In this equation lies the foundation of my research
This is Einsten's General Relativity field equation which, among all, tells to light rays how to bend when they cross spacetime distortions caused, for example, by dark matter inhomogeneities. And the study of light ray deviations, or Gravitational Lensing, is the main topic of my research. Please check out this project: I started it with the idea of developing a do-everything python library for Weak Gravitational Lensing data analyses, from simulations to statistical inferences.
The dark matter cosmic web, from one of our simulations. We use the fact that light rays emitted from distant galaxies are lensed through the dark matter web: correlating galaxy positions and their shape distortions, we are able to reconstruct the structure of the dark matter cosmic web and from that infer physical information about what our universe is made of.