You can call the Police Non-emergency phone number to report noise violations at 203.946.6316.
In general, noise is permitted between 7:00 a.m. and 10:00 p.m. Mondays through Saturdays, and the hours of 9:00 a.m. through 9:00 p.m. Sundays and federal and state holidays".
The City of New Haven does offer an Assessment Deferral Program. There are other Economic Development Programs offered by the City of New Haven. The main Number for the Office of Economic Development is 203.946.2366.
Here is a link to Assessment Deferral Information: