It has long been known that our universe is expanding, but recent Type Ia supernovae observations have demonstrated that the expansion is accelerating. Current cosmological models attribute this acceleration to a form of repulsive “dark energy”. The simplest explanation of dark energy is Einstein’s cosmological constant found in his original field equations; more exotic alternatives would demand radically new physics. In this talk, I will describe the largest ever galaxy survey undertaken of the distant universe that utilizes the baryon acoustic oscillation (BAO) signature seen in the clustering of galaxies to precisely measure the dark energy equation of state and hence test whether dark energy can be described by Einstein’s cosmological constant model. Called the “WiggleZ” survey, it is using the powerful two degree field multi-object spectrograph AAOmega on the 3.9m Anglo-Australian Telescope to obtain spectra and measure redshifts for up to 500,000 galaxies in the range 0.5<z<1.3 over an area of 500 square degrees of sky. The design of the survey, its progress to date, and initial results on the small-scale clustering of galaxies at high redshift will be presented.