## 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.

### Research projects for second funding period

DFG granted 46 research proposals for the second funding period of SPP 2026 (2020-2023).

## 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…

## Latest Blog posts

**Gehaltsverhandlungen als PostDoc**Gehaltsverhandlungen als PostDoc? Das gibt’s doch nur für Professoren … Das dachte ich mir zumindest bis jetzt und ging davon aus, dass man in Deutschland solange auf E13 (bzw. A13) beschäftigt wird bis man es bis zum Professor bzw. Professorin schafft. Dann aber ließ sich die Universität Münster doch überreden mich auf E14 einzustellen. Wie … Continue reading "Gehaltsverhandlungen als PostDoc"

**Seminar on soap bubbles and positive scalar curvature**Together with Rudolf Zeidler I am organizing a reading seminar this winter on generalized soap bubbles and positive scalar curvature. The goal of it is to read the corresponding preprint by Chodosh-Li (arXiv:2008.11888). The two main results we want to understand are the following: No closed aspherical manifold of dimension 4 or 5 admits a … Continue reading "Seminar on soap bubbles and positive scalar curvature"

**Nobel Prize for Sir Roger Penrose**Sir Roger Penrose won the Nobel Prize in Physics for the discovery that black hole formation is a robust prediction of the general theory of relativity. I have to admit that I connected him up to now only with aperiodic tilings of the plane (Wikipedia link). If you want to know more about him you … Continue reading "Nobel Prize for Sir Roger Penrose"