The production of a single top-quark in the so-called t-channel has a relatively large cross-section. Differential cross-section measurements test the modelling of such processes and allow the measurement of the CKM matrix element |V_cb|.
A number of tools exist to go from a measured distribution, which includes detector and resolution effects, to the underlying theoretical distribution. Such tools are called unfolding. Recently, a technqiue called profile likelihood unfolding has been devleoped using the same fitting package (TRExFitter) that is used in many ATLAS analyses. This enables studies of systematic uncertainities to be made using the same methods for both total and differential cross-sections, easing measurement of differential cross-sections. In the thesis, differential cross-sections using the full ATLAS Run 2 data set should be measured using TRExFitter.