25-female looking for a room in Manhattan

Hi! I'm Elena, a 25-year-old PhD student at Columbia University. I'm looking to move to a room in downtown Manhattan in order to have greater access to the city and what it has to offer culturally and in terms of entertainment. I enjoy reading, going to galleries and museums, writing, traveling, and discovering new bars and restaurants. My budget is $1,400 max, though I'm willing to potentially discuss higher prices if the place is really good. Please reach out if you have a place that fits what I'm looking for!