<p>PtonGrad2000,
Thank you for the list. However, it’s not totally clear how it translates to the current state of education in the math department.
Do undergraduates receive a lot of attention from faculty?
Are faculty approachable? Or students are mostly left to their own devices?
Do faculty involve undergrads in their research?
How common it is for undergrads to do research during the academic year and during summer?
Is it easy to get funding for summer research?
Do any undergrads travel abroad to study math or do research?
Is there work study opportunities for undergrads at the department (e.g., grading problem sets, tutoring).
In general, what is the culture in the department? Is there collaboration among students?
What else can you think of that could help an aspiring mathematician to make an informed choice between Princeton and Stanford?
Please, any math major, if you could answer some of the questions, this would be very appreciated.</p>