Faculty
Chair
Wolpert, Scott A., Full Member
Associate Chair
Adams, Jeffrey D., Full Member
Fitzpatrick, Patrick M., Full Member
Machedon, Matei, Full Member
Okoudjou, Kasso A., Full Member
Smith, Paul J., Full Member
Director of NWC
Benedetto, John J., Full Member
Distinguished Scholar-Teacher
Benedetto, John J., Full Member
Goldman, William M., Full Member
Lay, David C., Full Member
Levy, Doron, Full Member
Washington, Lawrence C., Full Member
Wolpert, Scott A., Full Member
Distinguished University Professor
Freidlin, Mark I., Full Member
Novikov, Sergey, Full Member
Tadmor, Eitan, Full Member
Professor
Adams, Jeffrey D., Full Member
Balan, Radu, Full Member
Benedetto, John J., Full Member
Brosnan, Patrick, Full Member
Cerrai, Sandra, Full Member
Cohen, Joel M., Full Member
Czaja, Wojciech, Full Member
Dolgopyat, Dmitry, Full Member
Fitzpatrick, Patrick M., Full Member
Forni, Giovanni, Full Member
Freidlin, Mark I., Full Member
Goldman, William M., Full Member
Grillakis, Manoussos, Full Member
Gulick, Denny, Full Member
Haines, Thomas J., Full Member
Halperin, Stephen, Full Member
Hamilton, David H., Full Member
Jabin, Pierre-Emmanuel, Full Member
Jakobson, Michael, Full Member
Kagan, Abram, Full Member
Kaloshin, Vadim, Full Member
Kedem, Benjamin, Full Member
Koralov, Leonid, Full Member
Laskowski, Michael C., Full Member
Levermore, Charles D., Full Member
Levy, Doron, Full Member
Machedon, Matei, Full Member
Margetis, Dionisios, Full Member
Mellet, Antoine, Full Member
Millson, John J., Full Member
Nochetto, Ricardo H., Full Member
Novikov, Sergey, Full Member
Okoudjou, Kasso A., Full Member
Ren, Jian-Jian, Full Member
Rosenberg, Jonathan M., Full Member
Schafer, James A., Full Member
Slud, Eric Victor, Full Member
Tadmor, Eitan, Full Member
Tamvakis, Harry, Full Member
Washington, Lawrence C., Full Member
Wentworth, Richard A., Full Member
Wolpert, Scott A., Full Member
Associate Professor
Cameron, Maria, Full Member
Melnick, Karin, Full Member
Ramachandran, Niranjan, Full Member
Rubinstein, Yanir A., Full Member
Smith, Paul J., Full Member
von Petersdorff, Tobias, Full Member
Assistant Professor
Bedrossian, Jacob, Full Member
Gholampour, Amin, Full Member
Gutierrez, Osvaldo, Full Member
Saegusa, Takumi, Full Member
Sun, Tingni, Full Member
Zickert, Christian, Full Member
Affiliate Professor
Elman, Howard C., Full Member
Gasarch, William, Full Member
Gates, Sylvester James, Jr., Full Member
Distinguished University Professor Emeritus
Antman, Stuart S., Full Member
Babuska, Ivo M., Full Member
Yorke, James A., Full Member
Professor Emerita
Ehrlich, Gertrude, Full Member
Herb, Rebecca A., Full Member
Lehner, Ellen Correl, Full Member
Yang, Grace L., Full Member
Professor Emeritus
Adams, William W., Full Member
Alexander, James C., Full Member
Auslander, Joseph, Full Member
Berenstein, Carlos A., Full Member
Boyle, Michael M, Full Member
Brin, Michael I., Full Member
Cooper, Jeffery M., Full Member
Ellis, Robert L., Full Member
Fey, James T., Full Member
Glaz, Harland M., Full Member
Goldhaber, Jacob K., Full Member
Green, Paul S., Full Member
Grove, Karsten, Full Member
Hunt, Brian R., Full Member
Johnson, Raymond L., Full Member
King, Henry C., Full Member
Kirwan, William E., Full Member
Kleppner, Adam, Full Member
Kueker, David W., Full Member
Lay, David C., Full Member
Lipsman, Ronald L., Full Member
Markley, Nelson G., Full Member
Neri, Umberto, Full Member
Owings Jr., James C., Full Member
Schneider, David I., Full Member
Wolfe, Peter, Full Member
Associate Professor Emeritus
Berg, Kenneth R., Full Member
Dancis, Jerome, Full Member
Helzer, Garry A., Full Member
Sather, Jerome O., Full Member
Schneider, David I., Full Member
Warner, C. Robert, Full Member
Mathematics (MATH)
Program Title and Classification
Mathematics
Graduate Degree Program
College: Computer, Mathematical, and Natural Sciences
Abstract
