I am applying to a PhD program. I worked in the past with researcher A from research team T who was my bachelor thesis supervisor. Now, I am applying to a PhD progam within the research team T and also to another universities.
Researcher A would be a perfect candidate to ask for a reference letter, since my internship under his supervision went really well. However, I am wondering whether or not it would be appropriate to ask him, since I would use it to apply to other universities (he would know that of course).
- I already applied at team T and am waiting for news.
- A is not the team director but the team is quite small and A knows I applied there.
- A is not the one who would supervise the PhD I applied to.
I am afraid that asking him for a reference letter could make him think that I am not that much interested in that lab L and that this could have a negative impact on my application at this lab.