if you are attracted to her, and interested in getting to know her better, i'd ask her if she'd like to study with you some random day.
then one of the times you get done studying (hopefully you can arrange it so you are studying BEFORE dinner time), you can ask her if she'd like to get a bite to eat with you.
it sounds to me like she likes you. maybe you are reading the wrong signals, but to me it sounds very clear. it should be pretty straight forward if you put a bit of effort into it. just make sure you never act desperate, needy, clingy, or like you dont have a lot of confidence. these are all mega-turnoffs and will nuke the relationship before it ever had a chance to grow.
'leading' is also important. try to take the lead when you can. i think most girls are naturally attracted to this.
also, try to touch her. obviously not innapropriately, but you need to make physical contact to show her you arent afraid of cooties. touch naturally escalates a relationship a LOT, so this is paramount if you want to end up with her.
i'd do some research bro. look up any of the aforementioned suggestions for further details on how to go about doing them. theres a ton of good information about all of it if you just look a little bit. obviously dont listen to everything you hear (some information is garbage), but you can really learn a lot if you know what to look for and what to pull from things.