Charged particles gyrate around magnetic eld lines, a property that is exploited to con ne plasma in magnetic con nement fusion devices. Typically, the gyroradius is small compared to the system size and thus the gyromotion can be averaged out. e resulting charged particle motion closely follows a magnetic eld line. At the edge of fusion devices, the magnetic eld usually impinges on a wall at a shallow angle. A boundary layer forms in which the plasma density changes over a characteristic distance from the wall of the order of the ion gyroradius, as ions are absorbed during their gyromotion.is boundary layer is called magnetic presheath, and is typically collisionless and quasineutral. Importantly, the electric eld in this region distorts the ion gyro-orbits, making them non-circular and thus a ecting the ion density pro le. Solving the magnetic presheath amounts to obtaining the self-consistent electric eld for which the net charge density is zero.In this thesis, I assume a small magnetic eld angle and small gradients parallel to the wall to develop an asymptotic theory for the magnetic presheath, which is used to obtain the ion density. e small, yet crucial, contribution of the part of the orbit near the wall is included. To demonstrate the theory for a case without any gradients parallel to the wall, I calculate numerically the self-consistent electrostatic potential by assuming the electron density to be a Boltzmann distribution. e model is used to study the dependence of magnetic presheath characteristics on magnetic eld angle and ion temperature. e distribution function of ions that have traversed the magnetic presheath is obtained, which is important to predict the amount of spu ering and erosion at the wall of a fusion device. I cannot thank enough my PhD supervisor, Felix Parra: in these four years, he has been able to simultaneously motivate, encourage and teach me in the best possible way. I also thank my co-supervisor at Culham Centre for Fusion Energy (CCFE), Fulvio Militello, for his contribution and support.Several people have given me feedback about my work. I thank Greg Hamme , Paolo Ricci, Dmitri Ryutov, Paul Dellar, Chris Ham, John Omotani and Ian Abel for discussions and comments. I am especially grateful to Paolo for reading this thesis with genuine curiosity and for giving me valuable advice.Together with Felix, Alex Schekochihin, Michael Barnes and Steve Cowley have created the perfect research environment in the Oxford Plasma eory group; I thank them for this and for their continuous feedback. Especially Alex, who not only read this thesis but has also been like a mentor.During my time in the group, I am lucky to have bridged two "generations" of students and postdocs: the "Lads on Tour" Justin, Michael F, Ferdinand and Marek; the "Plasmaniacs" Nick, Michael H, Adwiteey, Valerian, Plamen, Jason, Ollie, Mantas, Yohei and Adnane. I have enjoyed spending my days with them, as well as conferences (tours) and ping-pong games.A number of people have made my time at Oxford special. I thank all of...