The so-called fellowship was different from scholarships. Not only did it covered accommodation fees and tuition fees, but it also gave students a certain amount of living expenses for personal consumption.
As such, the competition for a fellowship was fierce. In addition to requiring higher academic grades, foreign applicants were also required to provide a domestic school transcript, recommendation letter, and a personal essay.
The prize amount varied amongst different schools and different people. The payment method would even be divided into yearly, monthly, or quarterly payments.
Princeton's fellowship prize was one of the most difficult prizes to apply to. Especially for a PhD position. However, for a winner of the Cole Prize in Number Theory, it was not a problem.
After all, Lu Zhou himself was qualified enough to write recommendation letters for other people. Not to mention, his mentor was Professor Deligne.
