The Ph.D. degrees in Mathematics and in Atmosphere-Ocean Science and Mathematics are open to students who wish to pursue a career in academic research and teaching, as well as in the private and public sectors. Consistent with its scientific breadth, the Institute welcomes applicants whose primary background is in quantitative fields such as economics, engineering, physics, or biology, as well as mathematics. Doctoral students take advanced courses in their areas of specialization, followed by a period of research and the preparation and defense of the doctoral thesis.
The Graduate Department of Mathematics at the Courant Institute offers balanced training in mathematics and its applications in the broadest sense. The Department occupies a leading position in pure and applied mathematics, especially in ordinary and partial differential equations, probability theory and stochastic processes, differential geometry, numerical analysis and scientific computation, mathematical physics, material science, fluid dynamics, math biology, Atmosphere and Ocean science, and Computational Biology.