I recently completed a MSc. I would like to start a PhD. I would like this to be at an institution that is different to where I did my MSc. I have reviewed the academics in my area (London) and several are doing research in the area I'd like to focus on.
I would like to send a "Thank you" email to my MSc supervisor. Would it be appropriate to mention that I'd like to do a PhD with supervisor X or Y at institution A? Or would it be expected that I'd ask my MSc supervisor for PhD positions with him first etc.?
In the same email I'd also want to ask him if he would be interested in getting a paper out of my MSc thesis - me doing most of the work there. Would this be appropriate too?