What is the most logical next event?

How to get a guy to break up with his girlfriend and hook up with you
Keep communication going.
Try to talk to him more than he talks to his girlfriend. If he talks to his girlfriend once a week, then text/talk to him every 2 days.
Keep the juices flowing and don't bore him. But don't become too obsessive with him or he might feel like he's being suffocated.