New London — The Board of Education’s investigation of Terrence P. Carter, the man unanimously appointed in June as the city’s next superintendent, is on track to be completed next week, according to the board’s attorney.

The board and state-appointed Special Master Steven J. Adamowski met in executive session for an hour and a half Monday evening to be briefed on the status of the investigation by Saranne P. Murray, the board’s attorney.

Before entering the closed session, board member Rob Funk said the board would discuss “threatened claims and litigation against the board” and the “status of investigation into claims regarding Terrence Carter’s application and background.”

After the 90-minute executive session, the board took no action. Board members declined to comment, as did Adamowski.

Murray said there are a few issues that remain unresolved, but she expects to have the investigation finished next week.

Bill McCoy, the Uncasville attorney who represents Carter, said Monday that Carter was not invited to participate in Monday’s executive session and has not been questioned as part of the board’s inquiry.

“He still lives in New London and is willing to cooperate with the investigation,” McCoy said. “He hasn’t yet been interviewed and we have had no information about the status of the so-called investigation.”

McCoy said he “would assume” Carter would be questioned “very shortly” as part of the board’s investigation.

When asked if Carter had filed a notice of intent to sue, McCoy directed the question to the Board of Education. City Clerk Jonathan Ayala said Monday that his office has not received a notice of intent to sue from Carter or any attorney representing him.

On June 12, the Board of Education unanimously appointed Carter as the city’s next superintendent. He was to take the reins of the school system on Aug. 1.

But in July, the board chose to refrain from ratifying Carter’s contract after news reports indicated that he had misrepresented himself — or allowed others to misrepresent him — as having a Ph.D. for more than five years before he completed his doctorate and that he had twice filed for personal bankruptcy.

Later, The Day reported that at least 10 paragraphs of Carter’s application for the superintendent job in New London, and large portions of his cover letter, contained material apparently copied from other sources without attribution.

c.young@theday.com

Twitter: @ColinAYoung