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We report the serendipitous detection of an H$_{2}$-bearing dampedLyman-$\alpha$ absorber at z = 0.576 in the spectrum of the QSO J0111-0316 inthe Cosmic Ultraviolet Baryon Survey. Spectroscopic observations from HST-COSin the far-ultraviolet reveal a damped absorber with log[N(HI)/cm^-2] = 20.1+/- 0.2 and log[N(H$_{2}$)/cm^-2] = 18.97 (-0.06, +0.05). The diffuse moleculargas is found in two velocity components separated by dv = 60 km/s, with >99.9%of the total H$_{2}$ column density concentrated in one component. At ametallicity of $\approx$ 50% of solar, there is evidence for Fe enhancement anddust depletion, with a dust-to-gas ratio $\kappa_{\text{O}} \approx$ 0.4. Agalaxy redshift survey conducted with IMACS and LDSS-3C on Magellan reveals anoverdensity of nine galaxies at projected distance d <= 600 proper kpc (pkpc)and line-of-sight velocity offset dv$_{g}$ <= 300 km/s from the absorber. Theclosest is a massive, early-type galaxy at d = 41 pkpc which contains $\approx$70% of the total stellar mass identified at d <= 310 pkpc of the H$_{2}$absorber. The close proximity of the H$_{2}$-bearing gas to the quiescentgalaxy and the Fe-enhanced chemical abundance pattern of the absorber suggest aphysical connection, in contrast to a picture in which DLAs are primarilyassociated with gas-rich dwarfs. This case study illustrates that deep galaxyredshift surveys are needed to gain insight into the diverse environments thathost dense and potentially star-forming gas.

The Cosmic Ultraviolet Baryon Survey (CUBS) II: Discovery of an H$_{2}$-Bearing DLA in the Vicinity of an Early-Type Galaxy at z = 0.576