I am asking this question for two reasons: first to work on activities to strengthen my CV for the future, and second to write a plan for professional development activities as part of a grant proposal.
What non-research related activities are most valuable to have on a CV when applying to permanent faculty positions at research-focused universities? For example, how valuable is it to have experience working with graduate students, organizing conferences/seminars, etc.?
I am a pure mathematician, hoping for advice that can apply to both European and American jobs. I currently am working on my second postdoc, although my first one was only six months long. I had to take some adjunct teaching positions here and there as well, so I have a decent amount of undergraduate teaching experience. I have a limited publication record however (one thing I know I need to work on).