apartment occupancy in Stamford is about 97%, among the highest in the country, according to this article:
There are lots of proposals to add apartments to downtown. At 1430 Washington Blvd (apartment bldg known as Westcott, formerly called Newbury Common), on the northern edge of downtown, there is a proposal to convert approximately 12,000 sq. ft. of existing ground floor office space into nineteen additional residential units including four Below Market Rate units. The Urban Redevelopment Commission will sell the parking lot at 66 West Park Place to a buyer that may build 70 residential units over 7-8 stories.
https://www.stamfordct.gov/sites/g/files/vyhlif1256/f/agendas/pb_09-29-20_meeting_0.pdf
And also a major proposal for a high-rise just north of the old UBS building:
Also, at 860 Canal Street, in South End, a 133,000-square-foot media facility will open in the spring of 2021:
December 13, 2020. South End development (Harbor Point cluster near Dyke Lane) as seen from Kosciuszko Park.