  At the Tevatron Collider at Fermilab, a large number of top quarks have been
produced in the ongoing run. The CDF and DZero collaborations have made first
measurements of the ttbar cross section in several decay channels, and have
measured the top quark mass. In addition, they have set new limits on the cross
sections for single top quark production, and have started to measure some of
the properties of the top quark via studies of its decays. This paper
summarizes the status of these measurements and discusses where they are
heading in the next few years. The paper is based on a talk I gave at the
Rencontres du Vietnam in Hanoi, August 2004; the results have been updated to
show the latest values and new measurements.
