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We present the ultraviolet (UV) luminosity function of galaxies from theGALEX Medium Imaging Survey with measured spectroscopic redshifts from thefirst data release of the WiggleZ Dark Energy Survey. This sample selectsgalaxies with high star formation rates: at 0.6 < z < 0.9 the median starformation rate is at the upper 95th percentile of optically-selected (r<22.5)galaxies and the sample contains about 50 per cent of all NUV < 22.8, 0.6 < z <0.9 starburst galaxies within the volume sampled.  The most luminous galaxies in our sample (-21.0>M_NUV>-22.5) evolve veryrapidly with a number density declining as (1+z)^{5\pm 1} from redshift z = 0.9to z = 0.6. These starburst galaxies (M_NUV<-21 is approximately a starformation rate of 30 \msuny) contribute about 1 per cent of cosmic starformation over the redshift range z=0.6 to z=0.9. The star formation ratedensity of these very luminous galaxies evolves rapidly, as (1+z)^{4\pm 1}.Such a rapid evolution implies the majority of star formation in these largegalaxies must have occurred before z = 0.9.  We measure the UV luminosity function in 0.05 redshift intervals spanning0.1<z<0.9, and provide analytic fits to the results. At all redshifts greaterthan z=0.55 we find that the bright end of the luminosity function is not welldescribed by a pure Schechter function due to an excess of very luminous(M_NUV<-22) galaxies. These luminosity functions can be used to create a radialselection function for the WiggleZ survey or test models of galaxy formationand evolution. Here we test the AGN feedback model in Scannapieco et al.(2005), and find that this AGN feedback model requires AGN feedback efficiencyto vary with one or more of the following: stellar mass, star formation rateand redshift.

The WiggleZ Dark Energy Survey: Star-formation in UV-luminous galaxies from their luminosity functions