Welcome to SPP 2026
This is the platform of a coordinated research programme in mathematics, funded by the German Research Foundation (DFG). It comprises 79 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
Manifolds with many Rarita-Schwinger fields
Christian Baer, Rafe Mazzeo
The Rarita-Schwinger operator is the twisted Dirac operator restricted to 3/2-spinors. Rarita-Schwinger fields are solutions of this operator which…
Realisations of elliptic operators on compact manifolds with boundary
Lashi Bandara, Magnus Goffeng, Hemanth Saratchandran
This paper investigates realisations of elliptic differential operators of general order on manifolds with boundary following the approach of…
Scalar and mean curvature comparison via the Dirac operator
Simone Cecchini, Rudolf Zeidler
We use the Dirac operator technique to establish sharp distance estimates for compact spin manifolds under lower bounds on the scalar curvature in the…
Smooth convergence to the enveloping cylinder for mean curvature flow of complete graphical hypersurfaces
Wolfgang Maurer
For a mean curvature flow of complete graphical hypersurfaces M_t=graph u(⋅,t) defined over domains Ω_t, the enveloping cylinder is ∂Ω_t×R. We prove…