I am an undergraduate student applying to graduate schools. I tried to get in touch with a potential Ph.D. supervisor (in Electrical Engineering) but haven't heard back from him. In my application portal, the question asks me if I have already connected to a potential mentor, is it appropriate for me to write 'I tried to contact Dr. X, but haven't heard back from him.'?
If I am really interested in this professor's research, can I still show my interest to work with him on my statement of academic purpose (SAP)? Should I also include the name of another professor, in case Dr. X is not interested in my background? Thanks for the suggestions!
PS: The email I sent to Dr.X was just a few days ago. I could follow up a message, but it's close to the deadline of the application (12/15), so I'm not pretty sure what I should do.