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We present the Australian Square Kilometre Array Pathfinder (ASKAP)localization and follow-up observations of the host galaxy of the repeatingfast radio burst (FRB) source, FRB20201124A, the fifth such extragalacticrepeating FRB with an identified host. From spectroscopic observations usingthe 6.5-m MMT Observatory, we derive a redshift of $z=0.0979 \pm 0.0001$, astar formation rate inferred from H$\alpha$ emission of SFR(H$\alpha$) $\approx2.1 M_{\odot}$ yr$^{-1}$, and a gas-phase metallicity of 12+log(O/H)$\approx9.0$. By jointly modeling the 12-filter optical-mid-infrared (MIR) photometryand spectroscopy of the host, we infer a median stellar mass of $\approx 2\times 10^{10} M_{\odot}$, internal dust extinction of $A_V\approx 1-1.5$ mag,and a mass-weighted stellar population age of $\approx 5-6$ Gyr. Connectingthese data to the radio and X-ray observations, we cannot reconcile thebroad-band behavior with strong AGN activity and instead attribute the dominantsource of persistent radio emission to star formation, likely originating fromthe circumnuclear region of the host. The modeling also indicates a hot dustcomponent contributing to the MIR luminosity at a level of $\approx 10-30\%$.We model the host galaxy's star formation and mass assembly histories, findingthat the host assembled $>90\%$ of its mass by 1 Gyr ago and exhibited a fairlyconstant SFR for most of its existence, with no clear evidence of paststar-burst activity.

Chronicling the Host Galaxy Properties of the Remarkable Repeating FRB 20201124A