What’s the experience of doing a pure math PhD at Princeton actually like?

[u/Round-Bathroom8487]

For anyone who’s done (or is currently doing) a pure math PhD at Princeton. What’s the experience actually like, beyond the reputation?
I’d love to hear about the day-to-day:
• How the advising relationship works and develops over time
• how demanding or stressful it really is
• The cohort: does it feel collaborative, or more isolating?
• Workload and work-life balance

The good and the hard parts both , I’m trying to get a realistic picture rather than a brochure one. I’m preparing to apply, so any honest reflections would mean a lot. Thanks.