Ideal answer may be "both", but I need to clarify this question.

While there are many ideal characteristics for a guide (or supervisor), for a student, and the pre-requisites, ultimately the research topic for the student holds the key in timely completion. In the case of some extremely bright candidates, they themselves come up with a research topic and inform their guides - "I want to work on the problem X..., can you guide me?" In the case of other candidates, they may have identified only the field of research, but not the specific problem, and they may request the supervisors to give them choices of topics, and they may choose the one that suits their interest (for fast completion). We have also a third category of students, who identify the guide first, undertake courses offered by the guide to learn his/her areas, and then let guide decide the areas/problem also. "Whatever topic you give is fine with me, Sir. I shall work hard to complete it." This is said by the students at the time of registration. In my personal experience, my guide (late) Dr. Byrnes offered me two areas - "Control Systems Dynamics or Control Systems Design", and I chose the second one "Design". This led to my doctorate on observer design for Morse-Smale systems..

Your views are welcome on this topic! Best wishes, Sundar

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