Bachelor and master projects topics
You can find below different ideas. Feel free to contact me, I am open to discuss alternative ideas.
 Discrete dynamical systems
 Number and spectral theory of Gauss and Farey maps
 Laws of extreme events for random dynamical systems
 Using Markov chains with constraints to optimize cloud application distribution
 Spectral theory (analytical approach)
 Modified Hofstadter butterflies in the chequerboard Harper model
 Semiclassical analysis
 Spectral theory (geometric approach)
 Quantum chaos and magnetic billiards (of finite and infinite measure)
 Spectral subRiemannian geometry and the AhronovBohm effect
 The bicycle problem in contact geometry
 Numerical methods and programming
 Design and implementation of differential
equations solvers interface in Owl, the OCaml scientific framework
 Taylor and geometric numerical solvers in OCaml
and Owl, the OCaml scientific framework, in particular
 Design and implementation of numerical root finding interface in Owl, the OCaml scientific
framework
Former students
 Daniel Boutros: Mathematical aspects of the Feynman path integral (2020) [link]
 Jochem Loedeman: The Geometry of Attractors in Inflationary Cosmology (2019) [link]
 Jonathan Pim: On Yoshida's Method For Constructing Explicit Symplectic Integrators For Separable Hamiltonian Systems (2019) [link]
 Bas de Pooter: Geodesic Flow of the Modular Surface and Continued Fractions (2019) [link]
 Rick van Voorbergen: On the extension of Lie algebras using double extensions and Lie algebra expansions (2019) [link]
 Kenzo Yasaka: Spectral almostRiemannian geometry and the magnetic AharonovBohm effect (2020) [link]
2020/2021

Analysis on Manifolds  period 1b
Project Chaos Theory (with H. Jardon)  period 1b

Hamiltonian Systems (master)  period 2a
Past
2019/2020

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

Hamiltonian Systems (master)  period 2a (Lecture Notes)
Some links are broken. They will be fixed once I rewrite and reorganize this page.
For the complete teaching experience refer to my CV.