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We model the 21-cm signal and LAE population evolution during the epoch ofreionization in order to predict the 21cm-LAE cross-power spectrum. We employhigh-dynamic-range simulations of the IGM to create models that are consistentwith constraints from the CMB, Lyman-$\alpha$ forest and LAE populationstatistics. Using these models we consider the evolution of the cross-powerspectrum for a selection of realistic reionization histories and predict thesensitivity of current and upcoming surveys to measuring this signal. We findthat the imprint of a delayed-end to reionization can be observed by futuresurveys, and that strong constraints can be placed on the progression ofreionization as late as $z=5.7$ using a Subaru-SKA survey. We make predictionsfor the signal-to-noise ratios achievable by combinations of Subaru/PFS withthe MWA, LOFAR, HERA and SKA interferometers for an integration time of 1000hours. We find that a Subaru-SKA survey could measure the cross-power spectrumfor a late reionization at $z=6.6$ with a total signal-to-noise greater than 5,making it possible to constrain both the timing and bubble size at the end ofreionization. Furthermore, we find that expanding the current Subaru/PFS surveyarea and depth by a factor of three would double the total signal-to-noise.

Probing delayed-end reionization histories with the 21cm-LAE cross-power spectrum