Thanks for the note and for your interest. The best way to proceed would be for you to apply to Berkeley through the normal procedure. At UC Berkeley, first-year students without other forms of funding are typically supported by departmental fellowships – this gives students the opportunity to get to know the faculty and projects within the department before comitting to a particular research group. Because of this, I typically like to work with a student for a semester or so before I officially accept them into my research group – again, to give us both the opportunity to get to know each other better. So, when/if you are admitted to Berkeley, I’d be happy to chat with you some more about potential projects.
Best of luck and looking forward to reading your application,