Following graduate school, Boyd went to New York University Institute for Mathematics and performed research and teaching there. After, in 1950, she took a teaching position at Fisk University, a college for black students in Nashville, Tennessee (more prestigious postings being unavailable to black women). Two of her students there, Vivienne Malone-Mayes and Etta Zuber Falconer, went on to earn doctorates in mathematics of their own. But by 1952 she left academia and returned to Washington with a position at the Diamond Ordnance Fuze Laboratories. In January 1956, she moved to IBM as a computer programmer; when IBM received a NASA contract, she moved to Vanguard Computing Center in Washington, D.C.