Princeton University, based in Princeton, New Jersey offers a fully funded PhD in Mathematics. The Ph.D. program has minimal requirements and maximal research and educational opportunities. They offer a broad variety of advanced research topics courses as well as more introductory level courses in algebra, analysis, and geometry. First-year students receive the University First-Year Fellowship in Natural Sciences & Engineering, plus full tuition and student health plan coverage. Second-, third- and fourth-year (and fifth-year) students are expected to grade or teach each semester and are paid as half Assistants in Instruction (AI) and half Assistants in Research (AR).