Jack Borthwick

Jack Borthwick

Associate professor — Université Paris Cité - IMJ-PRG

Cartan Geometry, geometric analysis, PDEs

Bio

Since September 2025, I am a maître de conférences (Associate Professor) at Université Paris Cité, affiliated with the IMJ-PRG. I am a member of the Geometry and Dynamics team.

Prior to that, I was a postdoctoral researcher at McGill University (Montréal), where I worked with Niky Kamran.
My research focusses on Cartan geometries and their applications to geometric analysis and partial differential equations.

Download CV

Research topics

  • Asymptotic analysis
  • Spectral analysis
  • Partial differential equations
  • Cartan & differential geometry
  • Variational methods
  • Inverse problems
  • Scattering & resonances

Recent work

  • Ti and Spi, Carrollian extended boundaries at timelike and spatial infinityClassical and Quantum Gravity (2025) - (with M. Chantreau & Y. Herfray).
  • Inverse problems for the Bakry-Émery Laplacian — with N. Kamran (2025).
  • Bounded Palais-Smale sequences with Morse type information for some constrained functionalsTrans. AMS. (2024) - (with X. Chang, L. Jeanjean & N. Soave).

More publications →

Teaching & notes