Relationship can be salvaged?

[LoveBird89]

Hi all, Im new to this community because I never though my heart would be crushed so much. Anyways heres the story. I had met this girl 2nd semester because she why my teaching assistant for my genetics 313 lab and she talked to me but had no idea she liked me. I took summer school in May-July and she ended up telling me she had a huge crush on me and I had no attraction for her or feelings. One night in June she kissed me and I told her I wasn't interested in her. The next night I ended up giving it a shot and had feelings for her but wasn't that into it. After about 2 weeks I wanted to break it off with her multiple times and I just couldn't get myself to do it. I was planning on breaking up with her because I was worried what my friends would think. Anyways I left to go on vacation for about 10 days and thats when I really realized that this girl was amazing. Anyways 3 months down the road she started breaking things off with me. She's broken it off 4 times and gotten back, but I feel this time is for good. She's very impulsive with her breakups, she doesn't take the time to think about it before she breaks it up. Anyways, If she broke up 4 times, does that mean she still has feelings for me? She still wants to be friends. Also she told me through texts that she lost interest in me and has no feelings but she keeps coming back to me. I really bothers me because going into the relationship in the first two weeks she told me that I make her feel better than any of her ex's have EVER made her feel. She hold almost slipped and said the L word but ended up saying "Im in Like" with you. We had sex 4 days after we started messing around. She also claims the sex is what ruined the relationship and she never does that. So wouldn't you think she would've been super attracted to me for her to break those morals? It hurts so bad because I went into just trying this thing out with just kissing her and had no intentions of dating but she was head over heels for me and the outcome completely flipped. Im in love with this girl and her feelings aren't the same for me. What do I do to salvage this? Im in college, Im a very good looking guy and a true gentleman but should I just stay friends with her until she develops feelings again. She also told me Im out of her league . Everytime we were separated for more than 5 days she wanted me back. I think I need to make her realize that Im fine without her so she wants me back. I don't think getting back together right away was a good idea I should've made those feelings more strong by not being around her or with her. Whats your opinion on this? Can it be saved down the road, she's graduating from college in December.