What it is, and who made it
Getting Things Done is the method David Allen published in 2001 (revised 2015), built on one observation: your head is for having ideas, not holding them. Everything that has your attention, from a client deliverable to a dripping tap, is an open loop, and unclosed loops leak attention whether or not you are working on them. The method's answer is five steps: capture everything into trusted places, clarify what each thing actually is and what the next physical action would be, organise the results into lists by context, reflect on the whole system regularly, and engage with the action you chose. The canonical source is Allen's book and gettingthingsdone.com.
Two of its inventions became infrastructure for everything that came after: the capture habit (write it down the moment it lands, sort later) and the weekly review, the standing appointment where you empty the inbox, look at every list, and re-decide what matters. Almost every serious system since, digital or paper, is running some descendant of those two moves.