 He taught philosophy at Florida International University from 1987 to 2006, after which he moved to Purdue University.Draper was editor of the academic journal "Philo" from 2007 to 2012.His philosophical inquiry is focused on issues in the philosophy of religion; he has written extensively on the problem of evil, including the argument that the process of natural selection is sufficiently brutal so as to pose a problem for those who believe in an omnipotent and morally good creator.