Homepage of Teun D.H. van Nuland.
I'm a mathematician interested in operator algebras and their applications to physics.
I'm currently a Postdoc at the University of New South Wales, Sydney.
On April 7 I obtained my PhD cum laude at Radboud University Nijmegen, supervised by Walter van Suijlekom. My PhD thesis is titled C*-algebraic Results in the Search for Quantum Gauge Fields.
After obtaining my PhD I have worked with Anna Skripka as a postdoc at the University of New Mexico and as a guest lecturer at the HAN University of Applied Sciences, before joining the group of Fedor Sukochev at UNSW.

Research

• Cyclic cocycles and one-loop corrections in the spectral action. Proceedings of Symposia in Pure Mathematics, to appear. Preprint.

• Strict deformation quantization of abelian lattice gauge fields. Letters in Mathematical Physics, 112, no. 34 (2022). Online Springer version. ArXiv version.

• One-loop corrections to the spectral action. Journal of High Energy Physics, 2022, no. 78 (2022). Together with Walter van Suijlekom. Online Springer version. Arxiv version.

• Cyclic cocycles in the spectral action. Journal of Noncommutative Geometry, available online first. Together with Walter van Suijlekom. ArXiv version..

• Spectral shift for relative Schatten class perturbations. Journal of Spectral Theory, to appear. Together with Anna Skripka. Preprint.

• Classical and quantised resolvent algebras for the cylinder. Together with Ruben Stienstra. Preprint.

• Quantization and the resolvent algebra. Journal of Functional Analysis, 277, no. 8 (2019). Postprint. (Report no: YJFAN8201, DOI: 10.1016/j.jfa.2019.02.022)

Talks

• December 10, 2021 - Online NCG day in honor of Walter van Suijlekom's appointment to full professor. Slides.

• June 25, 2021 - Leipzig University. Slides.

• December 15, 2020 - Global Noncommutative Geometry Seminar. Youtube. Slides.

• September 28, 2020 - University of New Mexico (Colloquium talk).

• August 9, 2019 - UNSW Sydney (for the workshop Noncommutative Calculus and the Spectral Action).

• May 2, 2019 - University of Tübingen. Slides.

Theses

My Master thesis is titled 'Quantization and the Resolvent Algebra'. Supervised by Klaas Landsman.

My bachelor thesis is titled 'The Perturbation Semigroup of the Noncommutative Torus'. Supervised by Walter van Suijlekom.