I review the three broad areas where major progress has been reported: The
phase structure of strongly interacting matter, the properties of matter at the
instant when it freezes out into individual hadrons in the final stage of the
expansion of the hot fireball, and the status of the main signatures of the
formation of a quark-gluon plasma. In the final section I present some thoughts
about what should be done next, both in the experiemntal and the theoretical
arena.Comment: 10 pages, 1 figure, summary talk at Quark Matter '99, Torino, Italy,
somewhat modified, final versio