Über mich
Ich bin Postdoc der Arbeitsgruppe Differentialgeometrie am Institut für Algebra and Geometrie des KIT. Ich habe meinen Doktor in Münster unter der Betreuung von Johannes Ebert erhalten.
Forschung
Meine Forschungsinteressen liegen in algebraischer Topologie und Differentialgeometrie. Insbesondere bin ich interessiert am Zusammenspiel von Krümmungsbedingungen (hauptsächlich positive Skalarkrümmung) und Kobordismustheorie.
Veröffentlichungen 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
Abschlussarbeiten
- Dissertation: The action of the mapping class group on spaces of metrics of positive scalar curvature, 2019.
- Masterarbeit: On the Gromov-Lawson surgery theorem, 2015.
Vorträge
- 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.
Lebenslauf
Hier ist mein akademischer Lebenslauf.