I'm writing a statement of purpose for my PhD applications and in some cases I'd be very happy if any person from a certain group (say the Algebra Group) would take me as his/her student. Could this be considered a weakness in my application? How should I handle this?
I've been researching people and groups for over 4 months and I know (as much as I can right now) what I want to do and who does it. It's just that some universities and programs have some amazing faculty.