Mathematics
Programs Offered: M.S.,
Ph.D.
http://math.tufts.edu
617.627.3235
The Master of Science (M.S.) in
mathematics is for students interested in careers in fields
including teaching, financial services, statistical research,
medical technology, aerospace, and software development.
Students pursuing the M.S. must complete nine courses
including required courses in real analysis, complex analysis,
algebra, and geometry/topology. These classes can be complemented by
advanced courses, which have recently included offerings in surface
dynamics, smooth ergodic theory, mathematical neuroscience,
algebraic geometry, and measuretheoretic probability. In addition,
students pursuing the M.S. are required either to write a
thesis or to pass three qualifying exams. Those who choose the
thesis explore a specific topic in mathematics under the direction
of a faculty member.
Current areas of faculty research include geometric group theory and
topology, dynamical systems, representation theory, algebraic and
differential topology, algebraic geometry, harmonic analysis,
stochastic processes, imaging, tomography and inverse problems,
neural models and networks, and fluid dynamics.
The M.S program typically takes two years to complete.
The Doctor of Philosophy (Ph.D.) in mathematics is for students
interested in careers in areas such as university research and
teaching, technology, and finance.
An individualized course of study, the Ph.D. program builds on
introductory graduate courses chosen from real analysis, abstract
algebra, geometry and topology, numerical methods, and partial
differential equations (the last two offered in alternate years).
The program's advanced courses are based on the interests of current
Ph.D. students and have included offerings such as surface dynamics,
smooth ergodic theory, mathematical neuroscience, algebraic
geometry, and measuretheoretic probability.
The program concludes with a dissertation, which is expected to make
a substantial original contribution to the field of the student's
specialty and meet the standards of quality exemplified by current
mathematical research journals. Recent dissertation titles have
included, RightAngled Coxeter Groups and CAT(0) Spaces, HaarBased
MultiResolution Stochastic Processes, and The Axonal Plexus: A
Description of the Behavior of a Network of Axons Connected by Gap
Junctions.
Current areas of faculty research include geometric group theory and
topology, dynamical systems, representation theory, algebraic and
differential topology, algebraic geometry, harmonic analysis,
stochastic processes, imaging, tomography and inverse problems,
neural models and networks, and fluid dynamics.
Doctoral students have the opportunity to teach at Tufts. Initially,
they may run tutorials or lead review sessions, but usually they
teach a full section of a mathematics course.
The department is also a contributing member of the IGERT soft
material robotics program. This program, funded by the National
Science Foundation, supports Ph.D. students working on projects
that combine expertise in more than one department. This support
is awarded on a competitive basis. If you wish to be considered
for this program you must select the IGERT Soft Material Robotics
option when you apply. Additional information on these
fellowship awards and soft material robotics at Tufts is available
by visiting the
IGERT
Soft Material Robotics website.
Mathematics: Faculty
James Adler
Ph.D., University of Colorado
Scientific computing
Thomas Barthelmé
Ph.D., University of Strasbourg
Dynamical systems
Bruce M. Boghosian
Ph.D., University of California, Davis
Fluid dynamics
Christoph Börgers
Ph.D., New York University
Mathematical biology
Jens Christensen
Ph.D., Louisiana State University
Integral geometry and harmonic analysis
Moon Duchin
Ph.D., University of Chicago
Geometry, topology, groups, dynamics
Fulton Gonzalez
Ph.D., Massachusetts Institute of Technology
Harmonic analysis
Mauricio Gutierrez
Ph.D., Brandeis University
Group theory
Marjorie Hahn
Ph.D., Massachusetts Institute of Technology
Probability
Boris Hasselblatt, Chair
Ph.D., California Institute of Technology
Dynamical systems
Misha Kilmer
Ph.D., University of Maryland
Numerical linear algebra
Scott MacLachlan
Ph.D., University of Colorado, Boulder
Computational partial differential equations
Alberto Lopez Martin
Ph.D., Universität Zürich
Algebraic geometry
George McNinch
Ph.D., University of Oregon
Algebraic groups
Zbigniew H. Nitecki
Ph.D., University of California, Berkeley
Dynamical systems
Eric Todd Quinto
Ph.D., Massachusetts Institute of Technology
Tomography and functional analysis
Kim Ruane, Director of Graduate Studies
Ph.D., Florida State University
Geometric group theory
Montserrat Teixidor i Bigas
Doctorat, Universitat de Barcelona
Algebraic geometry
Loring Tu
Ph.D., Harvard University
Algebraic geometry
Sabir Umarov
Ph.D., Moscow Power Engineering Institute (Technical University)
Probability
Genevieve Walsh
Ph.D., University of California, Davis
Geometry and topology
Richard Weiss
Dr. rer. nat., Technische Universität Berlin
Group theory

