Oliver Lindblad Petersen
I am a Postdoc in mathematics at Stanford University, working with András Vasy.
E-mail: oliverlp at stanford dot edu
My research is in Geometric Analysis, with emphasis on the following two topics:
- Wave equations near horizons in general relativity. This amounts to a study of singular and degenerate hyperbolic PDEs on Lorentzian spacetimes. There are natural geometric applications related to the strong cosmic censorship in cosmology and the black hole uniqueness conjecture.
- Ricci flow on non-compact manifolds. Together with Klaus Kröncke in Hamburg, we work on stability questions for Ricci flow on manifolds with a prescribed asymptotic structure at infinity.
- Analyticity of quasinormal modes in the Kerr and Kerr-de Sitter spacetimes
(with András Vasy) [arXiv]
- L^p-stability and positive scalar curvature rigidity of Ricci-flat ALE manifolds (with Klaus Kröncke) [arXiv]
- Long-time estimates for heat flows on ALE manifolds (with Klaus Kröncke) [arXiv]
- Symmetries of vacuum spacetimes with compact Cauchy horizons of constant non-zero surface gravity (with I. Rácz) [arXiv]
- 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 (with Klaus Kröncke, Felix Lubbe et al) [Journal, arXiv]
J. Geom. Anal. 31 (2021), no. 6, 5451-5479.
- Wave equations with initial data on compact Cauchy horizons [Journal, arXiv]
Anal. PDE. To appear.
- 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.
Fall 2020-2021: Math 143: Differential Geometry
Postdoc, University of Hamburg (Nov. 2017-Jan. 2020)
Doctor of Philosophy, University of Potsdam (2018)
Master of Science, Royal Institute of Technology (2014)
Bachelor of Science, Royal Institute of Technology (2014)
Department of Mathematics, Building 380, Stanford University, 450 Jane Stanford Way, Stanford CA 94305-2125, USA.