I found the comments on this article relevant to your inquiry: https://www.newhavenindependent.org/article/yale_building_projects

Yale is bustling with new developments, but none are housing. Makes me think it’ll be more expensive to live here in the future, and the Yale-affiliated folks will be an even larger part of the population. I teach high school, and many of my students will follow a trajectory somewhat like yours, and I often worry that will not be possible as the city becomes more expensive, specifically housing.