I am wondering whether it is worth asking your advisor for a recommendation letter to transfer right away (*).
Background: I just finished the 1st year of my math PhD and will reapply to transfer to a different university. I'm already at the point of picking an advisor. I've done all courses and qualifying exams, so in my 3rd semester I'll do the oral exam and start writing my thesis.
I narrowed the advisor to 2 options. The pro of the 1st is I've done enough work that future research will be faster, the con is (*). What I've done with the 1st: reading course, research, paper ready to submit, 2 more papers in preparation. What I've done with the 2nd: 2 courses last year.
I plan to continue in academia, so staying at my current university is not an option. However, I won't let the next year go to waste. If there is any research left to be done when I leave fall 2024 for another university, I will finish it in the form of published papers since you can't do a thesis twice. Lastly, I have to ask for a letter because it will be the strongest letter and letters are the most important part of graduate applications, so hiding transfer plans is not an option.
There are 2 similar questions, but both do not cover the advisor choice aspect. Unlike those questions, I am already set on both transferring and asking for a letter, this question is about whether to choose a different advisor.