Yo Stavorgin,
First of all, kick that pedestal out from under that chick. That way, you two can look each other in the eye like human beings. Although, preferrably, you need to think of yourself as higher than her----ALMOST like you're doing HER A favor by gracing her with your presence.
After all, YOU know what a great guy Stavrogin is----but SHE doesn't----YET. lol But before you even approach THIS chick, the first thing you do is IMMEDIATELY go on a mission to holler at MORE women that are just as attractive. Trust me...on a campus, I'm SURE they're out there. Having these other options will help you NOT overestimate the IMPORTANCE of this one chick.
Now, after you mentally and emotionally pull the make-believe wings off your little campus angel-babe by STOPPING all fantacizing about her, you are now ready to make your approach. Since this seems to be a chick that you HAVE, or WILL be getting a chance to see often, DO NOT put any undo pressure on yourself to do too much too soon in regards to getting this babe on lock.
What you do the next time you see her is open your eyes and your ears---but CLOSE down your emotions (to some extent). What you do is let the situation dictate WHAT you choose to talk to her about. Look for something of commonanilty to the experience you're both having, then ask her a DIRECT question about what's happening around you both.
And when you engage her, think of her the same as you would an immature friend of your little sister that you already KNOW secretly has the hots for you. That's right, soldier, what I want you to do is ASSUME this chick ALREADY likes you---and that she has just been WAITING for you to approach her.
This mindset will boost your confidence and relax you. It will also remove the imaginary HIGH STAKES that you THINK you are gambling for when you are simply about to MAKE HER ACQUAINTANCE.
People like to talk about three things primarily:
1.They like to talk about themselves
2.They like to talk about other people
3.And they like to give their opinions on something. No----ANYthing! LOL
Use these three examples as your guide. Make the conversation about her, but not in an overtly complimentary, or ass-kissing way. Just let it flow naturally and always think of yourself as ABOVE IT ALL. Be inventive. Stay light on your feet during the conversation. Make eye contact with her and KEEP it long enough to communicate to her that you "WANT TO FUKK THE SHYT OUT OF HER", but WITHOUT actually saying it.
Smile. Be masculine. Lead the conversation, don't let her get away with one word answers----the best way you can do this is by asking open-ended questions like "Why do you think this _______ is so full everytime we come here?"
Don't ask ANY questions that she can say just YES, NO, MAYBE, or any other one word response to. DON'T ask her questions like "What's your major?", unless you plan to IMMEDIATELY follow it up with an open-ended question like "What do you like about _______ , and what made you choose it?"
Above all, IF she starts asking YOU questions, then this is a good sign, and MIGHT mean she's interested in getting to know YOU. If the conversation flows, KEEP it flowing, then try to pick up vibes from her body language.
Is she turned towards you, does she stand close to you, or does she turn AWAY from you and put distance between the two of you?
There are PLENTY of nonverbal cues (as I'm sure you know), that will tell you if this chick is either digging you at this point, or just ready to DITCH you. So judge by all these signs, and if you perceive you're getting some pretty good buying signals----ask her out for coffee or something after, or inbetween classes the very SAME DAY you engage her in conversation.
Sure, you COULD always just ask for the number like ANY OTHER horny campus guy, but WHY? There's always a danger that you could be lost in the shuffle of multiple guys, so to ME, the better play in YOUR environment is to make as BIG an INITIAL impact on hot chicks as you can.
You want to stand out from the crowd by showing casual confidence by asking her out to coffee to continue your pleasant conversation JUST WHERE YOU LEFT OFF. Not MANY college guys have the BALLS or the smoothness to pull off some shyt like that...but STAVROGIN does!!! lol
You'd be surprised at how many times a guy gets the MOON (which is all he ACTUALLY really wanted in the first place) because he was CUNNING enough to ask for the SUN instead! In other words, sometimes, the best way to get the NUMBER is to ask for the date.
Heck, EVEN if she doesn't go for the lunch, THEN you could ask her "Well, is there some way we can continue to get to know each other rather than just by HOPING we run into each other at ______ every other week???"
Then just shut up and smile, and see how she responds. Whether her response is positive or negative, THIS will let you know if she's really interested in you or not.
So you see, it's not always wise to WAIT in situations like this IF the chick is digging you----strike while the iron is hot. And if she accepts the "coffee date" you can ask for the number ON THE DATE itself (if she doesn't just offer it to you UNASKED).
Above all, DON'T stress into thinking you have to shoot, score, and win the WHOLE game on just your initial approach. Because you KNOW you will see this chick again, you'll have opportunities to turn the heat up on this one over time, if you choose to-----and IF it's necessary for you to even use that strategy.
Again, let the conversation fit the circumstance, and let HOW FAR you advance on her be determined by the level of interest you feel she's showing YOU in return.
March on!