Three programs are currently closely affiliated with the Mathematics Department: the Mathematics Program (MATH), the Applied Mathematics & Statistics, and Scientific Computation Program (AMSC), and the Mathematical Statistics Program (STAT). Students applying for admission should use the appropriate symbol to indicate their program of interest. The interdisciplinary Applied Mathematics & Statistics, and Scientific Computation Program offers three concentrations, one in applied mathematics, one in scientific computation, and one in applied statistics. The Statistics Program is concerned with mathematical statistics and probability. The AMSC and STAT programs are described in detail elsewhere in this catalog.
Students can earn a Doctor of Philosophy degree in the Mathematics Program. Admission for a Master’s of Arts degree only is rare and only considered on a case by case basis. The master’s degree is not required for entrance to the Ph.D. program.
The Mathematics Program offers graduate programs in algebra and algebraic geometry, complex analysis, dynamical systems and chaos, geometry, harmonic analysis, mathematical logic, number theory, numerical analysis, ordinary differential equations, partial differential equations, probability, real and functional analysis, representation theory, statistics and topology.
Admissions Information
General Requirements:
- Statement of Purpose
- Transcript(s)
- TOEFL/IELTS/PTE (international graduate students): TOEFL/IELTS required even if eligible for waiver.
Program-Specific Requirements:
- Letters of Recommendation (3)
- Graduate Record Examination (GRE)
- CV/Resume
- Supplementary Application
- Publications/Presentations
- Advanced Textbooks (section of application)
- GRE Subject (Math)
For more admissions information or to apply to the program, please visit our Graduate School website: www.gradschool.umd.edu/admissions
Application Deadlines
Type of Applicant | Fall |
---|---|
Domestic Applicants: US Citizens and Permanent Residents |
20 Dec |
International Applicants: F (student) or J (exchange visitor) visas A,E,G,H,I and L visas and immigrants. |
20 Dec |
Other Deadlines: Please visit the program website at http://www-math.umd.edu
Degree Requirements
Master of Arts (M.A.)
Total Credits | Core Requirements |
---|---|
Thesis option: 30 credits Non-thesis option (scholarly paper): 30 credits | Thesis option requires 24 credits of coursework with at least 15 credits at the 600-700 level. Of those 15 credits, at least 12 credits must be at the 600-700 level in mathematics. In addition, students must take six credits of MATH 799: Master's Thesis Research and pass a final oral examination. Non-thesis option requires 30 credits of coursework with at least 18 credits at the 600-700 level. Of those 18 credits, at least 12 credits must be at the 600-700 level in mathematics. In addition, students must pass two written exams at the Master's level, complete the corresponding coursework, write a scholarly paper, and pass a final oral examination. |
The M.A. degree program offers both a thesis and non-thesis option; most students choose the latter. The non-thesis option requires students to take 30 credit hours with an average of at least a B. At least 18 credits must be at the 600/700 level, including at least 12 hours in mathematics. Also, students must complete two full-year sequences at the 600/700 level, except that a suitable "Selected Topics" course may be substituted for the second part of one of these full-year courses. Additionally, students must pass Departmental written examinations in two different mathematical fields at the Master's level, and write a scholarly paper.
The thesis option requires a total of 24 hours of courses carrying graduate credit of which at least 15 are at the 600/700 level. Of these 15 hours at least 12 must be in mathematics. Of these 12 hours, at least 3 hours must be in each of two fields of mathematics distinct from the one in which the thesis is written, and must be passed with a grade of B or better. The student must also take 6 hours of thesis research, write a satisfactory thesis, and pass a final oral examination.
