B8 'Selected Topics in Analysis': Noncommutative Spaces.
Overview
Please register to the eCampus course with the password 'NC-Spaces'. - Assistent V3B3/F4B1 Global Analysis
- Lecture course V5B8 'Selected Topics in Analysis': Noncommutative Spaces.
- Wintersemester 2022-23:
- Graduate Seminar on Global Analysis: K-theory of C*-algebras.
Overview
- Graduate Seminar on Global Analysis: K-theory of C*-algebras.
- See also my Past Teaching.
- Publications
- (See also: ORCID, SCOPUS, arXiv, Google Scholar.)
- 2023: The intersection of complemented submodules is not complemented. Addendum to: "The Friedrichs angle and alternating projections in Hilbert C*-modules" [J. Math. Anal. Appl. 516 (2022) 126474] (with Bram Mesland and Adam Rennie). Journal of Mathematical Analysis and Applications 522 (2023), 127002. (doi, arXiv)
- 2022: Localisations of half-closed modules and the unbounded Kasparov product. International Mathematics Research Notices, published online. (doi, arXiv)
- 2022: The Kasparov product on submersions of open manifolds. Journal of Topology and Analysis 14 (2022), 147-181. (doi, arXiv)
- 2021: The APS-index and the spectral flow (with Lennart Ronge). Operators and Matrices 15 (2021), 1393-1416. (doi, arXiv)
- 2020: Homotopy equivalence in unbounded KK-theory (with Bram Mesland). Annals of K-theory 5 (2020), 501-537. (doi, arXiv)
- 2019: The index of generalised Dirac-Schrödinger operators. Journal of Spectral Theory 9 (2019), 1459-1506. (doi, arXiv)
- 2019: Addendum to: Indefinite Kasparov modules and pseudo-Riemannian manifolds. Annales Henri Poincaré 20 (2019), 3007-3017. (doi, arXiv)
- 2019: A perspective from (unbounded) KK-theory. Appendix to: The spectral flow of a family of Toeplitz operators (by Maxim Braverman). Letters in Mathematical Physics 109 (2019), 2271-2289. (doi, arXiv)
- 2018: Locally bounded perturbations and (odd) unbounded KK-theory. Journal of Noncommutative Geometry 12 (2018), 1445-1467. (doi, arXiv)
- 2018: Families of spectral triples and foliations of space(time). Journal of Mathematical Physics 59 (2018), 063507. (doi, 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)
- Theses
- 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@uni-bonn.de
Office: Room 1.032, Mathematical Institute (Endenicher Allee 60)
News
Prof. Catharina Stroppel joined the North Rhine-Westphalia Academy for Sciences and Arts
Hirzebruch lecture by Rahul Pandharipande on Monday, May 15, 2023
Lucas Mann recevices the Hausdorff memorial award 2021/22
Bachelor Prize 2021/22 of the BMG awarded
Prof. Daniel Huybrechts receives the Compositio Prize for the periode 2017-2019
Prof. Catharina Stroppel receives Gottfried Wilhelm Leibniz Prize 2023
Rajula Srivastava receives Association for Women in Mathematics Dissertation Prize
Prof. Ana Caraiani wins a New Horizons in Mathematics Prizes 2023
Pius XI Medal awarded to Professor Peter Scholze
Prof. Valentin Blomer und Prof. Georg Oberdieck erhalten ERC grants
Grants for Mathematics students from Ukraine
Prof. Jessica Fintzen is awarded a Whitehead Prize of the London Mathematical Society
Prof. Peter Scholze elected as Foreign Member of the Royal Society
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant