I graduated with a first class honors in dual degrees (bachelor of electrical engineering and mathematics) from Australia and would like to study for a phd in USA.
One of my dreams is to work on a specific open problem in control theory for my phd. I got a WAM (weighted average mark) of 95 (out of 100) for my dual degree.
Is it unrealistic to state in my statement of purpose that I like to work on a specific open problem in control theory? and would it have any negative effect on my admission?