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					                                                                                                           WhY stUDY at VaNDeRBiLt?                                                  FINANCIAL SUPPORT
                                                                                                                                                                                     Most Ph.D. students in mathematics receive a teaching assistantship
                                                                                                           • The 2010 National Research Council (NRC) report on U.S. math            or fellowship that provides a tuition waiver, a stipend, and a health
                                                                                                              graduate programs places our department in the top group of
                                                                                                                                                                                     insurance plan. Support is usually provided for a five-year period.
                                                                                                              graduate programs surveyed.
                                                                                                                                                                                        Teaching assistants for 2011/12 receive a nine-month stipend of
                                                                                     GRADUATE STUDIES IN   • The Department of Mathematics has a distinguished international         $21,200. Stipends are expected to be increased for 2012/13. Some

                                                                                                              faculty, including Field Medalists and invited speakers at the         highly qualified applicants are awarded fellowships with an additional
                                                                                                              International Congresses of Mathematicians, and a variety of           stipend: University Graduate Fellowships provide an additional
                                                                                                              research groups: universal algebra, group theory, approximation        $10,000, Harold Stirling Vanderbilt Scholarships provide an addition-
                                                                                                              theory, noncommutative geometry, operator algebras, mathemati-         al $6,000, and the Graduate School awards several Provost’s
                                                                                                              cal biology, partial differential equations, and graph theory.         Graduate Fellowships that provide an additional $10,000 to highly
                                                                                                           • We have a stimulating research environment and an ongoing pro-          qualified students from under-represented groups.
                                                                                                              gram that brings in visitors from institutions around the world. The      Students who do not have financial aid pay tuition of $1,680 per
                                                                                                              department also hosts several major conferences a year.                credit hour.
                                                                                                           • The department is large enough to support a wide range of
                                                                                                              courses, but small enough for students to receive individual atten-    GRADUATE STUDENT TEACHING
                                                                                                              tion from faculty members. The Department of Mathematics has           First-year graduate students participate in a weekly teaching seminar
                                                                                                              approximately fifty research faculty and forty resident graduate       and conduct tutored study halls for calculus.
                                                                                                              students.                                                                 Second- and third-year students serve as TAs. Responsibilities
                                                                                                           • Graduate students are given one to two years of training to teach       include attending class meetings, conducting a weekly recitation sec-
                                                                                                              at the college level. After that period, they generally serve as TAs   tion, holding office hours, and grading papers.
                                                                                                              and eventually instructors in calculus classes. This opportunity          Fourth- and fifth-year students with good teaching evaluations
                                                                                                              provides valuable experience in communication, even for students       and strong recommendations from their faculty mentors are assigned
                                                                                                              who do not pursue careers in academia.                                 to teach a first-year calculus course.
                                                                                                           • Our graduate students are very successful at securing jobs.
                                                                                                           • Nashville offers the amenities of a large city and the friendliness
                                                                                                              of a small town.                                                       Vanderbilt has a research-level library with more than three million
                                                                                                                                                                                     volumes. The mathematics collection is housed in the Science and
                                                                                                           PROGRAMS                                                                  Engineering Library, conveniently located in the math building. This
                                                                                                           The Department of Mathematics offers doctor of philosophy, master         collection is excellent, both in books and access to electronic
                                                                                                           of science, and master of arts degrees in mathematics. Most of our        resources including e-journals and online databases such as
                                                                                                           students pursue the Ph.D.                                                 MathSciNet and Web of Science. Items not available locally can be
                                                                                                              The Ph.D. program requires 72 credit hours of course work, includ-     borrowed through Interlibrary Loan, which is free of charge to
                                                                                                           ing dissertation research. Doctoral candidates complete a core cur-       graduate students.
