keep up withidiom
Definition of keep up with
1 : to go or make progress at the same rate as (others) : to stay even with (others) in a race, competition, etc. The other runners struggled to keep up with the leader. He found it difficult to keep up with the rest of the class.
2 : to continue to know the newest information about (something) I find it hard to keep up with the news.
3 informal : to continue to talk to or write to (someone) She still keeps up with her old friends from college.