Prof. Dr. Klaus Kröncke

I am an assistant professor in Mathematics at Universität Hamburg. Before I moved to Hamburg, I was a postdoc at the University of Regensburg. I obtained my PhD degree in Mathematics at the University of Potsdam under the supervision of Prof. Dr. Christian Bär, funded by the Max Planck Institute for Gravitational Physics. Previously, I did my diploma studies in Mathematics at the University of Vienna.

In summer term 2020 and winter term 2020/21, I was a visiting professor at the University of Tübingen.

My research interests revolve around differential geometry, geometric analysis, partial differential equations and general relativity. More precisely, I am interested in special geometric structures (Einstein metrics and Ricci solitons), their stability and the structure of their moduli spaces. Moreover, I am interested in geometric flows (in particular Ricci flow) and nonlinear stability problems in general relativity.

Wave equations and Fourier integral operators on models of an expanding universe

• Winter school, Konstanz, January 15–17, 2020
• Organizers: Klaus Kröncke (Hamburg), Jan Metzger (Potsdam), Oliver Lindblad Petersen (Hamburg)

10th Northern German Differential Geometry Day

• Hamburg, June 21, 2019
• Organizers: Roger Bielawski, Lynn Heller and Knut Smoczyk (Hannover), Vicente Cortés and Klaus Kröncke (Hamburg), Jens Heber and Hartmut Weiß (Kiel)

Ricci flow, mean curvature flow and related singular flows

• Workshop, Hamburg, September 3–6, 2018
• Organizers: Klaus Kröncke (Hamburg), Oliver Schnürer (Konstanz), Miles Simon (Magdeburg) and Boris Vertman (Oldenburg)

9th Northern German Differential Geometry Day

• Kiel, June 8, 2018
• Organizers: Roger Bielawski, Lynn Heller and Knut Smoczyk (Hannover), Vicente Cortés and Klaus Kröncke (Hamburg), Jens Heber and Hartmut Weiß (Kiel)

Field equations on Lorentzian space-times

• Workshop, Hamburg, March 19–23, 2018
• Organizers: Vicente Cortés, Sari Ghanem and Klaus Kröncke (Hamburg)

Geometric evolution equations

• Winter school, Konstanz, February 5–9, 2018
• Organizers: Klaus Kröncke (Hamburg), Oliver Schnürer (Konstanz), Miles Simon (Magdeburg) and Boris Vertman (Oldenburg)

8th Northern German Differential Geometry Day

• Hannover, June 30, 2017
• Organizers: Roger Bielawski and Knut Smoczyk (Hannover), Vicente Cortés and Klaus Kröncke (Hamburg), Jens Heber and Hartmut Weiß (Kiel)

Geometric Flows and the Geometry of Space-time

• Summer School and Workshop, Hamburg, September 19–23, 2016
• Organizers: Vicente Cortés, Klaus Kröncke and Jan Louis (Hamburg)

7th Northern German Differential Geometry Day

• Hamburg, June 10, 2016
• Organizers: Roger Bielawski and Knut Smoczyk (Hannover), Vicente Cortés and Klaus Kröncke (Hamburg), Jens Heber and Hartmut Weiß (Kiel)

• Nonlinear wave equations (with Jan Metzger, Potsdam)

