Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 33 research projects in the fields of differential geometry, geometric topology, and global analysis. More than 80 researchers from doctoral to professorial level and based at more than 20 German and Swiss universities are represented in this programme.
Latest publications
Plateau's problem for singular curves
Paul Creutz
We give a solution of Plateau's problem for singular curves possibly having self-intersections. The proof is based on the solution of Plateau's…
Maximal metric surfaces and the Sobolev-to-Lipschitz property
Paul Creutz and Elefterios Soultanis
We find maximal representatives within equivalence classes of metric spheres. For Ahlfors regular spheres these are uniquely characterized by…
The Plateau-Douglas problem for singular configurations and in general metric spaces
Paul Creutz and Martin Fitzi
Assume you are given a finite configuration $\Gamma$ of disjoint rectifiable Jordan curves in $\mathbb{R}^n$. The Plateau-Douglas problem asks whether…
The branch set of minimal disks in metric spaces
Paul Creutz and Matthew Romney
We study the structure of the branch set of solutions to Plateau's problem in metric spaces satisfying a quadratic isoperimetric inequality. In our…