Jan Bohr

I am a PhD student at the University of Cambridge under the supervision of Gabriel Paternain and member of the research group of Richard Nickl. Before this I studied at University of Bonn, University of British Columbia and MLU Halle-Wittenberg.

Department of Pure Mathematics and Mathematical Statistics
Wilberforce Road
Cambridge, CB3 0BW, UK
Office D0.18
Email: surname@maths.cam.ac.uk

Research

My research is concerned with inverse problems in differential geometry and partial differential equations (PDE) and addresses both fundamental analytical questions as well as statistical aspects. A typical such inverse problem asks to determine an unknown quantity inside a domain (e.g. a function, metric tensor or PDE coefficients) from indirect measurements on a subdomain. Many of these problems model real life tomography methods, such as SPECT, PNT and EIT. The tools I use come from differential geometry, PDE & microlocal analysis and Bayesian non-parametric statistics.

Articles and Preprints

  1. A Bernstein-von-Mises theorem for the Calderón problem with piecewise constant conductivities
    arXiv (2022)
  2. The transport Oka-Grauert principle for simple surfaces
    With Gabriel P. Paternain arXiv (2021)
  3. On log-concave approximations of high-dimensional posterior measures and stability properties of non-linear inverse problems
    With Richard Nickl arXiv (2021)
  4. Stability of the non-abelian X-ray transform in dimension ≥ 3
    J Geom Anal (2021) arXiv

Talks