Teaching 2021/2022

• Analysis on Manifolds - period 1b (Lecture Notes)
• Hamiltonian Mechanics (master) - period 2a (Lecture Notes and more)

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

• Micro-course on spectral sub-Riemannian geometry (for Master and PhD students): part 1, part 2. Slides available from the DDTG web page (beware, 99Mb). For more courses, keep an eye on the Dutch Differential Topology and Geometry seminar.
• Analysis on Manifolds - period 1b (Lecture Notes)
  Project Chaos Theory (with H. Jardon) - period 1b - (Simulations)
• Hamiltonian Mechanics (master) - period 2a - (Lecture Notes and more)

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.