In 1968, Wolfe was named president of Portland State University,[3][4] which position he held until 1974, when he ran for Congress in the Democratic primary in Portland.[1] He finished third out of seven candidates,[1] and then moved to teach at American University.[1]
Wolfe was appointed president of Florida International University in 1979,[8] over the objection of some state legislators who preferred a local candidate for the position.[1] He served until his resignation in 1986,[9] during which time he oversaw significant growth as the university progressed from being an exclusively upper-division school (having no freshman or sophomores) to becoming a four-year college granting post-graduate degrees.[2] He also oversaw the addition of the university's engineering, nursing, and journalism programs.[2] The FloridaState Legislature recognized Wolfe's contributions to the growth and emergence of FIU by naming the Gregory Baker Wolfe University Center, located on FIU's Biscayne Bay Campus, in his honor.[2]