My main research interests in mathematics are infinite-dimensional (differential) geometry, global analysis and Lie theory. These include applications of infinite-dimensional geometry to the theory of rough paths and stochastic (partial) differential equations. Rough path theory is in itself already quite geometric and can be formulated with ease in a Banach space setting. However, then geometric, combinatorial and topological questions come into play.
I participate in the
CODYSMA project of H. Munthe-Kaas (Bergen).
In didactics of mathematics I am one of the principal investigators of the
[S]ELF-M project (with A.Julien and E. Romijn).
Furthermore I am interested in programming in mathematics education and in particular in math classrooms in Norway.
This is pursued as part of the research project
PrinT(M) (with M. Jensen, A. Julien and A. Rafiepour)
Before joining NORD, I have held positions at UiB, TU Berlin and NTNU Trondheim (for example in the EU-project
CHiPS).
I am also connected to the
CODYSMA hosted at the university of Bergen.
Almost all of my preprints are available on the arXiv preprint server: https://arxiv.org/a/schmeding_a_1.html
Some talks and presentations concerning research are available in digital format on YouTube:
https://www.youtube.com/channel/UCTIB6ykZCrpd0trFhiSETGw