You're not supposed to be drinking (or at least limit your drinking) when on lamictal. Honestly, having bipolar is a good enough reason to limit your alcohol consumption just because it can mess with your moods.
I'm at university too and even though I don't go out and party much, it does suck when my friends go out and I can't drink but honestly I'm WAAAY better for it. If I drink I get depressed for a week lol, especially on lamictal!
I've actually tried coming off lamictal and it was impossible lol. I cut down by 25 mg and the next day I felt soooo depressed. I could barely move and I couldn't function properly at all. I'm going to try again at some point with the help of my pdoc because I also don't feel like it is helping me.
Talk to your doctor and insist that you want to come off. It might help to compromise with her, maybe suggest you try something else if it's not working for you? There is no point being on a drug that does nothing for you.