I had a meeting with a well respected professor to discuss issues in the research field (biomedical engineering) I am interested in. I am not seeking to do a PhD with him as I intend to go overseas for my PhD studies. During the meeting I asked him in depth questions about why things are the way in the field, and received good answers. He also suggested potential PhD advisors in the research field who are doing good work. I felt the meeting was productive and he may have a little impressed with me (knowledge of the field).
At the end of the meeting he suggested that he could write a letter of recommendation for me, because he knew all these professors.
However I had not done any research with him. That meeting was the first time I met him and my only interaction with him.
I mentioned this to him and he said, that's ok, he can still write a letter of recommendation based on my resume and transcript.
My question is will this letter of recommendation be helpful? Is it a good idea to submit this as a 4th letter of recommendation? Is the worst case scenario that at most the letter just counts as nothing?
Some additional information:
- I have funding for my PhD studies
- I am tangentially related to this professor, he was the boss of my supervisor, but he has sinced moved away and that was the first time I met him.
- I may only have 2 good letters, from people I did research with. The third letter is from my programme tutor