I'm a Masters (Physics) student from India and I am looking to apply to the UK and Europe for a PhD for Autumn 2022. I am making a list of people I would like to work under. In doing so I have a few questions. I am set to graduate from my Masters in April 2022 and will have a thesis dissertation by then (which I have just begun work on).
Approximately at what point should I start emailing them to see if they'd be interested in considering my application (interview/submitting grades, transcripts etc). I would like to have at least my grades for this semester with me - which I will receive around early December. Would that be too late? I have seen a few funding deadlines in the UK around January. The reason I'm apprehensive about emailing now is because my second semester grades are quite bad (I'm in my third semester now). I've had a very good academic record throughout my Bachelor's (9+ CGPA /10) and my first semester of the Masters was also good (8.4/10), but thanks to Covid and having to move across the country in the middle of the semester, my second semester did not go well and so my overall CGPA dropped (7.67/10). I'm confident I will improve by the end of this semester. My Master's is also at a much better ranked university (Top 5 in my country) but I am not sure how much this will help offset the drop in grade.
If I am emailing professors, do I need to include all my details (scores, SOP and so on) in the initial mail itself, or can I just send an inquiry, with my CV and maybe mentioning a one or two of their papers which interests me.