Professor Bruce Boghosian, Chair; Fluid dynamics
Professor Christoph Börgers, Mathematical biology
Professor Fulton Gonzalez, Harmonic analysis
Professor Mauricio Gutierrez, Group Theory
Professor Marjorie Hahn, Probability
Professor Boris Hasselblatt, Dynamical systems
Professor Misha Kilmer, Numerical linear algebra
Professor Zbigniew H. Nitecki, Dynamical systems
Professor Eric Todd Quinto, Robinson Professor of Mathematics; Functional analysis
Professor Montserrat Teixidor i Bigas, Algebraic geometry
Professor Richard Weiss, William Walker Professor of Mathematics; Group theory
Associate Professor/Coordinator Lenore Feigenbaum, History of mathematics
Associate Professor George McNinch, Algebraic groups
Associate Professor Kim Ruane, Geometric group theory
Associate Professor Loring Tu, Algebraic geometry
Assistant Professor Christian Benes, Stochastic analysis
Assistant Professor Tawanda Gwena, Algebraic geometry
Assistant Professor Adam Piggott,
Geometric group theory
Assistant Professor Genevieve Walsh, Geometric topology
Lecturer Mary Glaser, Combinatorics
Adjunct Professor Lenore J. Cowen, Computational biology,
theory of computation, algorithm design and analysis
Adjunct Professor Diane Souvaine, Design and analysis of algorithms,
computational geometry
Visiting Research Professor Mary Beth Ruskai, Mathematical physics,
quantum computing
Our experience up to date justifies us in feeling sure that in Nature is actualized
the ideal of mathematical simplicity.
Albert Einstein
Spencer Lecture, Oxford, 1933
Undergraduate Concentration Requirements
To major in mathematics, a student must take ten courses in the department. Up to two of
these courses may be replaced by certain courses in related fields approved by the
department. The courses in mathematics may not include Mathematics 4 through 12, or 17,
and must include Mathematics 13 or 18, 46, 135, and 145. For
depth, students must complete at least one of the four
major year-long sequences (Mathematics135/136,
145/146, 151/152, and
161/162), and
for breadth, students must either complete a second one of
these sequences or else take an additional course chosen from among Mathematics 126, 128,
151, 158, 161, 167, 168. Majors are advised
to complete Mathematics 13 or 18 and Mathematics 46 by the end of their sophomore year.
Majors must demonstrate knowledge of a computer language by including an approved course
in computer science in their program.
Students in the School of Engineering may, with certain exceptions, choose mathematics as a second area of concentration. To do so a student must notify the dean of engineering through the Department of Mathematics at least one semester before graduation. The student must complete a program that simultaneously satisfies the conditions for a degree from the School of Engineering and the concentration requirements of the Department of Mathematics.
Undergraduate Minor Program
To minor in mathematics, a student must take six courses in the department beyond the
level of Mathematics 12 (or 17). These must include Mathematics 13 (or 18) and 46, as well
as Mathematics 135 or 145 (or both).
Graduate Program
The Department of Mathematics offers programs leading to the degrees of master of science
or arts, and doctor of philosophy. Applicants for the master's degree are expected to have
a preparation equivalent to the usual major in mathematics, including courses in analysis
and modern algebra. Applicants for admission directly into the doctoral program will be
considered only if they have shown exceptional ability. Often doctoral candidates are
drawn from the Tufts master's program.
Master's Degree
To qualify for the master's degree a student completes an approved program of at least
nine courses numbered above 100. At least seven of these courses must be numbered 136,
146, 158, or above 164; this may include 295 and 296. A student must either write a
master's thesis, which counts as two of the nine required courses, or pass oral
examinations on analysis, algebra, and geometry as in the Ph.D. program.
For breadth, the nine courses taken to fulfill the master's degree course requirement must include at least one course from each of the following four categories:
Real analysis: 136, 211, 212
Complex analysis: 158, 213
Algebra: 146, 215, 216
Geometry or topology: 167, 168, 217, 218
No more than two of these four courses can be at the 100 level. Any part of this requirement may be fulfilled by equivalent courses with prior approval by the mathematics department graduate committee.
Doctor of Philosophy
A student who has been admitted to the doctoral program must first pass oral examinations
on analysis, algebra, and geometry, and then pass an oral qualifying examination on
material studied in preparation for work on a dissertation.
The major task of a doctoral student is to write a dissertation under the direction of a department member. This must be a substantial original contribution to the field of the student's specialty and must meet standards of quality as exemplified by current mathematical research journals.
In addition, a student must demonstrate proficiency in reading mathematics written in French, German, or Russian. A student who is not a native speaker of English must also demonstrate proficiency in oral and written mathematical communication in English. A student is also required to have at least one semester's teaching experience at Tufts.
Undergraduate Courses
Please note: Students who wish to begin calculus should register for either Mathematics
5, 11, or 17. Those interested in computer science, engineering, mathematics, and the
physical sciences should begin the three-course sequence Mathematics 11, 12, 13 or the
two-course accelerated honors sequence Mathematics 17, 18. Other combinations of these courses
may not be granted full credit. Mathematics 4, 5, 6, 8, 9, and 10 do not count toward a
degree in the School of Engineering.
For more detailed information, please visit the website
http://www.tufts.edu/as/math/.
To view Course Descriptions, please go to: http://webcenter.studentservices.tufts.edu/courses/main.asp.