Interdepartmental Committee on Mathematical Structures for Environmental and Social Sciences
Chair:
Graciela
Chichilnisky, Ph.D.
Program on Information and Resources
405 Low
Tel:
212.854.7277
e-mail:gc9@columbia.edu
Program Information
The Interdepartmental Program admits Ph.D. students who enroll or are already enrolled in participating departments and schools:
Graduate School of Business; Departments of Applied Physics and Applied Mathematics, Astronomy, Computer Science, Earth and Environmental Sciences, Economics, Psychology, Statistics, and Law.
Interested students should consult a member of the committee when applying for admission, or at an early stage of their graduate careers, or see the chair of the committee, Professor Graciela Chichilnisky, 405 Low Memorial Library, 212-854-7275, gc9@columbia.edu.
Degree Requirements
The requirements listed below are special to this committee and must be read in conjunction with the general requirements of the Graduate School.
Students in this program are required to pass two sets of exams: qualifying exams and field exams.
For the Ph.D. Degree
The student must meet the minimum formal Ph.D. requirements set by the department in which he or she is registered. Further requirements are set by the committee upon the recommendation of the student’s adviser. He or she is expected to take eight term courses from the following list.
Curriculum
The following courses describe the core of the Interdepartmental program. In some cases an undergraduate course covering the same material may be used as a substitute for a course listed below.
Students whose undergraduate training is primarily in mathematics are ordinarily expected to go beyond the requirements to take two to four additional semesters of advanced course work in relevant areas of natural and/or social sciences.
1. ‑Mathematical Structures in Environmental and Social Sciences.
2. ‑One year-long course in an applied field of the student’s choice, with or without mathematical content (e.g., earth and environmental sciences, chemistry, biology, economics).
In addition to courses (1) and (2), two year-long courses in mathematics, generally not to exceed two full years, are chosen by the student jointly with his/her adviser from the following:
3. ‑One year-long course in algebra such as MATH G4267 and G4268.
4. ‑One year-long course in real analysis with some functional analysis such as MATH G4161 and G4162.
5. ‑One year-long course in differential and algebraic topology such as MATH G4301 and G4302.
6. ‑One semester of complex analysis/functional analysis including Sobolev spaces or Hardy spaces, such as MATH G4163.
7. Dynamical systems, such as MATH V3030.
8. ‑One semester course in ordinary differential equations, such as MATH V3027.
9. ‑Analysis and optimization, parts of the following courses: W4061, W4062, and W2500.
10. Numerical analysis, E4300 and E6302.
| 
