Very interesting! Yale doesn't have a Congressional or state representative (directly, anyway) but take a look at this map [0] and zoom in on Ward 1, in the center. That is pretty much all Yale territory.

Two blocks (Chapel to Elm, Church to College) are taken up by the New Haven Green, which isn't residential (though many homeless residents do live at/near it). From College through Park Street, as well as between Elm and Wall Streets are Yale dorms and academic buildings. Chapel to Crown are primarily restaurants, clubs, and a bit of shopping with some expensive apartments above them.

People who live there are extremely likely to be Yale-affiliated in some way.

2020 election results [1] show that there are 728 people who are eligible to vote in that ward, of which 173 or 23.76% did. They get one of 30 representatives on the Board of Alders. Another thing about New Haven is that nearly all of the Board is people who relate to Yale in some way, including members of unions.

[0] https://www.arcgis.com/apps/webappviewer/index.html?id=20871...

[1] https://www.newhavenindependent.org/index.php/article/partia...