Same class ,same vibe ?

So there's this girl in my class ,it's been 3 months since the uni started We've got similar tasted be it music ,drip or shoes .

She followed me on my Instagram and stuff ,chatted for a bit over and hour but it didn't escalate much . IRL ,we don't talk

We keep throwing glances at each other but never approach one another . How can I proceed?

I wanna keep stuff casual and slow cause I got out of a long term relationship month ago .