Peter Hintz

Miller Research Fellow

Department of Mathematics
University of California, Berkeley

Office: 805 Evans Hall
E-mail:

I am a Miller Research Fellow for three years from 2015 until 2018. My host is Professor Maciej Zworski. I obtained my Ph.D. from Stanford University under the supervision of Professor András Vasy. For my undergraduate education, I attended the University of Göttingen.

Curriculum vitae: pdf


Together with Casey Jao, I am organizing the Analysis&PDE Seminar at Berkeley.

Papers and preprints

  1. Semilinear wave equations on asymptotically de Sitter, Kerr-de Sitter and Minkowski spacetimes, joint with András Vasy.

    Analysis & PDE, 8(8):1807-1890, 2015.

  2. Non-trapping estimates at normally hyperbolic trapping, joint with András Vasy.

    Mathematical Research Letters, 21(6):1277-1304, 2014.

  3. Global well-posedness of quasilinear wave equations on asymptotically de Sitter spaces

    Annales de l'Institut Fourier, 66(4):1285-1408, 2016.

  4. Global analysis of quasilinear wave equations on asymptotically Kerr-de Sitter spaces, joint with András Vasy.

    International Mathematics Research Notices, 2016(17):5355-5426, 2016.

  5. Quasilinear waves and trapping: Kerr-de Sitter space, joint with András Vasy. Lecture notes on the `Global analysis...' paper listed above.

    Journées équations aux dérivées partielles, 21(6):1-15, 2014.

  6. Asymptotics for the wave equation on differential forms on Kerr-de Sitter space, joint with András Vasy.

    Preprint, 2015.

  7. Resonance expansions for tensor-valued waves on asymptotically Kerr-de Sitter spaces.

    Journal of Spectral Theory, to appear.

  8. Boundedness and decay of scalar waves at the Cauchy horizon of the Kerr spacetime.

    Commentarii Mathematici Helvetici, to appear.

  9. Analysis of linear waves near the Cauchy horizon of cosmological black holes, joint with András Vasy.

    Preprint, 2015.

  10. The global non-linear stability of the Kerr-de Sitter family of black holes, joint with András Vasy.

    Preprint, 2016.

  11. Non-linear stability of the Kerr-Newman-de Sitter family of charged black holes.

    Preprint, 2016.

  12. Uniqueness of Kerr-Newman-de Sitter black holes with small angular momenta.

    Preprint, 2017.

  13. Resonances for obstacles in hyperbolic space, joint with Maciej Zworski.

    Preprint, 2017.

  14. Wave decay for star-shaped obstacles in R3: papers of Morawetz and Ralston revisited, joint with Maciej Zworski.

    Preprint, 2017.

  15. Reconstruction of Lorentzian manifolds from boundary light observation sets, joint with Gunther Uhlmann.

    Preprint, 2017.

Ph.D. thesis

Download pdf.


Talks and presentations

  1. Regularity of linear waves at the Cauchy horizon of black hole spacetimes.

    Slides for a talk at the workshop Evolution Equations on Singular Spaces, Luminy, April 2016.


  2. Non-linear stability of Kerr-de Sitter black holes.

    Slides for a talk at the University of Cambridge, October 2016.


  3. Non-linear stability of Kerr-de Sitter spacetimes.

    Video recording of a talk at the workshop 16w5066: Geometric and Spectral Methods in Partial Differential Equations, Oaxaca, December 2016.

Expository notes

  1. Positive Commutator Estimates.

    Notes for a talk in the Stanford Student Analysis and Geometry Seminar, November 2012.


  2. Viscosity Solutions.

    Notes for a talk in the Stanford Student Analysis and Geometry Seminar, April 2014.