The nuclear matter produced in heavy-ion collisions starts as a far-from-equilibrium system with an energy density so high, that the quarks and gluons normally confined inside protons and neutrons, form a continuous medium. Soon after, this medium thermalizes into a nearly ideal liquid known as the quark-gluon plasma (QGP) which exhibits pronounced collectivity, indicating that its constituents are not confined. Studying the multi-phase evolution of this hot and dense medium is particularly interesting, since it allows to access such fundamental properties of nature as the colour confinement and the origin of complex matter in the universe. However, experimental studies of this system are highly non-trivial since the information about the QGP evolution is entangled in correlations of energy and momenta of billions of particles. An opportunity to overcome this issue is provided by hadronic jets -- sprays of particles produced by energetic quarks or gluons leaving the QGP fireball. These energetic particles penetrate the matter, lose their energy, and have the structure of the final jet modified. Thus, jets essentially X-ray the QGP fireball providing a picture of its real-time evolution. The idea of using energetic particles for tomography of the medium has attracted significant attention in recent years. However, all current theoretical approaches are either lacking sensitivity to the medium motion and in-medium fluctuations or are based on empirical models. In the JetT project I will utilize recent advancements in first principle QCD and jet theory to develop a description of the jet-medium interaction sensitive to medium motion effects. This will provide much needed tool to study the evolution of the matter produced in HIC bringing the idea of jet tomography on completely new level.