Georg Frenck

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.

Teaching

I am currently the teaching assistent for the lecture Elementare Geometrie.

Last semester, I was coorganizing the Topology group's PhD-seminar.

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: “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: “The Gromov-Lawson-Chernysh surgery theorem”, 2018; arXiv:1807.06311.

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 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

math(at)frenck.net