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


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 )
    To appear in Annales de l'Institut Henri Poincaré (Probab. Stat.) 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 )
    To appear in Journal of the London Mathematical Society arXiv (2023)
  6. Local and global blow-downs of transport twistor space (with F. Monard and G. P. Paternain )
    Preprint: arXiv (2024)

Invited Talks

Seminar Talks