Katherine Johnson works at the West Area of Langley Research Center in Hampton, Virginia, in 1961, alongside her colleagues Mary Jackson and Dorothy Vaughan, as lowly "computers", performing mathematical calculations without being told what they are for. All of them are African-American women; the unit is segregated by race and sex. White supervisor Vivian Mitchell assigns Katherine to assist Al Harrison's Space Task Group, given her skills in analytic geometry. She becomes the first Black woman on the team; head engineer Paul Stafford is especially dismissive.
Mary is assigned to the space capsule heat shield team, where she immediately identifies a design flaw. Encouraged by her team leader, Karl Zielinski, a Polish-Jewish Holocaust survivor, Mary applies for a NASA engineer position. She is told by Mitchell that, regardless of her degree in mathematics and physical science, the position requires additional courses. Mary files a petition for permission to attend all-white Hampton High School, despite her husband's opposition. Pleading her case in court, she wins over the local judge by appealing to his sense of history, allowing her to attend night classes.
https://en.wikipedia.org/wiki/Hidden_Figures