                                                                                                           riculum in algebra, analysis, and topology. After passing preliminary        Computational resources available to graduate students include
                                                                                                           exams in two of these three areas, students study in their area of        access to the university’s large cluster and desktop computers
                                                                                                           concentration. For Ph.D. candidacy, students pass a qualifying exami-     equipped with computer algebra software and LaTeX. Graduate
                                                                                                           nation, involving either an oral examination in their specialty or an     students may use these facilities freely for research, writing, and
                                                                                                           expository paper. Once students have qualified for Ph.D. candidacy,       teaching.
                                                                                                           they concentrate on dissertation research.                                   Furthermore, the graduate students’ office suite is a newly
                                                                                                                                                                                     renovated state-of-the-art facility.
Vanderbilt is committed to principles of equal opportunity and affirmative action.
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of Vanderbilt University. Produced by Vanderbilt University Creative Services &
Vanderbilt Printing Services, 2011.
                                                                             THE FACULTY AND THEIR RESEARCH                                         Vaughan Jones, Ph.D. (University of Geneva, Switzerland)            John G. Ratcliffe, Ph.D. (University of Michigan)
Ample private housing is available within walking distance of the                                                                                      Von Neumann Algebras                                                Low Dimensional Topology, Hyperbolic Geometry
campus. The Office of Housing and Residential Education maintains           Departmental Administration                                             Jesse Peterson, Ph.D. (University of California, Los Angeles)       Mark V. Sapir, Ph.D. (Moscow State Pedagogical Institute, Russia)
an off-campus housing referral service. Visit their webpage at              Chair: Dietmar Bisch                                                       Operator Algebras, Ergodic Theory                                   Geometric Group Theory, Algorithmic Problems in Algebra                                                   Vice Chair: John Ratcliffe                                              Alexander M. Powell, Ph.D. (University of Maryland)                 Ioana Suvaina, Ph.D. (Stony Brook University)
                                                                            Director of Graduate Studies: Mike Neamtu                                  Harmonic Analysis, Wavelet Theory, Signal and Image Processing      Differential Geometry, Kähler Geometry, Seiberg-Witten Theory
VANDERBILT AND NASHVILLE                                                    Director of Undergraduate Studies: Gieri Simonett                                                                                              and Symplectic Topology
                                                                                                                                                    Edward B. Saff, Ph.D. (University of Maryland)
Vanderbilt is a private university, founded in 1873. The university         Director of Teaching: John Rafter                                          Complex Analysis, Potential Theory                               Steven T. Tschantz, Ph.D. (University of California, Berkeley)
includes four undergraduate schools, the Graduate School, and eight                                                                                 Eric Schechter, Ph.D. (University of Chicago)                          Group Theory, Hyperbolic Geometry
professional schools.                                                       RESEARCH FACULTY AND THEIR AREAS                                           Functional Analysis                                              Guoliang Yu, Ph.D. (SUNY, Stony Brook)
    Located approximately two miles from downtown Nashville,                                                                                        Gieri Simonett, Ph.D. (University of Zürich, Switzerland)              K-Theory, Analysis on Manifolds, Noncommutative Geometry
Vanderbilt is situated on 330 acres and is designated as an arbore-         Algebra and Logic                                                          Partial Differential Equations, Free Boundary Problems
tum. A diverse student body of about 6,800 undergraduates and               Ralph McKenzie, Ph.D. (University of Colorado)                          Glenn F. Webb, Ph.D. (Emory University)                             Graph Theory and Combinatorics
more than 5,800 graduate and professional students is taught by                Algebra and Logic                                                       Mathematical Biology, Population Dynamics,                       Paul H. Edelman, Ph.D. (Massachusetts Institute of Technology)
