The high court is set to hear Richard Lapointe's case on Sept. 17.
The state Appellate Court last year overturned the brain-damaged man's convictions and ordered a new trial, saying prosecutors suppressed evidence that may have supported an alibi for Lapointe. Lapointe's supporters say he could not have committed the killing of Bernice Martin in her Manchester apartment.
The Supreme Court will also hear arguments next month on whether Bridgeport School Superintendent Paul Vallas is qualified to hold his job and whether state officials violated a minimum staffing requirement for state troopers.
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