Precise measurements of neutrino oscillations require a quantitative understanding of neutrino-nucleus interactions. In addition, the new underground detectors will have sufficient precision to answer many open questions on the dynamics of core collapse supernovae. In this regard, an accurate description of neutrino propagation in dense nuclear matter and the nuclear matter equation of state are of vital importance. The latter is crucial also in view of the recent ground-breaking detection of gravitational waves performed by the LIGO collaboration.
Understanding of the structure and of the electroweak interactions of atomic nuclei and nuclear matter in terms of their individual constituents is an intriguing nuclear many-body problem. I will present how we are pursuing the construction of a robust framework, based on quantum Monte Carlo and high-performance computing, in which a consistent description of the structure of nuclei and nuclear matter and of their interaction with electroweak probes is achieved, along with a reliable estimate of the theoretical uncertainty of the calculation.