Measurements of top quark production cross-section at ATLAS

Measurements of the inclusive and differential cross-sections for top-quark pair and single top production cross-sections in proton-proton collisions with the ATLAS detector at the Large Hadron Collider (LHC) are presented at centre-of-mass energies of 8 TeV and 13 TeV. These measurements reach high precision and are compared to the best available theoretical calculations. The differential measurements, including results using boosted topology, probe our understanding of top-quark pair production in the TeV regime. Differential measurements with additional jets enables the study of effect of gluon radiation, especially the measurement with additional heavy flavour jets provides test of multi-scale QCD calculation. Interference of top-quark pair production and single top is investigated, and the single top production cross-section in association with a $Z$ boson is measured. Measurements of the properties of the \textit{Wtb} vertex in single top-quark production allow to set limits on anomalous couplings.