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We discuss the prospects to measure galaxy-cluster properties via weaklensing of 21-cm fluctuations from the dark ages and the epoch of reionization(EOR). We choose as a figure of merit the smallest cluster mass detectablethrough such measurements. We construct the minimum-variance quadraticestimator for the cluster mass based on lensing of 21-cm fluctuations atmultiple redshifts. We discuss the tradeoff between frequency bandwidth,angular resolution, and number of redshift shells available for a fixed noiselevel for the radio detectors. Observations of lensing of the 21-cm backgroundfrom the dark ages will be capable of detecting M>~10^12 Msun/h mass halos, butwill require futuristic experiments to overcome the contaminating sources.Next-generation radio measurements of 21-cm fluctuations from the EOR will,however, have the sensitivity to detect galaxy clusters with halo massesM>~10^13 Msun/h, given enough observation time (for the relevant sky patch) andcollecting area to maximize their resolution capabilities.

Galaxy-cluster masses via 21st-century measurements of lensing of 21-cm fluctuations