Publications
Preprints:
- A Volume-Renormalized Mass for Asymptotically Hyperbolic Manifolds (with Mattias Dahl and Stephen McCormick) [arXiv]
- Lp cohomology and Hodge decomposition for ALE manifolds (with Baptiste Devyver) [arXiv]
- Optimal coordinates for Ricci-flat conifolds (with Áron Szabó) [arXiv]
- Non-degenerate Killing horizons in analytic vacuum spacetimes (with Oliver Lindblad Petersen) [arXiv]
- Lp-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds (with Oliver Lindblad Petersen) [arXiv]
Peer-reviewed publications:
- Bounded Ricci Curvature and Positive Scalar Curvature under Singular Ricci de Turck Flow (with Tobias Marxen and Boris Vertman) [Journal, arXiv]
Pac. J. Math. 324 (2023), no. 2, 295-331 - Local and global scalar curvature rigidity of Einstein manifolds (with Mattias Dahl) [Journal, arXiv] Math. Ann (2022)
- Long-time estimates for heat flows on ALE manifolds (with Oliver Lindblad Petersen) [Journal, arXiv]
Int. Math Res. Not. 2022 (2022), no. 24, 19943-20003 - Construction of initial data sets for Lorentzian manifolds with lightlike parallel spinors (with Bernd Ammann and Olaf Müller)
[Journal, arXiv] Comm. Math. Phys. 387 (2021), no. 1 , 77-109 - Spectra, stability and rigidity of sine-cones [Journal, arXiv]
J. Funct. Anal. 281 (2021), no. 8, 109115 - Mean curvature flow in asymptotically flat product spacetimes (with Oliver Lindblad Petersen, Felix Lubbe et al) [Journal, arXiv]
J. Geom. Anal. 31, (2021) no. 6, 5451–5479. - Perelman's Entropies for Manifolds with conical Singularities (with Boris Vertman) [Journal, arXiv]
Trans. Amer. Math. Soc. 374 (2021) no. 4, 2873-2908 - Stability of ALE Ricci-flat manifolds under Ricci flow (with Alix Deruelle) [Journal, arXiv]
J. Geom. Anal. 31 (2021) no. 3, 2829-2870 - Stable fixed points of the Einstein flow with positive cosmological constant (with David Fajman) [Journal, arXiv]
Comm. Anal. Geom. 28 (2020) no. 7, 1533-1576 - Stability of Einstein metrics under Ricci flow [Journal, arXiv]
Comm. Anal. Geom. 28 (2020) no. 2, 351-394 - Stable cosmological Kaluza-Klein Spacetimes (with Volker Branding and David Fajman) [Journal, arXiv]
Comm. Math. Phys. 368 (2019) no. 3, 1087-1120 - Holonomy rigidity for Ricci-flat metrics (with Bernd Ammann, Hartmut Weiß and Frederik Witt) [Journal, arXiv]
Math. Z. 291 (2019) no. 1-2, 303-311 - Stability of Ricci de Turck flow on Singular Spaces (with Boris Vertman) [Journal, arXiv]
Calc. Var. Partial Differ. Equ. 58 (2019) no. 2, 74 - On the CMC-Einstein-Λ flow (with David Fajman) [Journal, arXiv]
Class. Quantum Grav. 35 (2018) no. 19, 195005 - Global existence of Dirac-wave maps with curvature term on expanding spacetimes (with Volker Branding) [Journal, arXiv]
Calc. Var. Partial Differ. Equ. 57 (2018) no. 5, 119 - Stability of sin-cones and cosh-cylinders [Journal, arXiv]
Ann. Sc. Norm. Super. Pisa, Cl. Sci. 18 (2018) no. 3, 1155-1187 - Ricci flow with metric torsion on closed surfaces (with Volker Branding) [Journal, arXiv]
J. Geom. Anal. 27 (2017) no. 3, 2098-2117 - Stable and unstable Einstein warped products [Journal, arXiv]
Trans. Amer. Math. Soc. 369 (2017) no. 9, 6537-6563 - The Einstein-Λ flow on product manifolds (with David Fajman) [Journal, arXiv]
Class. Quant. Grav. 33 (2016) no. 23, 235018 - Rigidity and infinitesimal deformability of Ricci solitons [Journal, arXiv]
J. Geom. Anal. 26 (2016) no. 3, 1795-1807 - Stability and instability of Ricci solitons [Journal, arXiv]
Calc. Var. Partial Differ. Equ. 53 (2015) no. 1-2,265-287 - On the stability of Einstein manifolds [Journal, arXiv]
Ann. Global Anal. Geom. 47 (2015) no. 1-2, 81-98 - On infinitesimal Einstein deformations [Journal, arXiv]
Differ. Geom. Appl. 38 (2015) 41-57
Conference proceedings:
- Lp-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds [MFO]
Oberwolfach Reports 18 (2021) no. 2, 1618-1621 - A survey on the Ricci flow on singular spaces (with Boris Vertman) [Cambrige, arXiv]
O. Dearricott et al. (eds.) Differential Geometry in the Large, Cambridge University Press. 463, 118-140 - Stability of ALE Ricci-flat manifolds under Ricci flow [MFO]
Oberwolfach Reports 14 (2017) no. 3, 2256-2258 - Variational Stability and Rigidity of compact Einstein Manifolds [Springerlink]
F. Finster et al. (eds.) Quantum Mathematical Physics. A Bridge between Mathematics and Physics, 497-513, Springer, 2016 - Stability and instability of Ricci solitons [MFO]
Oberwolfach Reports 11 (2014) no. 3, 2017-2019 - Scars of periodic orbits [MFO]
Oberwolfach Reports 8 (2011) no. 4, 2823–2825
Books:
- Geometric Flows and the Geometry of Space-time [Springerlink]
Editors: Vicente Cortés, Klaus Kröncke, Jan Louis
Tutorials, Schools, and Workshops in the Mathematical Sciences, Birkhäuser, 2018
Theses:
