In 1963 he became professor of biochemistry at the School of Pharmacy of the University of Granada, and in 1968 was elected rector of that university, a post he held until 1972.
В 30 лет Ф. Майор стал профессором биохимии факультета фармакологии Гранадского университета, где занимал пост ректора в 1968—1972 годах.