When is the goalkeeper not allowed to pick up the ball?

Answer 1

A goal keeper may never use their hands outside of their own penalty area.

A goal keeper may not use their hands, even in their penalty area, when a team-mate deliberately plays the ball to them with their feet.

A goal keeper may not use their hands, even in their penalty area, when a team-mate directly throws the ball to them on a throw-in.

Answer 2

When their are outside their own Penalty Area.

When their teammate passes it to them deliberately with their feet.

When their teammate directly performs a throw-in to them.

After, after having possession of the ball in their hands, they release the ball. (dribbling doesn't count)