The department offers programs covering a broad range of
topics leading to the Doctor of Philosophy and the Doctor of Science.
Numerous informal seminars, as well as a joint weekly mathematics
colloquium sponsored alternately by MIT, Brandeis,
Harvard, and Northeastern supplement the subject offerings.
Candidates whose primary interest is in the field of pure
mathematics ordinarily take most of their subjects in the department.
In addition to their advanced specialization, students are encouraged
to acquire breadth by taking basic subjects in analysis, algebra,
geometry, Lie theory, logic, and topology.
Candidates whose primary interest is in applied mathematics
are expected to acquire breadth by taking subjects in astrophysics,
combinatorics, fluid dynamics, theoretical physics, numerical analysis,
statistics and/or the theory of computation. Students are encouraged
to study important aspects of one or more engineering or scientific
fields closely related to research in applied mathematics. Assistance
or collaboration in problems in pure or applied mathematics, which are
being investigated by members of the staff, may constitute part of a
graduate student's program.
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