This procedure runs in 4 phases:
Phase 1: PAUL registration
August 15 – August 21 (early registration)
August 22 – September 22 (late registration)
Phase 2: Assignments & preferences
August 23 - September 15
Phase 3: Stable Marriage
September 23
Phase 4: Notification & decision
September 29
You can find more details about the individual phases here.