An Integrated PhD provides a route into research study if you do not have a Masters degree, or have very little research training. It enables you to spend your first year completing a Masters-level qualification, followed by a full-time PhD studied over three to four years. We also offer a ‘standard' PhD in this subject which can be studied either full-time (three to four years) or part-time (six to seven years). Game theory, with roots in mathematics, statistics and economics, is routinely applied to understanding and predicting human behaviour. Problems of protection of digital information against piracy are closely related to aspects of set systems. And the RSA cryptosystem, used on computers all over the world, depends on classical results of number theory. In your first year of our Integrated PhD Mathematics, you study many aspects of discrete mathematics and their potential use in practice, and provides you with options in optimisation, machine learning, data mining, and statistics.