Klaus Kröncke

Klaus Kröncke is an Associate Professor in the Department of Mathematics at KTH Royal Institute of Technology in Stockholm, Sweden. He is part of the research group in Differential Geometry and General Relativity within the Division of Analysis, Dynamics, Geometry, Number Theory and PDE. His academic journey began with diploma studies in Mathematics at the University of Vienna, followed by a PhD in Mathematics at the University of Potsdam under the supervision of Christian Bär, funded by the Max Planck Institute for Gravitational Physics. Prior to joining KTH, he served as an assistant professor at the University of Hamburg and was a visiting professor at the University of Tübingen during 2020-2021. He also held a postdoc position at the University of Regensburg.

Dr. Kröncke's research focuses on the intersection of differential geometry, geometric analysis, partial differential equations, and general relativity. His work centers on special geometric structures, particularly Einstein metrics and Ricci solitons, investigating their stability properties and the structure of their moduli spaces. He has made significant contributions to the study of geometric flows, especially Ricci flow, and has explored nonlinear stability problems in general relativity. His research approach combines deep theoretical insights with rigorous mathematical analysis to address fundamental questions in geometric analysis.

Analysis of Dr. Kröncke's recent publications reveals a consistent focus on stability phenomena in geometric structures. His work spans from abstract mathematical investigations of Einstein manifolds to concrete applications in general relativity. A notable trend is his increasing focus on manifolds with singularities and boundary conditions, reflecting the growing importance of these structures in both mathematics and theoretical physics. His collaborations span multiple institutions across Europe, demonstrating the international recognition of his expertise in geometric analysis.

Dr. Kröncke's research is supported by prestigious foundations:

• The Göran Gustafsson Foundation (project "Aspects of stability for the Einstein equation" 2022-2026)
• The Verg foundation (project "Geometric foliations and curvature flows for null hypersurfaces in general relativity" 2023-2025)

As an advisor, Dr. Kröncke currently supervises PhD student Rasmus Johansen Jouttijärvi and has previously advised Áron Szabó (2016-2021). He leads a research team that includes postdocs Markus Wolff and Louis Yudowitz. His mentoring extends to numerous postdoctoral researchers including Sari Ghanem, Felix Lubbe, Francesca Oronzio, Oliver Petersen, and Alan Pinoy. Dr. Kröncke is actively involved in organizing academic events, having co-organized conferences such as "Einstein Spaces and Special Geometry" at the Institute Mittag-Leffler (2023) and "Scalar curvature rigidity" block seminar (2025).