I worked at the University of Warsaw as the principal investigator of a Norway Grants POLS-NCN
project on Conformal and Cauchy-Riemann methods in general relativity from July 2021 to September 2023. I am now based at Politechnika Łódzka.
Research interests
My fields of research are differential geometry and mathematical physics. More specifically, I investigate a number of interrelated geometric structures in conformal geometry, which include:
- Robinson geometry, arising from the interaction between Cauchy-Riemann geometry and Lorentzian conformal geometry. In dimension four, these structures play an important part in the study of
Lorentzian Einstein
metrics.
- Patterson-Walker geometry, where projective structures meet conformal structures in split signature.
- Complex Riemannian geometry and spinor calculus. .
- Twistor geometry and the Penrose transform, in relation to the construction of solutions to invariant differential equations.
Contact Information
- Address:
Faculty of Physics, University of Warsaw, ul. Pasteura 5, 02-093 Warszawa, Poland
- Email: arman DOT taghavi-chabert AT fuw DOT edu DOT pl
- ORCID profile: 0000-0002-9796-9875