Writing is so wrapped up in ego, but with math one is just trying to get it right, although you're often wrong. I think math helped me become a good critic of myself, come at writing a little less personally.
All forms of power - even based on the consensus of the democratic system - react when they are being attacked, or when those who exercise power become a target.
I'm playing one of the principal roles, which gives you more clout and more confidence.