In LMC lab we conduct theoretical and experimental research of light-matter coupling in low-dimensional quantum materials with a particular focus on the strong coupling regime and its manifestations in optical and transport properties. The theoretical research spans from the development of the novel ab-initio techniques for qiantitative modelling of the cavity quantum electrodynamics with low-dimensional materials to the symmetry analysis of the new emergent phases in quantum materials. Experiments involve both measurements of ultrafast nonlinearities using pump-probe techniques and quantum measurements of the photon correlations induced by light-matter interactions.