stay abreast of (someone or something)

1. To remain alongside someone or something. Charlie finished the race in second place because he could not stay abreast of the winner. Try to stay abreast of the ship until we have a chance to board.

2. To remain closely informed about someone or something; to follow the developments of someone or something. There are so many software vulnerabilities that it's difficult to stay abreast of them all. It's my job to stay abreast of various film and television celebrities and then write about them in our paper's weekly gossip column.