Bio

I am a Postdoc in mathematics, working with Andras Vasy.

My personal webpage including teaching information: http://web.stanford.edu/~oliverlp/.

Professional Education

  • Doctor of Philosophy, University of Potsdam (2018)
  • Master of Science, Royal Institute of Technology (2014)
  • Bachelor of Science, Royal Institute of Technology (2014)

Stanford Advisors

Contact

  • Academic
    oliverlp@stanford.edu
    University - Scholar Department: Mathematics Position: Postdoctoral Scholar

Additional Info

  • Mail Code: 0210

Current Research and Scholarly Interests

My research is in Geometric Analysis, with emphasis on the following two topics:

1. 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.

2. 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. This requires a good understanding of parabolic equations on non-compact manifolds.

Preprints and publications:
https://arxiv.org/search/?searchtype=author&query=Petersen%2C+O+L

2020-21 Courses

All Publications

  • Long-time estimates for heat flows on ALE manifolds Kröncke, K., Lindblad Petersen, O. Preprint: arXiv 2006.06662. 2020
  • Wave equations with initial data on compact Cauchy horizons Analysis and PDE. To appear. Lindblad Petersen, O. 2020
  • Mean Curvature Flow in Asymptotically Flat Product Spacetimes The Journal of Geometric Analysis. To appear. Kröncke, K., Lindblad Petersen, O., Lubbe, F., Marxen, T., Maurer, W., Meiser, W., Szabo, A., Schnürer, O. C., Vertman, B. 2020
  • Extension of Killing vector fields beyond compact Cauchy horizons Lindblad Petersen, O. Preprint: arXiv 1903.09135. 2019
  • On the Cauchy problem for the linearised Einstein equation Ann. Henri Poincaré 20 (2019), no.12 Lindblad Petersen, O. 2019
  • Symmetries of vacuum spacetimes with compact Cauchy horizons of constant non-zero surface gravity Lindblad Petersen, O., Racz, I. Preprint: arXiv 1809.02580. 2018
  • The mode solution of the wave equation in Kasner spacetimes and redshift Math. Phys. Anal. Geom. 19 (2016), no. 4. Lindblad Petersen, O. 2016