Oliver Lindblad Petersen
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Kungliga Tekniska Högskolanhttps://www.kth.se/profile/oliverlp
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Lindstedtvägen 25
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About me
I am a researcher and teacher in mathematics with a four years starting grant from the Swedish Research Council (Vetenskapsrådet).
My research is in Geometric Analysis, with emphasis on Mathematical General Relativity. I am particularly interested in:
- Uniqueness of black holes
- Stability of black holes
- Strong cosmic censorship in cosmology
- Stability under Ricci flow
Klaus Kröncke and I are organizing a weekly research seminar in the group of Differential Geometry and General Relativity at KTH.
Preprints:
- Formation of quiescent big bang singularities [arXiv]
(with Hans Oude Groeniger and Hans Ringström) - Stationarity and Fredholm theory in subextremal Kerr-de Sitter spacetimes [arXiv]
(with András Vasy) - Non-degenerate Killing horizons in analytic vacuum spacetimes [arXiv]
(with Klaus Kröncke) - L^p-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds [arXiv]
(with Klaus Kröncke)
Publications:
- Wave equations in the Kerr-de Sitter spacetime: the full subextremal range [Journal, arXiv]
(with András Vasy)
J. Eur. Math. Soc. (to appear) - Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes [Journal, arXiv]
(with András Vasy)
Comm. Math. Phys. 402 (2023), no. 3, 2547–2575 . - Long-time estimates for heat flows on ALE manifolds [Journal, arXiv]
(with Klaus Kröncke)
Int. Math. Res. Not. (2021), no. 24, 19943-20003. - Extension of Killing vector fields beyond compact Cauchy horizons [Journal, arXiv]
Adv. Math. 391 (2021), Paper No. 107953. - Mean curvature flow in asymptotically flat product spacetimes [Journal, arXiv]
(with Klaus Kröncke, Felix Lubbe et al)
J. Geom. Anal. 31 (2021), no. 6, 5451-5479. - Symmetries of vacuum spacetimes with compact Cauchy horizons of constant non-zero surface gravity [Journal, arXiv]
(with I. Rácz)
Ann. Henri Poincaré 24 (2023), 3921-3943. - Wave equations with initial data on compact Cauchy horizons [Journal, arXiv]
Analysis & PDE 14 (2021), no. 8, 2363–2408. - On the Cauchy problem for the linearised Einstein equation [Journal, arXiv]
Ann. Henri Poincaré 20 (2019), no. 12, 3849-3888. - The mode solution of the wave equation in Kasner spacetimes and redshift [Journal, arXiv]
Math. Phys. Anal. Geom. 19 (2016), no. 4, Art. 26, 15 pp.
Conference proceedings:
- Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes [MFO]
Oberwolfach Reports 40 (2021)
Previous positions:
- Postdoc, Uppsala University (Nov. 2021 - Aug. 2022)
- Postdoc, Stanford University (March 2020 - Oct. 2021)
- Postdoc, University of Hamburg (Nov. 2017 - Jan. 2020)
Education:
- Doctor of Philosophy, University of Potsdam (2018)
- Master of Science, Royal Institute of Technology KTH (2014)
- Bachelor of Science, Royal Institute of Technology KTH (2014)
- Exchange studies at ETH Zürich and TU München
Courses
Basic Course in Mathematics (SF1689), course responsible, teacher | Course web
Calculus in One Variable (SF1625), course responsible, teacher | Course web
Discrete Mathematics (SF1662), assistant | Course web
Introductory Course in Mathematics (SF0003), teacher | Course web