For everyone who is not a mathematician, the papers and talks linked elsewhere on this site are most likely gibberish. Explaining the details of my research to a general audience is not something I know how to do.
What I can do, is tell you something about some basic topics in my area of research. Because research is so highly specialized, there is a lot of maths between the boring stuff you might have learned in school and the study-5-years-to-understand-anything topics that research is typically about. In fact, these intermediate levels contain some exciting insights that aren’t too difficult to explain.
Or at least I think so… You’re probably in a better position to judge it:
- What is… a variational principle?Variational principles play fundamental role in much of mathematical physics and are a key topic in my own research. That’s a lot to cover, so let’s start with a little story. … Continue reading “What is… a variational principle?”
- What is… an integrable system?The oversimplified answer is that integrable systems are equations with a lot of structure. The kind of equations we are thinking about are differential equations, which describe change. Whenever something is … Continue reading “What is… an integrable system?”
Chalkdust is a “magazine for the mathematically curious”.
I wrote an article on Hamiltonian mechanics and Noether’s theorem for issue 15.
In the classroom
From 2016 until 2019 I led a math circle in Berlin. Math circles are extracurricular activities for secondary school students with an interest in mathematics. In Berlin they are coordinated by the MSG Leonhard Euler. The circles meet once a week during the school year to solve puzzles, tackle olympiad-style maths problems and learn about mathematical topics that aren’t usually discussed in school.