An adult woman who used “falsified identification” to enroll as a student at three different Boston Public Schools this year is being investigated by police, officials said.

The Supreme Court on Monday declined to decide whether three elite Boston public schools violated the Constitution with a zip-code based admissions policy intended to ensure racial diversity.

The neighborhood school model was a big driver of inequity among Boston public schools in the years before mandatory busing. BPS is hoping that a new kind of school model will rebuild trust among ...