Oskar Riedler
Institut of Mathematics, Universität Potsdam,
Email: oskar.riedler@uni-potsdam.de
I am a postdoc in differential geometry at the University of Potsdam, in the working group of Rudolf Zeidler. Previously I completed my PhD at the University of Münster under the supervision of Anna Siffert. I am broadly interested in topics adjacent to rigidity phenomena, harmonic maps, geometric flows, and eigenvalue problems.
The main thread of my current research is related to comparison theorems and rigidity statements from lower scalar curvature bounds. Dirac operator techniques are one of the most successful tools in this area. Here global topological information (index theorems) yields analytic objects (harmonic spinors), which interact in a highly non-trivial algebraic way ( using Clifford algebras) with the geometric properties (curvature) of the considered setting.
Scalar-rigid submersions are Riemannian products - with Thomas Tony. (arxiv)
(λ, λ)-eigenfunctions on compact manifolds - with Thomas Jack Munn. (arxiv)
Polynomial harmonic morphisms and eigenfamilies on spheres. Mathematische Zeitschrift 311, 56 (2025) (link, arxiv)
Global eigenfamilies on closed manifolds. Journal of the London Mathematical Society 112, Issue 2 (2025) - with Anna Siffert. (link, arxiv)
Closed embedded self-shrinkers of mean curvature flow. The Journal of Geometric Analysis 33, no. 6 (2023): 172. (link, arxiv)