  A suite of detectors around the world is poised to measure the
flavor-energy-time evolution of the ten-second burst of neutrinos from a
core-collapse supernova occurring in the Milky Way or nearby. Next-generation
detectors to be built in the next decade will have enhanced flavor sensitivity
and statistics. Not only will the observation of this burst allow us to peer
inside the dense matter of the extreme event and learn about the collapse
processes and the birth of the remnant, but the neutrinos will bring
information about neutrino properties themselves. This review surveys some of
the physical signatures that the currently-unknown neutrino mass pattern will
imprint on the observed neutrino events at Earth, emphasizing the most robust
and least model-dependent signatures of mass ordering.
