To raise new questions, new possibilities, to regard old problems from a new angle, requires creative imagination and marks real advance in science.
Ask what do you want now, to free yourself from thinking about the limitations of the technology and let your imagination take you to what things do you want to have done, what problems do you want to solve.
Engineering is that base qualification that can take you anywhere.
Math is the language of the universe. So the more equations you know, the more you can converse with the cosmos.