Not Manhattan. Outside of Central Park there's not much green space at all. Midtown south, Flatiron, Downtown, etc have nothing! They may have paved urban parks but there's simply not enough green space per person, and that's a choice they've made historically based on greed. People need accessible green space for use on a daily basis near their homes, not requiring long subway rides back uptown to Central Park.
Columbia U is pretty far uptown, not midtown. Small pocket parks don't really cut it, people need to be able to go for walks under trees and maybe a sporting field or two.
I am well familiar with my old stomping ground Madison Square Park. Not what I'd call a proper park by any means. It's a series of benches around a lawn. Nice to sit and people watch, but that's about it.