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.
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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...
Moduli space of nonnegatively curved metrics on manifolds of dimension $4k+1$
Anand Dessai
In each dimension $4k+1\geq 9$, we exhibit infinite families of closed manifolds with fundamental group $\mathbb Z_2$ for which the moduli space of...
Space of minimal discs and its compactification
Paul Creutz
We investigate the class of geodesic metric discs satisfying a uniform quadratic isoperimetric inequality and uniform bounds on the length of the...
$\ell^2$ Betti numbers and coherence of random groups
Dawid Kielak, Robert Kropholler, and Gareth Wilkes
We study $\ell^2$ Betti numbers, coherence, and virtual fibring of random groups in the few-relator model. In particular, random groups with negative...