The strong-coupling limit of a quantum system is in general quite comp
licated, but in some cases a great simplification occurs: the strongly
coupled limit is equivalent to the weakly coupled limit of some other
system. In string theory conjectures of this type go back several yea
rs, but only in the past year and a half has it been understood to be
a general principle applying to all string theories. This has improved
our understanding of string dynamics, including quantum gravity, in m
any new and sometimes surprising ways. The author describes these deve
lopments and puts them in the context of the search far the unified th
eory of particle physics and gravity.