My diploma thesis explores the complexity of a certain equivalence on forms. I improved the bound of the decision problem of this equivalence from exponential runtime to non-deterministic polynomial time. A short description can be found in the introduction:
The “Landesverband Mathematikwettbewerbe NRW e.V.” hosts three academies per year tailored towards high-school students. These academies have the mission to support pariticpants of the “Mathe-Olympiade” and to create a platform for math enthusiasts in general. Since 2008, I work in an honorary capacity, giving talks as well as supporting with IT consulting. A few of the talks have a handout or script:
The “Bonner Matheclub” is a meeting place for students of secondary schools to meet each other as well as university students to do math together. While some playfully work on mathematical problems, others train for math competitions like the “Mathematik-Olympiade”. Participation is free of charge and there are. Details can be found on the website of the Matheclub.
I wrote a script for a seminar I gave to German high school teachers in 2018. If you are not able to read German, feel free to reach out. The biggest take away probably is that I — barring any claim for scientific soundness — identified the following four sources of motivation for Mathematics:
Every student and mathematician may draw motivation from all of them and everybody weights the importants of the different sources differently. The script drills down on each of these concepts and tries to enrich each with applications and approaches in the context of high school classes.