more than 3,300 full-time faculty members. Vanderbilt is the largest        Michael L. Mihalik, Ph.D. (SUNY, Binghamton)                               Models of Tumor Growth, Differential Equations                     Algebraic Combinatorics, Geometric Combinatorics,
private employer in the region.                                                Geometric Group Theory                                               Daoxing Xia, Ph.D. (Jijiang University, China)                        Cooperative Games
    The metropolitan Nashville area, in the heart of Middle Tennessee,      Alexander Yu. Olshanskiy, Ph.D. (Moscow State University, Russia)          Operator Theory and Its Applications                             Mark N. Ellingham, Ph.D. (University of Waterloo, Canada)
has a population of over one million. The city, a center for music of          Group Theory                                                         Dechao Zheng, Ph.D. (SUNY, Stony Brook)                               Graph Theory, Paths and Cycles, Topological Graph Theory
all kinds, has many other cultural and entertainment opportunities,         Denis Osin, Ph.D. (Moscow State University, Russia)                        Functional Analysis, Operator Theory, Complex Analysis,
including theatre, film, museums, symphony, recreation areas, and              Geometric Group Theory                                                  Harmonic Analysis                                                2011/2012 POSTDOCTORAL FELLOWS
two major league sports teams.                                              John G. Ratcliffe, Ph.D. (University of Michigan)                                                                                           Simone Bova, Ph.D. (University of Siena)
                                                                               Geometric Group Theory                                               Computational Mathematics
                                                                                                                                                                                                                           Universal Algebra, Logic
INFORMATION AND APPLICATIONS                                                Mark V. Sapir, Ph.D. (Moscow Pedagogical Institute, Russia)             Akram Aldroubi, Ph.D. (Carnegie Mellon University)                  Michael Brandenbursky, Ph.D. (Technion - Israel Institute of
•   Visit for information about the                    Group Theory, Algorithmic Problems in Algebra                           Wavelet Theory, Image and Signal Processing                         Technology) Topology, Symplectic Geometry
    Department of Mathematics (especially the “Graduate” link).             Eric Schechter, Ph.D. (University of Chicago)                           Yanqin Fan, Ph.D. (University of Western Ontario)                   Richard Burstein, Ph.D. (University of California, Berkeley)
    Questions specifically concerning the mathematics graduate pro-            Set Theory and Nonclassical Logics                                      Nonparametric Statistics, Econometrics                              Von Neumann Algebras, Subfactor Theory
    gram should be emailed to                      Steven T. Tschantz, Ph.D. (University of California, Berkeley)          Douglas P. Hardin, Ph.D. (Georgia Institute of Technology)          Michael Chance, Ph.D. (SUNY, Stony Brook)
                                                                               Logic, Universal Algebra, Computer Algebra                              Wavelet Theory, Image Processing                                    Symplectic Geometry
•   Visit for general information about       Constantine Tsinakis, Ph.D. (University of California, Berkeley)        Mike Neamtu, Ph.D. (University of Twente, Netherlands)              Ionut Chifan, Ph.D. (University of California, Los Angeles)
    graduate studies at Vanderbilt. Online applications are sent directly      Algebraic Logic, Order Algebra                                          Approximation Theory, Spline Theory, Numerical Analysis             Von Neumann Algebras, Orbit Equivalence Ergodic Theory
    to the Graduate School and can be accessed from the
                                                                                                                                                    Alexander M. Powell, Ph.D. (University of Maryland)                 Remi B.G. Coulon, Ph.D. (University of Strasbourg, France)
    “Applications and Information” link. Application questions not          Analysis and Applied Analysis                                              Harmonic Analysis, Wavelet Theory, Signal and Image Processing      Group Theory
    addressed at the Graduate School website should be emailed to
                                                                            John F. Ahner, Ph.D. (University of Delaware)                           Edward B. Saff, Ph.D. (University of Maryland)                      Darren Creutz, Ph.D. (University of California, Los Angeles)
                                                                               Integral Equation Methods in Scattering and Potential Theory,           Approximation Theory, Orthogonal Expansions                         Ergodic Theory
•   Applications, including all supporting materials, are due on January       Fractional Calculus and Mixed Boundary Value Problems, Elasticity    Larry L. Schumaker, Ph.D. (Stanford University)                     Timothy Ferguson, Ph.D. (University of Michigan)
    1, 2012. Late applications may be considered if positions are still        Theory, Conservation Laws                                               Approximation Theory, Spline Theory, Computer-Aided Design          Classical and Applied Analysis
