I'm a math PhD student in my final year. A few years ago, a very well-known emeritus professor in my department offered to co-advise me. I initially accepted due to their strong reputation and past contributions to the field.
Over time, however, I realized that the professor is no longer able to contribute much mathematically. Most meetings involve general conversations or life advice, and on our two joint papers, I did all the mathematical work while they only edited the text. In another collaboration they invited me to join, the project seemed extremely elementary with no clear depth or direction, so I quietly withdrew.
Since then, the professor has continued to try to pull me back into that project, giving various justifications. While I respect their dedication and persistence to stay active after retirement, I feel it’s not productive for me. I'm now mostly working independently and have more defined research goals.
What's more concerning is that the professor seems unaware of these limitations. When papers are rejected, they often express frustration with referees rather than reflecting on the paper’s quality. It feels like they're seeking students not to mentor but to do the work for them.
While I respect their persistence to stay active, I worry this dynamic isn't good for students—especially younger ones who may feel pressured to say yes because of the professor’s name.
What’s the best way to respectfully disengage, and should departments be more proactive in setting expectations for emeritus faculty involvement with students?