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Mathematics
Chair: Jack P. Diamond
Graduate Adviser: Nick Metas
Students in the Master’s program can
choose a program of study to prepare them
for Ph.D. programs in mathematics, for
teaching at a pre-university level, for a
career in probability or statistics, or for
actuarial work. For those students who are
interested in computer science as well as
mathematics, a program can be arranged
so that students do approximately one-half
of their work in mathematics and one-half
in computer science, each area comple-
menting the other.
Faculty
Diamond, Jack P., Chair, Associate Pro-
fessor, Ph.D. 1975, Princeton Univer-
sity: algebraic number theory
Metas, Nick, Graduate Adviser, Assistant
Professor, Ph.D. 1966, Massachusetts
Institute of Technology: functional
analysis, injective Banach spaces
Sullivan, Dennis P., Albert Einstein Profes-
sor of Mathematics, Ph.D. 1965, Prince-
ton University: geometric topology
Braun, Martin, Professor, Ph.D. 1968, New
York University: qualitative theory of
differential equations, mathematical
models
Cowen, Robert H., Professor, Ph.D. 1967,
Yeshiva University: logic and set theory
Dodziuk, Jozef, Professor, Ph.D. 1973,
Columbia University: geometric analy-
sis
Don, Eugene C., Lecturer, Ph.D. 1984,
State University of New York at Stony
Brook: numerical analysis
Emerson, William R., Professor, Ph.D.
1967, University of California at Berke-
ley: number theory, combinatorics, and
topological group theory
Goldberg, Wallace, Professor, Ph.D. 1974,
Polytechnic Institute of New York: ap-
plied mathematics, differential equa-
tions
Goodman, Arthur, Lecturer, Ph.D. 1980,
Yeshiva University: approximation 
theory
Hechler, Stephen H., Professor, Ph.D.
1967, University of California at Berke-
ley: logic, set theory, set theoretical
combinatorics, set theoretical topology
Hershenov, Joseph, Professor, Ph.D. 1961,
Massachusetts Institute of Technology:
fluid dynamics, stability theory
Itzkowitz, Gerald L., Professor, Ph.D. 1965,
University of Rochester: topology, topo-
logical groups, functional analysis, rela-
tivity
Jiang, Yunping, Assistant Professor, Ph.D.
1990, City University of New York:
dynamical systems
Kahane, Joseph, Professor, Ph.D. 1963,
Columbia University: combinatorics,
applied mathematics
Kramer, Kenneth B., Professor, Ph.D.
1973, Harvard University: algebraic
number theory
Kulkarni, Ravi S., Professor, Ph.D. 1967,
Harvard University: differential geome-
try, Riemann surfaces
Lieberman, Sidney M., Professor, Ph.D.
1965, New York University: image
reconstruction, applied mathematics,
cholesterol synthesis, biological model-
ing
Maller, Michael J., Associate Professor,
Ph.D. 1978, University of Warwick:
dynamical systems and analysis
Mansfield, Larry E., Associate Professor,
Ph.D. 1965, University of Washington:
differential geometry
Mendelson, Elliott, Professor, Ph.D. 1955,
Cornell University: mathematical logic,
axiomatic set theory
Ralescu, Stefan S., Professor, Ph.D. 1981,
Indiana University at Bloomington: sta-
tistics, non-parametric inference, proba-
bility theory
Roskes, Gerald J., Associate Professor,
Ph.D. 1969, Massachusetts Institute of
Technology: numerical analysis, partial
differential equations, singular pertur-
bation theory
Rothenberg, Ronald I., Associate Professor,
Ph.D. 1964, University of California at
Davis: operations research, probability
and statistics, applied mathematics
Sisser, Fern S., Associate Professor, Ph.D.
1977, Columbia University: optimiza-
tion
Steinberg, Arthur, Associate Professor,
Ph.D. 1963, New York University:
group theory
Sultan, Alan, Professor, Ph.D. 1974, Poly-
technic Institute of New York: topologi-
cal measure theory
Swick, Kenneth E., Professor, Ph.D. 1967,
University of Iowa: differential equa-
tions, integral equations, population
dynamics, epidemiology
Tischler, David C., Professor, Ph.D. 1969,
City University of New York: foliations,
singularities of differential forms
Thorpe, John A., Professor, Ph.D. 1963,
Columbia University: differential geom-
etry, general relativity
Weintraub, Sol, Professor, Ph.D. 1964,
Temple University: number theory, sta-
tistics and probability
Weiss, Norman J., Professor, Ph.D. 1966,
Princeton University: harmonic analy-
sis on Euclidean spaces and Lie groups
Requirements for Matriculation
These requirements are in addition to the
general requirements for admission.
1. To be admitted to the program, a can-
didate must have at least 25 credits in
advanced courses in mathematics and
related fields (such as computer science
and physics). At least 12 credits must be in
mathematics, including advanced calculus
and linear algebra, with an average of at
least in the mathematics courses. Appli-
cants not meeting these requirements
must secure special permission of the
department, and may be required to take
courses to remove the deficiencies without
receiving graduate credit.
2. At least two of the written recom-
mendations must be from the applicant’s
undergraduate instructors and must deal
with the ability of the applicant to pursue
graduate work in mathematics.
3. The applicant must have the approv-
al of the Departmental Committee of the
Graduate Program.
4. The applicant’s plan of study must be
approved by the department.
Requirements for the Master of Arts
Degree
These requirements are in addition to the
general requirements for the Master of
Arts degree.
The Department of Mathematics offers
to the student the opportunity to obtain
the Master of Arts degree either in Pure
Mathematics or with a concentration in
Applied Mathematics.
Master of Arts in 
Pure Mathematics
1. A candidate for this degree is re-
quired to complete Mathematics 621, 628,
701, 702, and 703. A total of 30 credits
required for the degree must be in mathe-
matics, except that, with the approval of
the Mathematics Department, a limited
number of appropriate courses in physics
or computer science may be substituted for
mathematics courses. It is required that
the program be completed with an average
of or better.
2. Each candidate for the degree must
pass an oral examination.
Master of Arts with a 
Concentration in Applied Math-
ematics
1. A candidate for this degree is re-
quired to complete 30 credits in an
approved sequence of graduate-level cours-
es in mathematics and related fields. All
students must achieve a solid grounding in
the three areas of probability and statis-
tics, analytic methods, and numerical
methods. This can be achieved by taking
the following mathematics courses: 621,
624, 625, 628, and 633; or by demonstrat-
ing competence in specific areas to the sat-
isfaction of the department; or by taking
an alternative program of courses selected
with the advisement and approval of the
Graduate Adviser. A list of current courses
and suggested programs of study will be
made available. Students may obtain per-
mission to design programs tailored to
their individual needs. It is required that
the Master’s program be completed with an
average of or better.
2. Each candidate will be required to
pass a written examination in an area of
specialization to be approved by the Math-
ematics Department.
3. Students will be encouraged to obtain
practical experience in applied mathemat-
ics by working for private businesses or
governmental agencies participating in the
M A T H E M A T I C S
106


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