Teaching 2023/2024

Spectral Theory (master)  period 1b

Analysis on Manifolds  period 1b (Lecture Notes)

Student colloquium  period 2b
Bachelor and master projects
I am happy to supervise theses in spectral geometry, hamiltonian mechanics, symplectic or contact geometry,
subRiemannian geometry, semiclassical analysis, geometric integration, ergodic theory and mathematical
billiards.
Feel free to contact me, I am open to discuss possible ideas also outside those subjects.
Former students at RUG
Mathematics
 Brongers, B.: An Exploration of Gauge Theory and the AtiyahSinger Index Theorem (2021) [link]
 Jagoe Brown, M.: Why is it so messy to eat a millefeuilles? (2022) [link]
 *Koster, O.: An exploration of subRiemannian orbifolds (2023) [link]
 Krijgsheld, H.: Travelling through subRiemannian spaces: the ChowRashevskii theorem and subRiemannian geodesics (2022) [link]
 Levi, N.: Numerical integration of ODEs with automatic differentiation (2021) [link]
 Pim J.: On Yoshida's Method For Constructing Explicit Symplectic Integrators For Separable
Hamiltonian Systems (2019) [link]
 de Pooter, B.: Geodesic Flow of the Modular Surface and Continued Fractions (2019) [link]
 de Ridder, L.: The Ricci flow on twodimensional almostRiemannian manifolds (2021) [link]
 Schipper, F.: A mathematical study of crochet (2022) [link]
 *Silvans A.: Complex Dynamics of Magnetic Billiards in a 2Torus (2023) [link]
 Voronine, F.: AubryMather Theory through Optimal Transportation (2023) [link]
 Xu, H.: The development and proof of GaussBonnetChern theorem (2022) [link]
 Zanuttini, A.: An application of the Knauf criteria to determine the existence of abrupt bifurcations to
chaos in planar scattering systems (2021) [link]
Double Degree
 Anyszka W.: The Kepler Problem and Its Relation to Extremal Black Holes (2023) [link]
 Boutros D.: Mathematical aspects of the Feynman path integral (2020) [link]
 *Kluitenberg, M.: Chaotic scattering in relativistic Ncenter problems (2021) [link]
 Loedeman J.: The Geometry of Attractors in Inflationary Cosmology (2019) [link]
 Rodenburg, R.: Black Hole Inspirals and the Role of Isotropic Scattering (2022) [link]
 Rotariu, V.: Bohmian insights into mathematical scattering theory (2021) [link]
 Tollington, E.: A gauge theory of shallow water (2023) [link]
 van Voorbergen, R.: On the extension of Lie algebras using double extensions and Lie algebra
expansions (2019) [link]
 van Wijk, R.: Dynamical Similarities on FLRW Cosmology (2023) [link]
 Yasaka, K.: Spectral almostRiemannian geometry and the magnetic AharonovBohm effect (2020) [link]
Note: asterisks denote Master projects.
Past teaching
2022/2023
2021/2022
2020/2021
2019/2020

Calculus for Chemistry  period 1a
Partial differential equations (with A. Waters)  period 1a  (Simulations)

Hamiltonian Mechanics (master)  period 2a (Lecture Notes)
2018/2019

Linear algebra and multivariable calculus for Chemistry (with P. Kilicer)  period 1b

Partial differential equations (with A. Waters)  period 1b

Geometry  period 2b
Previous years, excluding the PhD
Some links are broken. They will be fixed once I rewrite and reorganize this page.