I discovered this link years ago and enjoyed reading accounts of math learners about what they knew at the beginning of their graduate studies.
"This page is maintained by Alison Miller," who just happens to be the first United States woman to win a gold medal at the International Mathematical Olympiad.
http://www.math.princeton.edu/graduate/generals/
I discovered this link years ago and enjoyed reading accounts of math learners about what they knew at the beginning of their graduate studies.
"This page is maintained by Alison Miller," who just happens to be the first United States woman to win a gold medal at the International Mathematical Olympiad.
The report of Kiran Kedlaya
http://www.math.princeton.edu/graduate/generals/kedlaya_kira...
(which will be a familiar name to some readers here) is laugh-out-loud funny.