Measurements of top quark production cross-sections with the ATLAS detector

The LHC produces a vast sample of top quark pairs and single top quarks. Measurements of the inclusive top quark production cross-sections at the LHC have reached a precision of several percent, and test state-of-the-art QCD predictions. This review describes several recent ATLAS top-pair cross-section measurements at different centre-of-mass energies, as well as a recent combination of Run 1 measurements from both ATLAS and CMS, and the latest ATLAS $s$-channel single top production result with the full Run~2 data sample.