• Mar 25, 2022, Darboux Seminar, University of Montpellier
• Aug 02, 2021, Workshop on Curvature and Global Shape, University of Münster
• Jun 30, 2021, Workshop on Positive Scalar Curvature, Oberwolfach
• May 20, 2021, Seminar on Geometric Analysis, University of Magdeburg
• May 19, 2021, Seminar on Global Analysis and Geometry, University of Regensburg
• Feb 03, 2021, X International Meeting on Lorentzian Geometry, University of Córdoba
• Dec 17, 2020, Seminar on Differential Geometry, University of Potsdam
• Oct 21, 2020, Colloquim on Analysis, University of Freiburg
• Aug 15, 2020, Virtual conference on Ricci and Scalar Curvature
• Jul 03, 2020, 3rd FHST Meeting on Geometric Analysis, University of Tübingen
• Jun 22, 2020, Seminar on Differential Geometry, University of Regensburg
• Jun 04, 2020, Seminar on Geometric Analysis, City University of New York
• May 18, 2020, Differential Geometry Seminar, University of Münster
• Apr 23, 2020, Seminar on Geometric Analysis, University of Tübingen
• Sep 25, 2019, The first Geometry Conference for Friendship of Japan and Germany, Chuo University, Tokyo
• Sep 12, 2019, Seminar on General Relativity, Geometry and Analysis, Mittag-Leffler Institute, Stockholm
• Jun 18, 2019, Conference on Harmonic Analysis and Spectral Theory, Technion Haifa
• Apr 3, 2019, Conference on Geometry at Infinity, University of Münster
• Feb 15, 2019, Workshop on Differential Geometry in the Large, Matrix Institute, Melbourne
• Feb 8, 2019, Conference on Differential Geometry in the Large, Matrix Institute, Melbourne
• Oct 12, 2018, Conference on Stability Phenomena in Geometry and Mathematical Physics, HU Berlin
• Sep 21, 2018, Conference on Geometric Analysis and Mathematical Physics, University of Oldenburg
• Sep 18, 2018, Conference on Analytical Problems in Conformal Geometry, University of Regensburg
• May 24, 2018, Seminar on Analysis, University of Warwick
• May 8, 2018, Conference on Geometric Analysis and Mathematical Physics, Mittag-Leffler Institute, Stockholm
• Apr 23, 2018, Differential Geometry Seminar, University of Münster
• Mar 5, 2018, Workshop on Geometric Evolution Equations, University of Regensburg
• Mar 2, 2018, Seminar on Global Analysis, University of Regensburg
• Jan 25, 2018, Seminar on Differential Geometry, University of Potsdam
• Dec 22, 2017, 6th Christmas colloquium, Technical University of Vienna
• Nov 24, 2017, Seminar on Nonlinear Analysis, University of Vienna
• Oct 9–13, 2017, Summer school on Geometric Analysis on Noncompact Manifolds, University of Copenhagen
• Oct 2, 2017, Geometry and Topology Seminar, McMaster University
• Sep 29, 2017, Seminar on Geometric Analysis, Rutgers University
• Sep 28, 2017, Seminar on Geometric Analysis, City University of New York
• Sep 26, 2017, Seminar on Geometric Analysis, University of Maryland
• Sep 14, 2017, Postdoctoral Seminar, Fields Institute, Toronto
• Sep 6, 2017, Geometric Analysis Colloquium, Fields Institute, Toronto
• Aug 9, 2017, Workshop on Positive Scalar Curvature, Oberwolfach
• May 16, 2017, Seminar on Analysis and Theoretical Physics, University of Hannover
• Apr 20, 2017, Analysis Seminar, University of Oldenburg
• Feb 16, 2017, 7th European Relativity Seminar, University of Bremen
• Feb 9, 2017, Colloquium of the Graduiertenkolleg, University of Regensburg
• Dec 9, 2016, Seminar on PDE and Dynamical Systems, Universität Hamburg
• Jul 7, 2016, Seminar on Differential Geometry and Analysis, University of Hannover
• Jun 23, 2016, Geometric Analysis Seminar, AEI Potsdam
• Jun 10, 2016, 7th Northern German Differential Geometry Day, Universität Hamburg
• Feb 9, 2016, Seminar on Riemannian Geometry, MSRI Berkeley
• Dec 21, 2015, Seminar on Special Holonomy, University of Regensburg
• Nov 24, 2015, Colloquium in Pure Mathematics, Universität Hamburg
• Sep 30, 2015, Seminar on Dirac Operators, University Paris-Sud
• Sep 22, 2015, Jahrestagung der DMV, Hamburg
• Aug 19, 2015, Geometric Analysis Seminar, MPIM Bonn
• May 19, 2015, Geometry Seminar, University of Munich
• Feb 27, 2015, 5th European Relativity Seminar, Hungarian Academy of Sciences, Budapest
• Jan 23, 2015, Brussels-London geometry seminar, University of Brussels
• Jan 14, 2015, Geometry Seminar, University of Kiel
• Nov 25, 2014, Geometry and Topology Seminar, University of Stuttgart
• Aug 7, 2014, Workshop on Positive Scalar Curvature, Oberwolfach
• May 28, 2014, Geometry and Physics Seminar, University of Vienna
• May 13, 2014, Workshop on Kähler Geometry and Geometric Analysis, University College Cork
• March 27, 2014, Workshop on Geometric and Singular Analysis, University of Potsdam
• Feb 28, 2014, 4th European Relativity Seminar, ESI Vienna
• Dec 5, 2013, Topics in Geometric Analysis Seminar, AEI Potsdam
• Nov 6, 2013, Global Analysis and Geometry Seminar, University of Regensburg
• Nov 4, 2013, Differential Geometry Seminar, University of Münster
• Apr 7, 2013, Global Analysis Seminar, University of Bonn
• Mar 8, 2013, Gravitational Physics Seminar, University of Vienna
• Jan 28, 2013, Geometric Analysis Seminar, AEI Potsdam

Teaching Universität Hamburg

Teaching Universität Tübingen

• Winter Semester 2020/21:
  •  Geometry in Physics (lecture)
  • “Lorentzgeometrie” (seminar)
• Summer Semester 2020: “Analysis I” (German-language lecture)