Supernovae and their Cosmological Implications Alex Filippenko University of California at Berkeley Supernovae are extremely luminous, can be individually calibrated, are reasonably well understood, and should be fairly insensitive to evolutionary effects. They therefore have enormous potential for the determination of fundamental cosmological quantities such as the Hubble parameter, the mass density of the Universe, and the cosmological constant. They can also be used to show that large redshifts are consistent with the expansion of space, rather than with some competing hypotheses such as "tired light." As with any cosmological yardstick, however, great care is required to obtain accurate results. In this talk I will review the use of supernovae as cosmological probes, highlighting the main conclusions achieved thus far and providing a preview of coming attractions.