Providing insights into recent scientific progress
Our institute represents a great variety of research topics that affect current developments both within the natural sciences as well as social and economic life. In our column Research Briefs MiS scientists are sharing key ideas and giving insights into recent developments of their research.
Our latest Research Brief from the group of Jürgen Jost explores links between algebra and geometry. They discuss connections between Jordan algebras and Lie groups and investigate symmetries in algebraic structures.
A new research brief was just published by Lukas Koch, who is a scientist in the Otto group and works on regularity questions in the Calculus of Variations and nonlinear PDEs. The topic is optimal transport, or the problem of finding the most efficient way to distribute materials, and its connection to harmonic approximation.
Lukas Kühne, who works in the Sturmfels group on hyperplane arrangements, matroids and tropical geometry has just published a new research brief. This brief deals with a problem from computational mathematics, the problem of scanning (ﬁnite but) large sets of certain objects.
Tobias Ried and Pavlos Tsatsoulis, who work in the Otto group on stochastic quantisation and singular SPDEs among other things have just published a new research brief on the magnetization ripple. They describe the basics of the micromagnetic model and explain the mathematics of the 'universality' in the structural pattern.