stay on top of
US /steɪ ɑn tɑp ʌv/
UK /steɪ ɑn tɑp ʌv/

1.
to remain informed about something; to keep up to date with something
:
•
It's important to stay on top of current events.
•
She always tries to stay on top of her emails.
to remain informed about something; to keep up to date with something