Research

Publications:

• Klaus Kröncke, Markus Wolff; Foliations of asymptotically Schwarzschildean lightcones by surfaces of constant spacetime mean curvature, Mathematische Annalen, 394 (73), 2026

• Markus Wolff;  An area growth argument for null mean curvature flow along the standard de Sitter lightcone, Communications in Analysis and Geometry, 33 (6), 1305-1328, 2025

• Gerhard Huisken, Markus Wolff; On the evolution of hypersurfaces along their inverse spacetime mean curvature, Journal of Differential Geometry, 130(3), 571-633, 2025 

• Markus Wolff; On effects of the null energy condition on totally umbilic hypersurfaces in a class of static spacetimes, Annals of Global Analysis and Geometry, 66(10), 2024 

• Markus Wolff; A De Lellis-Müller type estimate on the Minkowski lightcone, Calculus of Variations and Partial Differential equations, 63(185), 2024 

• Armando Cabrera Pacheco, Markus Wolff; Families of non time-symmetric initial data sets and Penrose-like energy inequalities, Journal of Mathematical Physics, 65, 072501, 2024 

• Carla Cederbaum, Markus Wolff; Some new perspectives on the Kruskal-Szekeres extension with applications to photon surfaces, Letters in Mathematical Physics, 114(40), 2024 

• Markus Wolff; On the Spacetime Mean Curvature of Surfaces in General Relativity, Dissertation, published via the Universitätsbibliothek Tübingen (link), 2023 

• Markus Wolff; Ricci-Flow on surfaces along the standard light cone in the 3+1-Minkowski spacetime, Calculus of Variations and Partial Differential Equations, 62(90), 2023
  
  
  

Selected Talks:

• "Foliations of asymptotically Schwarzschildean lightcones by surfaces of constant spacetime mean curvature“; SPP Conference Geometry at Infinity; Leibzig, April 2025

• "Foliations of  asymptotically Schwarzschildean lightcones by surfaces of constant spacetime mean curvature"; MATRIX-MFO Tandem Workshop: Nonlinear Geometric Diffusion Equations; Mathematisches Forschungsinstitut Oberwolfach, February 2025

• "Foliations of  asymptotically Schwarzschildean lightcones by surfaces of constant spacetime mean curvature";
  Workshop: Mathematical Aspects of General Relativity; Mathematisches Forschungsinstitut Oberwolfach, August 2024

• "Ricci-flow on surfaces along the standard lightcone in the 3+1 Minkowski spacetime"; Workshop: Analysis, Geometriy and Topology of Positive Scalar Curvature Metrics; Mathematisches Forschungsinstitut Oberwolfach, February 2024

• "Ricci-flow on surfaces along the standard lightcone in the 3+1 Minkowski spacetime"; Workshop of Mass, the Einstein Constraint Equations, and the Penrose Inequality Conjecture; Simons Center for Geometry and Physics, Stony Brooks, September 2023

• "Ricci-flow on surfaces along the standard lightcone in the 3+1 Minkowski spacetime"; Workshop in Ricci flow and related topics; University of Warwick, March 2022

• "Ricci-flow on surfaces along the standard lightcone in the 3+1 Minkowski spacetime"; EMW-EMS Summerschool on the Cauchy Problem in General Relativity; Institut Mittag-Leffler, June 2022

• "On the evolution of hypersurfaces along their inverse spacetime mean curvature"; Workshop: Mathematical Aspects of General Relativity; Mathematisches Forschungsinstitut Oberwolfach, August 2021

Picture taken at the Insitut Mittag-Leffler