Teaching 2021/2022
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
 Boutros D.: Mathematical aspects of the Feynman path integral (2020) [link]
 Brongers, B.: An Exploration of Gauge Theory and the AtiyahSinger Index Theorem (2021) [link]
 *Kluitenberg, M.: Chaotic scattering in relativistic Ncenter problems (2021) [link]
 Levi, N.: Numerical integration of ODEs with automatic differentiation (2021) [link]
 Loedeman J.: The Geometry of Attractors in Inflationary Cosmology (2019) [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]
 Rotariu, V.: Bohmian insights into mathematical scattering theory (2021) [link]
 van Voorbergen, R.: On the extension of Lie algebras using double extensions and Lie algebra
expansions (2019) [link]
 Yasaka, K.: Spectral almostRiemannian geometry and the magnetic AharonovBohm effect (2020) [link]
 Zanuttini, A.: An application of the Knauf criteria to determine the existence of abrupt bifurcations to
chaos in planar scattering systems (2021) [link]
Note: asterisks denote Master projects.
Past teaching
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)
Previous years, excluding the PhD

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

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

Geometry  period 2b

Introduction to C++ (Reading, enhancement week)  2015/2016
Lecture Notes

Introduction to Python (Reading, enhancement week)  2015/2016
Interactive Lecture Notes

Spectral Theory (MATHM111)  2014/2015
Linear
Operators
and Their Spectra and the 2012
online
supplement (both freely accessible from Prof. E. B. Davies homepage)

Mathematics for Science 1 (MATH6105)  2013/2014
Some links are broken. They will be fixed once I rewrite and reorganize this page.