My institution allows me to pursue MS Thesis with a teacher from any other institute, I have interest in a topic and want to do my thesis in that. There are many researchers in different institutes who work in that topic.
My questions are:
How do I approach a teacher in a different institute regarding this. How to make someone help me with my MS thesis and ask them to be the guide when we are not even in the same institute?
The topic I am interested in is quite vast. I am interested in certain aspects of it, each aspect being an independent research area. But I am also open to other aspects in the field which the professor might be working in. I am not sure which aspect to pursue, I can suggest some, but the teacher might not be interested in it. So how do I ask them to not only just be my mentor but also suggest and take my input and my interests in that field?
For example: Suppose a field A has subtopics X , Y , Z and each somewhat related to each other. I am interested to explore Y and have some experience in Z. But I also like X. Overall I like the field A. I find a professor working in field A, and I suggest them to guide me for topic Y, but they say that they are currently working in X and I can work in X too. But then it may appear that I am not clear about what I need to do.
So how do I approach them so that I can get them to my guide but also listen to what I am interested in, and in the end we can come to a middle ground. I also want them to suggest some topics which could be interesting for research in the field and they are willing to do it?