Activities

Organisation of schools, workshops, conferences:

• Mass Invariants in Riemannian Geometry
  Workshop, LTU Luleå, Janurary 11-15, 2027
  with Mattias Dahl (KTH Stockholm) and Stephen McCormick (LTU Luleå)
• Geometric Analysis: Parabolic and Elliptic Methods
  Conference, KTH Stockholm, June 8-12, 2026
  with Markus Wolff (Vienna) and Louis Yudowitz (KTH Stockholm)
• Differential Geometry and General Relativity
  Masterclass, Stockholm, May 18-22, 2026
  with Mattias Dahl (KTH) and Oliver Lindblad Petersen (Stockholm University)
• Scalar curvature rigidity
  Blockseminar, Sülzburg, September 29-October 2, 2025
  with Bernd Ammann (Regensburg) and Hartmut Weiß (Kiel)
• Einstein Spaces and Special Geometry
  Conference, Institute Mittag-Leffler, July 10-14, 2023
  with Lars Andersson (AEI Potsdam) and Mattias Dahl (KTH Stockholm)
• Construction and degeneration of Einstein 4-manifolds
  Blockseminar, Sülzburg, October 4-8, 2022
  with Bernd Ammann (Regensburg) and Hartmut Weiß (Kiel)
• Global Analysis on Manifolds
  A Conference in honour of Christian Bär, Freiburg, September 19-23, 2022
  with Bernd Ammann (Regensburg), Lashi Bandara (Brunel London) and Sebastian Goette (Freiburg)
• Wave equations and Fourier integral operators on models of an expanding universe
  Winter school, Potsdam, January 15-17, 2020
  with Jan Metzger (Potsdam) and Oliver Lindblad Petersen (Hamburg)
• 10th Northern German Differential Geometry Day
  Hamburg, June 21, 2019
  with Roger Bielawski, Lynn Heller and Knut Smoczyk (Hannover), Vicente Cortés  (Hamburg), Jens Heber and Hartmut Weiß (Kiel)
• Ricci flow, mean curvature flow and related singular flows
  Workshop, Hamburg, September 3-6, 2018
  with Oliver Schnürer (Konstanz), Miles Simon (Magdeburg) and Boris Vertman (Oldenburg)
• 9th Northern German Differential Geometry Day
  Kiel, June 8, 2018
  with Roger Bielawski, Lynn Heller and Knut Smoczyk (Hannover), Vicente Cortés (Hamburg), Jens Heber and Hartmut Weiß (Kiel)
• Field equations on Lorentzian space-times
  Workshop, Hamburg, March 19-23, 2018
  with Vicente Cortés and Sari Ghanem (Hamburg)
• Geometric evolution equations
  Winter school, Konstanz, February 5-9, 2018
  with Oliver Schnürer (Konstanz), Miles Simon (Magdeburg) and Boris Vertman (Oldenburg)
• 8th Northern German Differential Geometry Day
  Hannover, June 30, 2017
  with Roger Bielawski and Knut Smoczyk (Hannover), Vicente Cortés (Hamburg), Jens Heber and Hartmut Weiß (Kiel)
• Geometric Flows and the Geometry of Space-time
  Summer School and Workshop, Hamburg, September 19-23, 2016
  with Vicente Cortés and Jan Louis (Hamburg)
• 7th Northern German Differential Geometry Day
  Hamburg, June 10, 2016
  with Roger Bielawski and Knut Smoczyk (Hannover), Vicente Cortés (Hamburg), Jens Heber and Hartmut Weiß (Kiel)

Grants and projects:

• Critical metrics on asymptotically hyperbolic manifolds (2026-2028)
  Project supported by the Verg foundation
• Positive mass and stability of asymptotically hyperbolic manifolds (2026-2030)
  Project supported by the swedish research council
• Geometric foliations and curvature flows for null hypersurfaces in general relativity (2023-2025, with Oliver Petersen)
  Project supported by the Verg foundation
• Aspects of stability for the Einstein equation (2022-2026)
  Project supported by the Göran Gustafsson foundation
• Spectral geometry, index theory and geometric flows on singular spaces(2020-2025, with Boris Vertman)
  Project within the framework of the SPP 2026 Geometry at infinity,
• Uniqueness in mean curvature flow(2020-2025, with Oliver Schnürer)
  Project within the framework of the SPP 2026 Geometry at infinity
• Stability and instability of Einstein manifolds with prescribed asymptotic geometry(2017-2020)
  Project within the framework of the SPP 2026 Geometry at infinity
• Differential geometry and Supersymmetry(2015-2020)
  Project within the Graduiertenkolleg 1670 Mathematics inspired by string theory and quantum field theory

Seminar:

• Nonlinear wave equations(with Jan Metzger, Potsdam)