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 | Mathematics | 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. 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.
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).
Entering students are ordinarily admitted to the master's degree program. Transfer to the Ph.D. program is made when the Ph.D. preliminary written examination is passed, and does not require earning a master's degree.
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 University Courses 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. | M.S. Degree Requirements | | 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, with emphasis in mathematics education, and with emphasis in actuarial science. 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. | Ph.D. Degree Requirements | 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 must 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 must pass by the end of their fourth year. If a supporting program is chosen, it may consist partly or entirely of mathematics courses.
The choice of courses and exams for the emphasis in applied and industrial mathematics is different from those in the general program. In particular, applications are stressed early on.
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. |
Faculty | | 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
Stephen B. Agard, 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
Jay R. Goldman (emeritus), SM
Lawrence F. Gray, SM
Robert D. Gulliver, SM
Dennis A. Hejhal, SM
Naresh C. Jain, SM
Dihua Jiang, SM
Max A. Jodeit, Jr., SM
Donald William Kahn, SM
Markus Keel, SM
Harvey Bayard Keynes, SM
Nicolai Vladimir Krylov, 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
Hillel H. Gershenson, SM
Tian-Jun Li, SM
Ezra Miller, SM
Chester L. Miracle, SM
Wayne H. Richter, SM
Assistant Professor
Adrian Diaconu, SM
Gilad Lerman, SM
Marta Lewicka, SM
Duane Q. Nykamp, SM
Jianhong Shen, SM
Daniel Spirn, SM
Carlos Tolmasky, ASM | | | | | |
