I am currently a 4th-year PhD student in Theoretical Computer Science, expected to graduate next year.
Since I end up finding more questions I'd be interested in solving that time or brainpower to actually solve them all, I am maintaining and keeping for myself a list of research problems I'd like to solve at some point, or see solved.
I have mentioned a few of these questions to friends or during open problem sessions in workshops, and currently this list is hidden somewhere on my academic website for ease of access.
Some of these problems, I really would like to see them solved, and I fear that I may not have the right set of tools or sufficient insight/intellect to achieve it by myself. Ideally, I'd love to see someone get interested in them, and possibly start a collaboration leading to a solution. But I'd hate to see these questions get buried and forgotten, fading into oblivion without ever being addressed — just because I kept them to myself.
What are the pros and cons of making this list actually public? I am specifically thinking along the following axes:
Research: while I suppose advertising problems I deem interesting can only be good for the field I am in, is there any downside?
Short-term interests: I like these problems, and I do believe at least some of them are good ones. I'd be rather sad if some other people methodically solved all of them without me, although it's a bit selfish of me. Especially if I do spend some time on some of them before my graduation -- I only have that much time left to get new results and consolidate job applications for postdocs.
Long-term interests: Sooner or later I'd like to have a position in academia, and who knows even advise students. As far as I can tell, being able to suggest research ideas taylored to a student's interest is a big part of the job. Should I try and keep as many as these questions as possible in case I may need them sometime for this purpose?