The Department of Mathematics and Computer Science at
Rutgers-Newark and the Department of Mathematics at New Jersey
Institute of Technology offer jointly the Ph.D. program in the
mathematical sciences. A combined graduate faculty from the two
institutions provides research opportunities in many fields of
specialization, including representation theory, algebra, number
theory, low-dimensional topology, Kleinian groups and Teichmüller
theory, geometric group theory, and 4-manifolds. The program also
offers courses in a wide variety of fields in applied mathematics.
The program is designed to provide students with a broad and deep
knowledge of both classical and modern methods in the mathematical
sciences. In addition, students gain experience in applying this
knowledge to problems in the sciences and engineering.
Individuals entering with a bachelor`s degree normally spend their
first two years in course work and in preparation for the Ph.D.
qualifying examination. They take that examination no later than
September of their third year. Students are encouraged to take a range
of courses in both pure and applied mathematics to help decide the
research direction they will pursue.
The Ph.D. curriculum is
divided into two options: pure mathematics and applied mathematics. The
applied mathematics program is administered by New Jersey Institute of
Technology. Students in the pure mathematics track are required to take
26:645:611 Real Analysis I, 26:645: 612 Real Analysis II, 26:645:621
Complex Variables I, 26:645:631 Algebra I, 26:645:632 Algebra II,
26:645:641 Topology I, 26:645:642 Topology II, and 26:645:643
Differentiable Manifolds. The above course requirements can be waived,
however, for students with master`s degrees who have completed
equivalent course work.
Additionally, all students are
required to take at least 24 credits of advanced elective courses.
These electives are chosen in consultations among the student, the
student`s adviser, and the advisory committee, and with the permission
of the graduate program director.
The Ph.D. qualifying
examination for students choosing the pure option consists of three
parts, with each part covering the basic topics in a particular
subdiscipline. Part A consists of real and complex analysis, Part B
tests a student`s knowledge of algebra, and Part C covers topology and
geometry. After successful completion of the exam, students begin their
doctoral research under the direction of a faculty member. All students
are required to take at least 24 credits of doctoral dissertation
research. Upon completion, the dissertation is presented to a thesis
committee, which conducts a final oral examination.
More information about the program, the department, and the faculty may be obtained by visiting the program`s web site at http://nwkmath.rutgers.edu.
