Fairfield University wants to build a 165-bed student dormitory on its campus, but some residents are pushing back. The new sophomore residence hall is planned to be called “Regis West” and would be on the school’s campus at 1073 North Benson Road near Round Hill Road. The university is seeking site plan approval and a special exception permit for the dorm, John Fallon, Fairfield University’s attorney for the application, said at the recent Town Plan and Zoning Commission meeting. He said the project is part of the school’s master plan, which calls for $225 million in upgrades and renovations. Many of the commission’s questions for the applicant revolved around the plan’s impact on neighbors and the proposed measures to block their view of the dorm and light from it.