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Link to a list of faculty for
this program.
Contact Information—School of
Mathematics, University of Minnesota, 127 Vincent Hall,
206 Church Street S.E., Minneapolis, MN 55455 (612-625-1306;
fax 612-624-6702; gradprog@math.umn.edu; www.math.umn.edu/grad).
Along with the program-specific requirements listed below, please read the General
Information section of this catalog for Graduate School requirements
that apply to all major fields.
Curriculum—Special areas of research include ordinary
and partial differential equations; probability; real, complex, harmonic,
functional and numerical analysis; differential and algebraic geometry; topology;
number theory; commutative algebra; group theory; logic; combinatorics; mathematical
physics; and applied and industrial mathematics, mathematical biology, and
dynamical systems. The M.S. Plan A includes an emphasis in applied and industrial
mathematics. The M.S. Plan B includes an emphasis in mathematics education
and an emphasis in actuarial science industrial mathematics.
See also Control Science and Dynamical Systems and Fluid
Mechanics in this catalog for Ph.D. programs that rely heavily on mathematics.
Prerequisites for Admission—A solid background in
undergraduate-level mathematics is expected. For students whose goal is the
Ph.D. degree, background should include full-year courses in analysis, abstract
algebra, and a semester of topology (roughly equivalent to MATH 5615H–5616H,
5285H–5286H, and 5345).
Special Application Requirements—All applicants are
expected to submit three letters of recommendation, a score from the GRE
Subject (Advanced) Test in mathematics, and a supplementary application form
available from the mathematics department. Applicants who desire financial
assistance should submit their applications, including the departmental form,
GRE scores, and letters of recommendation, to the director of graduate studies
no later than January 15 to be considered for a fellowship, and no later
than February 15 to be considered for a teaching assistantship. Students
normally are admitted fall semester only.
Key to test abbreviations (GRE, TOEFL, GMAT,
MELAB).
 For
an online application or for more information about Graduate School admissions,
see the General Information section in this
catalog, or visit the Graduate
School Web site.
Courses—Refer to Mathematics (MATH) in the course
section of this catalog or in Twin
Cities Courses on the University Catalog Web site for courses pertaining
to the program.
Use of 4xxx Courses—In exceptional cases, 4xxx courses
may be permitted as part of degree programs subject to director of graduate
studies approval.
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M.S.
Degree Requirements
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The School of Mathematics offers a master of science
(M.S.) in mathematics. Students may also earn the M.S.
degree with emphasis in applied and industrial mathematics
or with emphasis in mathematics education. For more information,
see the Graduate Studies in Mathematics brochure.
The M.S. is offered under Plan A and Plan B. Plan A requires at least 20
course credits and 10 thesis credits. Plan B allows more breadth; students
complete at least 30 course credits, half of which may be in areas outside
of mathematics.
Language Requirements—None.
Final Exam—The final exam is oral.
Minor Requirements for Students Majoring in Other Fields—The
master's minor requires a two-semester 8xxx or 5xxx sequence.
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Ph.D.
Degree Requirements
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The School of Mathematics offers a Ph.D.
in mathematics, and a Ph.D. in mathematics with emphasis
in applied and industrial mathematics.
Special areas of research include ordinary and partial differential equations;
probability; real, complex, harmonic, functional, and numerical analysis;
differential and algebraic geometry; topology; number theory; commutative
algebra; group theory; logic; combinatorics; mathematical physics; and
applied and industrial mathematics.
The Ph.D. preliminary written examination, given twice each year, covers
real analysis, complex analysis, algebra, and manifolds and topology. Students
are expected pass the exam by the end of their second year. After passing
the exam and completing the coursework, students may take the preliminary
oral exam, which they are expected pass by the end of their fourth year.
If a supporting program is chosen, it may consist partly or entirely of
mathematics courses.
For more information, see the program's Web site at www.math.umn.edu/grad.
Language Requirements—Two foreign languages are
required from among the following: French, German, Russian, and Italian.
Minor Requirements for Students Majoring in Other Fields—Two
year-long sequences of 5xxx or 8xxx courses. Consult the director of graduate
studies in mathematics.
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Faculty
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| For latest graduate faculty listings, see <www.grad.umn.edu/faculty_rosters/faculty.html>.
Key to membership categories (abbreviations
after faculty names).
Professor
Scot Robert Adams, SM
Greg William Anderson, SM
Douglas Norman Arnold, SM
John Robert Baxter, SM
Sergey Germanovich Bobkov, SM
Maury Daniel Bramson, SM
Carme Calderer, SM
Bernardo Cockburn, SM
Mark F. Feshbach, SM
Bert E. Fristedt, SM
Paul B. Garrett, SM
Lawrence F. Gray, SM
Robert D. Gulliver, SM
Dennis A. Hejhal, SM
Naresh C. Jain, SM
Dihua Jiang, SM
Donald William Kahn, SM
Markus Keel, SM
Harvey Bayard Keynes, SM
Nicolai Vladimir Krylov, SM
Tian-Jun Li, SM
Walter Littman, SM
Mitchell B. Luskin, SM
Gennady Lyubeznik, SM
Albert Marden, SM
Richard P. McGehee, SM
William Messing, SM
Norman G. Meyers, SM
Willard Miller, SM
Richard B. Moeckel, SM
Claudia Neuhauser, Ecology, Evolution, and Behavior, SM
Wei-Ming Ni, SM
Andrew Odlyzko, SM
Peter John Olver, SM
Hans George Othmer, SM
Peter Polacik, SM
Karel L. Prikry, SM
Victor Schorr Reiner, SM
Fernando Leiva Reitich, SM
Peter A. Rejto, SM
Joel L. Roberts, SM
Mikhail V. Safonov, SM
Fadil Santosa, SM
Arnd Scheel, SM
George R. Sell, SM
Steven I. Sperber, SM
Dennis W. Stanton, SM
Vladimir Sverak, SM
Alexander A. Voronov, SM
Jiaping Wang, SM
Peter Joseph Webb, SM
Dennis E. White, SM
Ofer Zeitouni, SM
Associate Professor
Ionut Ciocan-Fontanine, SM
Jack Frederi Conn, SM
David L. Frank, SM
Ezra Miller, SM
Chester L. Miracle, SM
Wayne H. Richter, SM
Assistant Professor
Adrian Diaconu, SM
Tayler Lawson, SM
Gilad Lerman, SM
Marta Lewicka, SM
Yoichiro Mori, SM
Duane Q. Nykamp, SM
Daniel Spirn, SM
Panos Stinis, SM
Carlos Tolmasky, ASM
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