The chair of a Dorchester charter school’s board has resigned after state investigations of a controversial, six-figure payout to an outgoing administrator.

Kevin A. Tarpley, a former Somerville alderman, had been board chairman of the Helen Y. Davis Leadership Academy since 2010. His departure, effective this month, was announced in a brief letter released at the board’s meeting Tuesday night. Tarpley was not present.

“It has been a pleasure serving the students, families and the entire staff of the Academy as a member of the Board for the past 9 years,” Tarpley wrote. “I wish each and every one of you success moving forward.”

The board unanimously accepted Tarpley’s resignation. He had exceeded the board’s own term limits of four consecutive years for officers, according to a state auditor’s report.

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