# Geometry at Infinity

Priority programme of the DFG

## 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

#### Maximal metric surfaces and the Sobolev-to-Lipschitz propertyPaul 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 spacesPaul 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 spacesPaul 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…

#### Curve shortening flow on singular Riemann surfacesN. Roidos, A. Savas-Halilaj

In this paper, we study curve shortening flow on Riemann surfaces with singular metrics. It turns out that this flow is governed by a degenerate…