Emailing supervisor after applying for phd to discuss about research problem and funding
Hope you are well.
Okay so since you have already applied to the program as per your supervisor - You can reach out to him through email to let him know that you have applied to the program and you will be keeping him in the loop in case of any updates. Along with this you can then ask regarding the research question and its specifics - Make sure the email is not too long though.
Also, and you may find different people with different opinions on this - I would advise not to bring up the funding question in the first email - if he replies to your email you will be sending after admission submission - only after that you can go for the funding question.
Saying this because certain times supervisors do not have funding readily available and are always looking for students that are self-funding because that is in their favor ofcourse.
Hope it helps - Let me know if you need help with something.
Thanks.