I emailed a Professor 2 months before the deadline. All I got was a neutral reply "thanks for contacting me and being interested in my research! It is great to hear that you are excited about that area.
Regarding your question of becoming a PhD candidate, I really appreciate you being interested in my research! In general I do NOT have open PhD positions at the moment. But you go through the admission process first. A committee makes the decision regarding admission. I hope this information is helpful"
Now that I have submitted my application, I feel that I should inform the Professor about this just to remind him about my profile/previous email. However, I am not sure what to mention in my email beyond the following
"I just wanted to let you know that I have submitted my PhD application for Fall 2020 admission. I hope that the admission committee will select my application......."
Any ideas regarding what I can mention in this email.