I am fairly new to the AdSense thing, but I would start by looking into the warning you recieved. Having your ads displayed on pages with mature content *is* on the list of things that will get your account disabled. If you put AdSense on something you are posting yourself, go though and make sure you didn't post anything offensive/mature.

I agree with Peter- trying to just move your account to someone else's name will not solve the problem. Your ads will still appear somewhere with mature content, so you need to find it and remove it.