Teaching
I teach a broad range of courses in Analysis/PDEs, Differential Geometry, and Mathematical Physics right from the first year Bachelor till the end of the Master in Mathematics. Moreover, I am involved in the interdisciplinary Gravity+ Master track. In all these areas I supervise Bachelor and Master theses.
lecture notes Lecture notes
Some typed lecture notes below. Handwritten lecture notes, exercises, and further material are available to students on Brightspace.
Introduction to Riemannian Geometry
Master course · version 2024/25 · 135 pages
Introduction to Partial Differential Eqs.
3rd year Bachelor course · version 2020/21 · 96 pages
courses Courses
Since Fall 2018 I have been teaching lecture courses in Mathematics at Radboud University and earlier at other universities. All lecture courses involve exercise classes. Íf not stated otherwise the language of instruction is English.
Courses taught in 2024/25
- Reële Analyse (Analysis 1, in Dutch) · 1st year Bachelor course · Q2 & Q3
- Riemannian Geometry · Master course · Q1 & Q2
- Sabbatical in Q4 of 2024/25 & Q1 of 2025/26
Past courses
Bachelor program
- Reële Analyse (Analysis 1, in Dutch) · 1st year
- Optimization in Geometry and Physics · 2nd year
- Introduction to Fourier Theory · 2nd year
- Introduction to PDEs · 3rd year
- Riemannian Geometry · 3rd year
Master program
- Nonlinear Wave Equations
- Singularities and Black Holes
- Riemannian Geometry
- Gravity+ Club (interdisciplary seminar)
- Introduction to Mathematical Reasoning
- Introduction to Real Analysis 1 (Honors Section)
- Seminar on PDEs – Introduction to the Calculus of Variations (in German) · 2nd year Bachelor
- Selected Topics in Analysis and PDE – Mathematical General Relativity · Master/PhD
As teaching assistant (2006–2011)
- Tutorial on Differential Equations for Teachers (in German) · 2nd year
- Revision for Analysis 1 (in German) · 1st year
- Revision for Analysis 2 (in German) · 1st year
- Revision for Analysis 3 (in German) · 2nd year
supervison Supervision
If you are interested in writing a Bachelor’s or Master’s thesis under my supervision, please contact me. Possible topics could revolve around Riemannian/Lorentzian/Metric Geometry, Ordinary/Partial Differential Equations, and Mathematical General Relativity. You may also suggest a topic yourself and I will check if it is suitable. If you are a double Bachelor student (in particular, Mathematics and Physics) co-supervision with a supervisor from another department is possible.
Previously supervised theses
- Jorn van Voorthuizen · MSc 2024
"Multipole Moments in Stationary Spacetimes"
arXiv
(co-supervised with B. Bonga) - Tom Impens · Honours BSc 2024 "Conformal Transformations in pseudo-Riemannian Geometry with Applications in General Relativity"
- Tom van der Steen · BSc 2022 "Causality and the Concept of Time" (co-supervised with L. García-Heveling)
- Luc Koenen · BSc 2022 "The Brunn–Minkowski Inequality"
- Willem van Oosterhout · BSc 2019 "Birkhoff's Theorem in General Relativity"