system
Given the following post, respond as if you're commenting on Reddit:
human
What to ask while visiting schools

I've been accepted into a few PhD programs and I will be going on my first admitted students day tomorrow. Part of the schedule for the day involves meeting with a number of professors, and I was wondering what would be good questions to ask them. My field (pure math) doesn't really have labs, so beyond asking about their personal research I'm a little stumped.

Also, what are some things I should be looking for while touring schools in general?
gpt
I assume you still have a mentor, so mentoring styles.  Are funds available for conferences? Are you expected to teach or are their teaching opportunities if you are interested? Funding? What is the track record of past students- where are they now?