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Oliver Lindblad Petersen

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FORSKARE

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Works for

MATHEMATICS

Address
LINDSTEDTSVÄGEN 25
Room

About me

  • I will give a mini course on Microlocal Analysis at Uppsala University on Jan. 31 and Feb. 14, 2023. More information here and here.
  • I am co-organizing this year's Central European Relativity Seminar, that will take place in Stockholm on May 3-5, 2023. Registration is open here.

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

Preprints:

  • Non-degenerate Killing horizons in analytic vacuum spacetimes [arXiv]
    (with Klaus Kröncke)
  • Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes [arXiv]
    (with András Vasy)
  • L^p-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds [arXiv]
    (with Klaus Kröncke)
  • Symmetries of vacuum spacetimes with compact Cauchy horizons of constant non-zero surface gravity [arXiv]
    (with I. Rácz)

Publications:

  • Wave equations in the Kerr-de Sitter spacetime: the full subextremal range  [arXiv]
    (with András Vasy)
    J. Eur. Math. Soc. (to appear)
  • Long-time estimates for heat flows on ALE manifolds [Journal, arXiv]
    (with Klaus Kröncke)
    Int. Math. Res. Not. (2021).
  • 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.
  • 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, 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

Discrete Mathematics (SF1662), assistant | Course web

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