In the late 1970s, Vera Rubin showed that the flat rotation curves are ubiquitous in local spiral galaxies, and concluded that it is due the presence of invisible matter, the so-called `Dark Matter'. She remarked- "galaxies are surrounded by a dark matter halo that extends much further than their visible matter". These observational results were later supported by theoretical models of structure formation. Recent observations of high redshift galaxy rotation curves show remarkable differences in dark matter profiles compared to the local Universe. Therefore, there is an urgent need to repeat the `classical' observational study of Rubin et al. at high redshift with a large dataset.In this book, I have shown that dark matter is ubiquitous in star-forming disc-like galaxies at z~1, as well as extended the classical work to study the redshift evolution of dark matter halos. I have shown that dark matter halos have smaller and denser dark matter cores at z~1, which suggests that the predictions concerning the transformation of cusps into cores, which are observed in hydrodynamical simulations, indeed occur in nature.
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