Jan Bohr

I am a postdoctoral researcher at the Mathematical Institute of the University of Bonn. My postdoc advisor is Herbert Koch and I am member of the research group Analysis and Partial Differential Equations.

Previously I was a PhD student at the University of Cambridge under the supervision of Gabriel Paternain and member of the research group of Richard Nickl. My PhD-thesis can be found here. Before this I studied at University of Bonn, University of British Columbia and MLU Halle-Wittenberg.

I am interested in inverse problems and the analysis and geometry at their foundation. The tools I use come from differential geometry, partial differential equations, microlocal analysis and Bayesian non-parametric statistics.

Mathematisches Institut
der Universität Bonn
Endenicher Allee 60
D-53115 Bonn

Office 2.013
Email: surname@math.uni-bonn.de

Teaching

Articles and Preprints

  1. Stability of the non-abelian X-ray transform in dimension ≥ 3
    Journal of Geometric Analysis 31 (2021) ▪ arXiv
  2. On log-concave approximations of high-dimensional posterior measures and stability properties of non-linear inverse problems (with R. Nickl )
    Annales de l'Institut Henri Poincaré (Probab. Stat.) 10 (2024) ▪ arXiv (2021)
  3. The transport Oka-Grauert principle for simple surfaces (with G. P. Paternain )
    Journal de l'École polytechnique 10 (2023) ▪ arXiv
  4. A Bernstein-von-Mises theorem for the Calderón problem with piecewise constant conductivities
    Inverse Problems 31 (2023) ▪ arXiv
  5. Invariant distributions and the transport twistor space of closed surfaces (with T. Lefeuvre and G. P. Paternain )
    Journal of the London Mathematical Society 109-5 (2024) ▪ arXiv (2023)
  6. Local and global blow-downs of transport twistor space (with F. Monard and G. P. Paternain )
    Preprint: arXiv (2024)
  7. Biholomorphism rigidity of transport twistor spaces (with F. Monard and G. P. Paternain )
    To appear in Proceedings of the Royal Society A ▪ Preprint: arXiv (2024)

Invited Talks

Seminar Talks