I am fortunate to have suffered relatively little sexism. Interestingly, however, the reason I suffered so little is because my advisor was overtly sexist.
I had my children during graduate school. Many professors questioned whether I was really going to “stay in philosophy.” One senior woman looked at me thoughtfully and said a department might be okay hiring me because I’d already had my kids and therefore (presumably) would not go having kids on their time.
My advisor, who until I’d started having children had been reasonably supportive, absolutely turned on me. He would ask sneering questions such as “When are you going to give birth to a paper?” He made it clear that he thought by having children, I’d shown I wasn’t serious.
Finally, I got sick of it, and switched advisors. My new advisor couldn’t have been more supportive. He was awesome. I know I wouldn’t have written nearly as good a dissertation as I would have otherwise, nor would I have gotten as much career help and advice.