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Preprints:
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Non-degenerate Killing horizons in analytic vacuum spacetimes (with Oliver Lindblad Petersen)
[arXiv]
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Local and global scalar curvature rigidity of Einstein manifolds (with Mattias Dahl)
[arXiv]
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Lp-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds (with Oliver Lindblad Petersen)
[arXiv]
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Bounded Ricci Curvature and Positive Scalar Curvature under Singular Ricci de Turck Flow (with Tobias Marxen and Boris Vertman)
[arXiv]
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Long-time estimates for heat flows on ALE manifolds (with Oliver Lindblad Petersen)
[Journal, arXiv]
Int. Math Res. Not. (2021)
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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
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Spectra, stability and rigidity of sine-cones
[Journal, arXiv]
J. Funct. Anal. 281 (2021), no. 8, 109115
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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.
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Perelman's Entropies for Manifolds with conical Singularities (with Boris Vertman)
[Journal, arXiv]
Trans. Amer. Math. Soc. 374 (2021) no. 4, 2873-2908
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Stability of ALE Ricci-flat manifolds under Ricci flow (with Alix Deruelle)
[Journal, arXiv]
J. Geom. Anal. 31 (2021) no. 3, 2829-2870
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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
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Stability of Einstein metrics under Ricci flow
[Journal, arXiv]
Comm. Anal. Geom. 28 (2020) no. 2, 351-394
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Stable cosmological Kaluza-Klein Spacetimes (with Volker Branding and David Fajman)
[Journal, arXiv]
Comm. Math. Phys. 368 (2019) no. 3, 1087-1120
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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
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Stability of Ricci de Turck flow on Singular Spaces (with Boris Vertman)
[Journal, arXiv]
Calc. Var. Partial Differ. Equ. 58 (2019) no. 2, 74
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On the CMC-Einstein-Λ flow (with David Fajman)
[Journal, arXiv]
Class. Quantum Grav. 35 (2018) no. 19, 195005
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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
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Stability of sin-cones and cosh-cylinders [Journal, arXiv]
Ann. Sc. Norm. Super. Pisa, Cl. Sci. 18 (2018) no. 3, 1155-1187
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Ricci flow with metric torsion on closed surfaces (with Volker Branding)
[Journal, arXiv]
J. Geom. Anal. 27 (2017) no. 3, 2098-2117
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Stable and unstable Einstein warped products [Journal, arXiv]
Trans. Amer. Math. Soc. 369 (2017) no. 9, 6537-6563
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The Einstein-Λ flow on product manifolds (with David Fajman)
[Journal, arXiv]
Class. Quant. Grav. 33 (2016) no. 23, 235018
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Rigidity and infinitesimal deformability of Ricci solitons
[Journal, arXiv]
J. Geom. Anal. 26 (2016) no. 3, 1795-1807
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Stability and instability of Ricci solitons [Journal, arXiv]
Calc. Var. Partial Differ. Equ. 53 (2015) no. 1-2,265-287
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On the stability of Einstein manifolds
[Journal, arXiv]
Ann. Global Anal. Geom. 47 (2015) no. 1-2, 81-98
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On infinitesimal Einstein deformations
[Journal, arXiv]
Differ. Geom. Appl. 38 (2015) 41-57
Conference proceedings:
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Lp-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds [MFO]
To appear in: Oberwolfach Reports 18 (2021)
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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
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Stability of ALE Ricci-flat manifolds under Ricci flow [MFO]
Oberwolfach Reports 14 (2017) no. 3, 2256-2258
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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
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Stability and instability of Ricci solitons [MFO]
Oberwolfach Reports 11 (2014) no. 3, 2017-2019
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Scars of periodic orbits [MFO]
Oberwolfach Reports 8 (2011) no. 4, 2823–2825
Books:
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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
- Stability of Einstein Manifolds [OPUS]
Doctoral thesis, University of Potsdam, 2013
- Comparison theorems in Riemannian geometry [E-theses]
Diploma thesis, University of Vienna, 2010
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