Need advice for research subjects in both topological and general relativity

[Atlantis_33399]

I'm a theoretical physics student working on my master's degree in China and trying to seize the opportunity to study abroad, especially in France. It's so frustrating that I still cannot find a subject or thesis that satisfies both my interests and learning goals.

Here's the thing. I major in GR, and studying with my tutor taught me some mathematical skills related to wave equations. However, as time went by, I found my true interest is definitely NOT in analytic or numerical relativity, but in the topological aspects related to my master's project.

I mean, the topological invariants. However, as far as my retrieval capability can reach, I can barely find something that is both topological and generally relativistic. Most topological studies focus on quantum materials.

Appreciate your generous advice!

MENTOR NOTE: minor edits to improve post clarity.

 

[jedishrfu]

Have you consulted with your profs especially those tuned to GR and/or Topology?

You may have to relax your desire to be schools that focus on GR or schools that focus in using topology in an applied manner. Its more likely that schools that have a GR department will have someone who is focused on GR and Topology.

Going at it from the Topology side may not be as fruitful a search.

What French schools have you identified that specialize in GR?

Have you considered schools in other countries?

 

[jedishrfu]

Here’s a list of French institutions studying General Relativity (GR) and topology. I don't know how useful it will be in your search. It seems you may have to read between the lines based on the research done to find the right fit for your interests.

Laboratoire d’Annecy-le-Vieux de Physique Theorique (LAPTh)
Focuses on integrability in gauge theories, field theory, and topology. Research includes Chern-Simons theories, Deligne-Beilinson cohomologies, and geometric quantization, exploring the interplay between GR and topology.

Laboratoire Univers et Theories (LUTH)
Part of the Observatoire de Paris, this lab conducts research in numerical relativity, including the 3+1 formalism and topological considerations in GR equations.

Ecole Normale Superieure (ENS) Department of Physics
Offers advanced courses and research opportunities in GR, often involving topological aspects of gravitational theories. ENS combines strong traditions in mathematics and physics.

Institut des Hautes Etudes Scientifiques (IHES)
Home to notable researchers like Thibault Damour. IHES supports theoretical physics and mathematics research, including topological facets of GR.

Astroparticle and Cosmology Laboratory (APC)
Researches high-energy astrophysics, cosmology, and gravitation, with work touching on the intersection of GR and topology.