AP Photo/Molly Riley Rex Tillerson, the departing State Secretary, has emerged as a potential candidate for the next University of Texas System chancellor. Tillerson is reportedly being courted for the top job at the school's system, which oversees 14 universities and medical institutions. But other sources said no interviews were conducted yet and there were no front-runners. Tillerson graduated from the University of Texas at Austin in 1975. As the search for the next University of Texas System chancellor drags on, a new high-profile potential candidate has emerged: departing U.S.