Teaching 2021/2022
Bachelor and master projects
I am happy to supervise theses in spectral geometry, hamiltonian mechanics, symplectic or contact geometry,
sub-Riemannian 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 Atiyah-Singer Index Theorem (2021) [link]
- *Kluitenberg, M.: Chaotic scattering in relativistic N-center 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 two-dimensional almost-Riemannian 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 almost-Riemannian geometry and the magnetic Aharonov-Bohm 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.