I'm interested in the cultural norms of my field (pure math, in US academia) though of course all answers are welcome.
I'm applying to graduate school, and noticed that the personal websites of several current students at top PhD programs include a small list of other top graduate schools they got into but did not attend. For instance, at the bottom of the student's website, it says "PhD student at X school; turned down offers from schools A, B, C (with prestigious fellowship Y), D, and E".
I'm curious whether this is standard and proper. I was personally somewhat taken aback upon seeing this, as it felt a bit cheap to use the prestige of a school you don't even attend to make yourself look better. However, I can see how this would look impressive on someone's resume (at least early in the student's career before they have more serious publications/awards to speak of).
One case where perhaps it would make sense for a student to do this is if the student chose a relatively lower-ranked program over some higher-ranked programs, for personal reasons or because of a specific professor.