Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 80 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
The positive mass theorem and distance estimates in the spin setting
Simone Cecchini, Rudolf Zeidler
Let \(\mathcal{E}\) be an asymptotically Euclidean end in an otherwise arbitrary complete and connected Riemannian spin manifold \((M,g)\). We show…
Complete families of embedded high genus CMC surfaces in the 3-sphere
Lynn Heller, Sebastian Heller, Martin Traizet
For every $g \gg 1$, we show the existence of a complete and smooth family of closed constant mean curvature surfaces $f_\varphi^g,$ $ \varphi \in…
Holomorphic sl(2,C)-systems with Fuchsian monodromy (with an appendix by Takuro Mochizuki)
Indranil Biswas, Sorin Dumitrescu, Lynn Heller, Sebastian Heller
For every integer $g \,\geq\, 2$ we show the existence of a compact Riemann surface $\Sigma$ of genus $g$ such that the rank two trivial holomorphic…
Geometry of the space of sections of twistor spaces with circle action
Florian Beck, Indranil Biswas, Sebastian Heller, Markus Röser
We study the holomorphic symplectic geometry of (the smooth locus of) the space of holomorphic sections of a twistor space with rotating circle…