Abstract
In this talk I will
describe some examples of quantum phase transitions with disorder
and explain in what ways these transitions
differ from conventional phase transitions at finite temperature.
It will be explained that the $\epsilon$-expansion does not work and so
much of what we know has come from numerical simulations. A novel
feature is the importance of ``Griffiths singularities'', which come
from rare, strongly correlated, regions of the system.
Some recent results on the quantum spin glass will be discussed in a
little more detail