Maartens, RoyAbdalla, Filipe B.Bull, PhilipCamera, StefanoBenoit-Levy, AurelienJoachimi, BenjaminKirk, DonnachaKlöckner, Hans-RainerRaccanelli, AlviseSantos, Mario G.Zhao, Gong-Bo2015-10-202015-10-202014Abdalla, F.B., (2014). Cosmology from HI galaxy surveys with the SKA. Paper presented at Advancing Astrophysics with the Square Kilometre Array, Giardini Naxos, Italy. PoS(AASKA14)017KA.1824-8039http://hdl.handle.net/10566/1817The Square Kilometer Array (SKA) has the potential to produce galaxy redshift surveys which will be competitive with other state of the art cosmological experiments in the next decade. In this chapter we summarise what capabilities the first and the second phases of the SKA will be able to achieve in its current state of design. We summarise the different cosmological experiments which are outlined in further detail in other chapters of this Science Book. The SKA will be able to produce competitive Baryonic Oscillation (BAOs) measurements in both its phases. The first phase of the SKA will provide similar measurements in optical and IR experiments with completely different systematic effects whereas the second phase being transformational in terms of its statistical power. The SKA will produce very accurate Redshift Space Distortions (RSD) measurements, being superior to other experiments at lower redshifts, due to the large number of galaxies. Cross correlations of the galaxy redshift data from the SKA with radio continuum surveys and optical surveys will provide extremely good calibration of photometric redshifts as well as extremely good bounds on modifications of gravity. Basing on a Principle Component Analysis (PCA) approach, we find that the SKA will be able to provide competitive constraint on dark energy and modified gravity models. Due to the large area covered the SKA it will be a transformational experiment in measuring physics from the largest scales such as non-Gaussian signals. Finally, the SKA might produce the first real time measurement of the redshift drift. The SKA will be a transformational machine for cosmology as it grows from an early Phase 1 to its full power.enBased on the open access philosophy proceedings published on PoS can be read free of charge. No subscription nor registration is required of readers. This article can be accessed at http://pos.sissa.it/archive/conferences/215/017/AASKA14_017.pdfSquare Kilometre Array (SKA)GalaxiesCosmological experimentsBaryonic Oscillation (BAOs)Redshift Space Distortions (RSD)Principle Component Analysis (PCA)Conference Paper