Pittsburgh PA: On location photography at Duquesne University. Rev. Jeremiah Joseph Callahan, President of Duquesne University - 1932. Duquesne University is a private, coeducational university located on a bluff above downtown Pittsburgh, Pennsylvania. Founded in 1878 as a Catholic college by the Order of the Holy Spirit, Duquesne is the only Spiritan institution of higher education in the world.