LISA is space-based gravitational wave (GW) observatory which is planned for launch in 2034. It consists of three satellites in the free fall in heliocentric orbit forming equilateral triangle. Satellites exchange the laser light forming transponding interferometry allowing to detect GWs in the mHz band.  One of the prime (and strongest) sources in the LISA data are the  merging massive black hole binaries.
Detecting and characterizing those binaries should enable us to infer the channel of their formation and
evolution. Some of those binaries could be embedded in the circumnuclear gaseous disc and could have an
associated electromagnetic counterpart. This counterpart is potentially detectable with the future telescopes like ATHENA and SKA, EELT, ALMA, JWST allowing measuring the redshift. The luminosity distance evaluated from the GW observations and the redshift of the host galaxy could be used to infer cosmological parameters.
   The project will proceed in the following steps:
      (i) study of the GW signal emitted by merging black hole binaries
      (ii) running algorithms for detecting those signal and characterizing it using Bayesian techniques (in the limited parameter space)
      (iii) using astrophysical catalogue of massive black hole binaries, study detectability of those sources with LISA and their identification with e/m telescopes mentioned above.
      (iv) Bayesian inference  of cosmological parameters.