If you want to major in Topology and Foundations, then you should consider applying to the University of California-Berkeley! This institution grants approximately 2 degrees at the Doctors degree research scholarship level in Topology and Foundations annually.
The highest paying job for Topology and Foundations majors is Mathematical Science Teachers, Postsecondary. However, something else to think about is how many job openings there currently is. A job that is in high need that a degree in Topology and Foundations can prepare you for is Mathematical Science Teachers, Postsecondary.