Oliver Lindblad Petersen

Jag är forskare och lärare i matematik med ett fyraårigt etableringdsbidrag från Vetenskapsrådet.

Min forskning är inom geometrisk analys med betoning på allmän relativitetsteori. Jag är speciellt intresserad av:

• Entydighet av svarta hål
• Stabilitet av svarta hål
• Stark kosmisk censurförmodan i kosmologi
• Stabilitet under Ricciflödet

Ännu inte publicerade artiklar (preprints):

• 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)

Publikationer:

• 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 [arXiv]
  (with András Vasy)
  Comm. Math. Phys. (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.
• Symmetries of vacuum spacetimes with compact Cauchy horizons of constant non-zero surface gravity [arXiv]
  (with I. Rácz)
  Ann. Henri Poincaré (to appear)
• 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.

Tidigare anställningar:

• Postdoc, Uppsala University (Nov. 2021 - Aug. 2022)
• Postdoc, Stanford University (March 2020 - Oct. 2021)
• Postdoc, University of Hamburg (Nov. 2017 - Jan. 2020)

Utbildning:

• 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.