The special commissioner of investigation for city schools said Christian Del Re and the 18-year-old student also shared after-midnight phone calls.
Del Re, who is married, has denied any wrongdoing.
Del Re has been removed from his job at Leon M. Goldstein High School for the Sciences. He faces a disciplinary process that could result in being fired.
The special commissioner's report said students claimed they saw Del Re playing with the young woman's hair.
Both Del Re and the student said their relationship never went beyond texting and talking.
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