About me

I am a Postdoc in the differential geometry group at the Institute for Algebra and Geometry of the KIT. I obtained my PhD in Münster under the supervision of Johannes Ebert.

Research

My research interest lies in algebraic topology and differential geometry. In particular I am interested in the interplay of curvature conditions (mostly positive scalar curvature) and cobordism theory.

Publications and Preprints

• Georg Frenck, Jens Reinhold: “Spaces of metrics of positive Ricci curvature and bundles with non-multiplicative A-hat-genus”, 2020; arXiv:2010.04588, Int. Math. Res. Not., to appear, 2020.
• Georg Frenck, Fernando Galaz-Garcia, Philipp Reiser: “Cohomogeneity One Manifolds and Homogeneous Spaces of Positive Scalar Curvature”, 2020; arXiv:2009.13142.
• Georg Frenck: “H-Space structures on spaces of metrics of positive scalar curvature”, 2020; arXiv:2004.01033.
• Georg Frenck: “The action of the mapping class group on metrics of positive scalar curvature”, 2019; arXiv:1912.08613.
• Johannes Ebert, Georg Frenck: “The Gromov-Lawson-Chernysh surgery theorem”, 2018; arXiv:1807.06311, Bol. Soc. Mat. Mex. (3), to appear, 2020.

Theses

• PhD-Thesis: The action of the mapping class group on spaces of metrics of positive scalar curvature, 2019.
• Master's Thesis: On the Gromov-Lawson surgery theorem, 2015.

Talks

• 2020 Geometry and Topology Seminar, Durham University: The space of positive Ricci curvature metrics, available on Youtube.
• 2020 Topology/Geometry Zoom Seminar, University of Oregon: The space of positive Ricci curvature metrics.
• 2020 Spaces and moduli spaces of Riemannian metrics with curvature bounds - A-Fri-Ka: H-Space multiplications on metrics of positive scalar curvature.
• 2019 Department of Mathematics & Statistics Colloquium, Maynooth University: The action of Diff(M) on metrics of positive scalar curvature.
• 2019 Oberseminar Differentialgeometrie, Universität Augsburg: The action of Diff(M) on metrics of positive scalar curvature.
• 2019 Oberseminar AG Differentialgeometrie, KIT: The action of Diff(M) on metrics of positive scalar curvature.
• 2019 Oberseminar Topologie, Georg-August-Universität Göttingen: The action of Diff(M) on metrics of positive scalar curvature.
• 2019 Research Seminar on Topology, University of Fribourg: The action of Diff(M) on metrics of positive scalar curvature.
• 2018 Young Topologist's meeting: Topology and Positive Scalar Curvature.
• 2016 Surgery and Geometry (16w2689): Surgery and Positive Scalar Curvature.

Slides

The action of the Diff(M) on metrics of positive scalar curvature, from my colloquium talk in Maynooth (2019).

H-Space structures on metrics of positive scalar curvature, from my OberZOOMinar talk in Göttingen (2020).

CV

You may find my academic CV here.

Contact

You can contact me via math(at)frenck.net.