  Quantum Monte Carlo methods find fruitful application in large shell model
problems. These methods reduce the imaginary-time many-body evolution operator
to a coherent superposition of one-body evolutions in a fluctuating one-body
field; the resultant path integral is evaluated stochastically. After a brief
review of the capabilities and general strategy of Shell Model Monte Carlo
methods, I discuss results and insights obtained from a number of applications.
These include the ground state and thermal properties of {\it pf}-shell nuclei,
the thermal and rotational behavior of rare-earth and $\gamma$-soft nuclei, and
the calculation of double beta-decay matrix elements. Prospects for further
progress in such calculations are also discussed.

Nuclear Theory