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We present a new determination of the evolving galaxy UV luminosity function(LF) over the redshift range $9.5<z<12.5$ based on a wide-area ($>250$arcmin$^2$) data set of JWST NIRCam near-infrared imaging assembled fromthirteen public JWST surveys. Our relatively large-area search allows us touncover a sample of 61 robust $z>9.5$ candidates detected at $\geq 8\sigma$,and hence place new constraints on the intermediate-to-bright end of the UV LF.When combined with our previous JWST+UltraVISTA results, this allows us tomeasure the form of the LF over a luminosity range corresponding to fourmagnitudes ($M_{1500}$). At these early times we find that the galaxy UV LF isbest described by a double power-law function, consistent with results obtainedfrom recent ground-based and early JWST studies at similar redshifts. Ourmeasurements provide further evidence for a relative lack of evolution at thebright-end of the UV LF at $z=9-11$, but do favour a steep faint-end slope($\alpha\leq-2$). The luminosity-weighted integral of our evolving UV LFprovides further evidence for a gradual, smooth (exponential) decline inco-moving star-formation rate density ($\rho_{\mathrm{SFR}}$) at least out to$z\simeq12$, with our determination of $\rho_{\mathrm{SFR}}(z=11)$ lyingsignificantly above the predictions of many theoretical models of galaxyevolution.

The galaxy UV luminosity function at $\mathbf{z \simeq 11}$ from a suite of public JWST ERS, ERO and Cycle-1 programs