High-energy neutrinos astrophysics is still a very young field of research. Until recently, the only extra-solar neutrinos observed originated from SN1987A and had MeV energies, well below the energies expected to be emitted from violent cosmic phenomena like supernova remnants, active galactic nuclei and gamma-ray bursts. In 2013, after many decades of efforts, the first cosmic high-energy neutrinos were detected, finally opening this highly anticipated new window for the exploration of the non-thermal universe. In 2017, this was followed by the first plausible association of a high-energy neutrino with a source through a world-spanning multi-messenger campaign. Over 180 contributions at ICRC 2019 impressively demonstrated the dynamics of the field and the importance of multi-messenger efforts. Here, I attempt to provide an overview over the field, presenting a selection from the contributions to ICRC based on the corresponding rapporteur talk at the conference in Madison.