    available. We require both the General and Mathematics Subject          Akram Aldroubi, Ph.D. (Carnegie Mellon University)                                                                                          Juraj Foldes, Ph.D. (University of Minnesota)
    GREs (Graduate Record Examinations). The Subject Test result is            Harmonic Analysis, Sampling Theory, Mathematical Biology             Geometry and Topology                                                  Partial Differential Equations
    especially important in evaluating applications. Applicants whose       Dietmar Bisch, Ph.D. (University of California, Los Angeles)                                                                                Michael Goff, Ph.D. (University of Washington)
                                                                                                                                                    Alain Connes, Ph.D. (Ecole Normale Supérieure, France)
    native language is not English and who have not been educated              Operator Algebras, Quantum Physics, Quantum Information Theory                                                                              Combinatorics
                                                                                                                                                       Noncommutative Geometry
    at an English-speaking university must also take the TOEFL              Alain Connes, Ph.D. (Ecole Normale Supérieure, France)                                                                                      Stacy Hoehn, Ph.D. (University of Notre Dame)
                                                                                                                                                    Zehra Basak Gürel, Ph.D. (University of California, Santa Cruz)
    (Test of English as a Foreign Language).                                   Noncommutative Geometry                                                                                                                     Geometric Topology, Algebraic Topology, K-Theory
                                                                                                                                                       Symplectic Topology and Geometry, Hamiltonian Dynamical
                                                                            Philip S. Crooke III, Ph.D. (Cornell University)                           Systems, Differential Geometry                                   Baili Min, Ph.D. (Washington University in St. Louis)
FURTHER INFORMATION                                                            Differential Equations, Mathematical Biology,                                                                                               Several Complex Variables, Complex Analysis
                                                                                                                                                    C. Bruce Hughes, Ph.D. (University of Kentucky)
    Director of Graduate Studies                                               Mathematics Education                                                   Geometric and Algebraic Topology, Manifold Theory,               Rares Rasdeaconu, Ph.D. (SUNY, Stony Brook)
    Department of Mathematics                                               Emmanuele DiBenedetto, Ph.D. (University of Texas, Austin)                 Controlled Topology, Stratified Spaces                              Differential and Symplectic Geometry
    1326 Stevenson Center                                                      Partial Differential Equations, Mathematical Biology                 Gennadi Kasparov, Ph.D. (Moscow State University, Russia)           Jonathan Whitehouse, Ph.D. (University of Minnesota)
    Vanderbilt University                                                   Yanqin Fan, Ph.D. (University of Western Ontario)                          K-Theory, Noncommutative Geometry, Operator Algebras                Approximation Theory, Harmonic Analysis
    Nashville, Tennessee 37240, U.S.A.                                         Nonparametric Statistics, Econometrics                               Michael L. Mihalik, Ph.D. (SUNY, Binghamton)                        Zhizhang Xie, Ph.D. (Ohio State University)
    Email:                                          Douglas P. Hardin, Ph.D. (Georgia Institute of Technology)                 Algebraic Topology, Low Dimensional Topology,                       Noncommutative Geometry, Index Theory
    Telephone: (615) 322-6672                                                  Harmonic Analysis, Fractal Geometry, Biomedical Informatics             Geometric Group Theory                                           Ju-Yi Yen, Ph.D. (University of Maryland, College Park)
                                                                            Mary Ann Horn, Ph.D. (University of Virginia)                           Alexander Yu. Olshanskiy, Ph.D. (Moscow State University, Russia)      Stochastic Processes, Financial Mathematics
    Fax: (615) 343-0215
                                                                               Partial Differential Equations, Control Theory, Nonlinear Analysis      Geometric Group Theory                                           Dongpin Zhuang, Ph.D. (California Institute of Technology)
                                                                                                                                                                                                                           Geometric Group Theory

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