I'm in science and my supervisor's explanation was that many uni's will come to some arrangement (ie - share the spoils with the student) if there is a discovery that could lead to a patentable invention. If you haven't signed the rights away in your contract you could hold the IP, but what would you do with it? Certainly in terms of patenting the costs are way beyond the individual, a lot of universities don't even have the resources to patent their discoveries. In my field, unless you can sell your idea on to a substantial company, you'll probably get little out of your find. Both my supervisor's hold patents, but I know they've yet to make a bean from them directly.