Complex sentence: In 1955, he earned his doctorate at the University of Chicago, going on to teach there, as well as at other universities in the United States, and on a Fulbright Fellowship at a college in Uganda.
Split into simpler sentences: In 1955, he earned his doctorate at the University of Chicago. After that he taught at Chicago, at other universities in the United States, and on a Fulbright Fellowship at a college in Uganda.