Geballe, the commissioner of the Department of Administrative Services and the state’s chief operating officer, said Tuesday he has accepted “a dream job” at Yale overseeing a new innovation and entrepreneurial program. Lamont named Michelle Gilman, who is currently the deputy to Geballe, as the new commissioner of administrative services, a key post as the state continues to modernize technology and faces an expected wave of retirements in July. Gilman, 51, was hired by Geballe as deputy operating officer in the early days of the pandemic, interviewing for the job at the Emergency Operations Center. “I think the next day she was on the job, and every day since she has taken on the toughest assignments and the greatest challenges,” Geballe said.