Scholars agree that Antiochus of Athens lived during the 1st century BC and after the death of Porphyry.
Franz Cumont and others have argued that he lived as early as the 1st century BC, while David Pingree placed him as late as the end of the 2nd century AD. 
The one agreed datum is that Antiochus is referenced by Porphyry (234-c. 305 AD), and so Antiochus must have lived before the death of Porphyry. 