The M.A. degree includes no foreign language requirement. Generally it takes two to three years to earn the M.A., and approximately 20 degrees are granted each year in mathematics (MATH, STAT, and AMSC combined).
The department also has a 5-year program to earn a combined M.A./B.S. degree. The requirements for this program include the requirements for both the B.S. degree and the M.A. degree, with 9 hours of overlapping credits. Either the thesis or non-thesis option for the M.A. degree is available in this program.
Doctor of Philosophy (Ph.D.)
Core Requirements |
---|
Doctoral students are required to complete 36 credits of coursework with at least 27 credits at the 600-700 level and at least 18 credits in the Department of Mathematics. In addition, 12 credits of MATH 899: Doctoral Dissertation Research are required. Students are also required to pass the written examination requirements, pass a foreign language exam, and pass the final oral examination. |
The Ph.D. program does not require an M.A. degree, but applicants who are accepted should show, on the basis of their undergraduate record and recommendations, that they possess not only marked promise in mathematical activities but the potential to perform on a creative level. Like the M.A. program, admission may be granted on a provisional basis.
Students in the Ph.D. program must complete a minimum of 36 hours of formal coursework (at least 27 at the 600/700 level) with an average grade of B or better; at least 18 hours must be taken in the Department of Mathematics. In addition, the university requires at least 12 hours of MATH 899 (Doctoral Research). Ph.D. students must pass two qualifying exams, and in addition must take and pass four semesters of courses from a specific list with a grade of B or better, and an overall grade point average of at least 3.3 in these four courses (these courses constitute the third and final qualifying exam requirement). These four courses must be distinct from the ones supporting the qualifying exams. The purpose of the written qualifying exams is to indicate that the student has the basic knowledge and mathematical ability to begin advanced study. Passing the exams is thus supposed to certify understanding of (selected) first-year graduate material. These examinations are given twice a year, in January and August. A student may take one or more examinations at a time. The two qualifying exams and four additional courses, must be passed/completed by January of the student's third year in the graduate program. If successful in these written examinations and courses, students must do advanced reading and coursework in their special area of interest before they can be admitted to candidacy and begin dissertation research. The dissertation must represent an original contribution to mathematical knowledge and is usually published in a mathematical journal.
Generally Ph.D. students spend about six years before obtaining the degree. The combined programs of mathematics, applied mathematics and statistics award an average of 18 Ph.D.s each year. The Ph.D. program has a foreign language requirement. Before a student can schedule the Final Oral Examination, he or she must pass a written examination in either French, German or Russian. The language examinations are composed and graded within the Department and involve translating a passage from a mathematical text into competent English.
Facilities and Special Resources
The Department is actively involved in research in a number of areas, strengthened further by a complement of mathematicians from the Institute for Physical Science and Technology. The Department fosters a lively program of seminars and colloquia; about half of these talks are given by outside specialists. In addition the department has a tradition of hosting distinguished long term visitors who give series of seminar talks or teach semester long courses.
The Engineering and Physical Sciences Library is located on the ground floor of the Mathematics Building and contains more than 95,000 volumes in mathematics, physics and engineering, and more than 280 journals in pure and applied mathematics. The Library of Congress, with its extensive collection of books and technical reports, is only a half hour from campus.
The Department has a large network of computers mostly running Linux. The Department houses a computer classroom and a Mathematical Visualization Lab, and similar labs are scattered across campus. There are computers in almost all graduate student offices, and many of the other computers on campus are available for student use.
The Department cooperates closely with the Institute for Physical Science and Technology and with the Department of Computer Science. Faculty members of both groups offer courses in the Department. Computer facilities are available to serve the research needs of both faculty and graduate students. Members of the Department participate actively in the interdisciplinary AMSC Program, and they also staff the Mathematical Statistics Program.
Financial Assistance
The MATH program is expecting to support about 12 new doctoral students each Fall. Offers of support are generally made for up to five years, contingent on the student making satisfactory academic progress. Except for unusual circumstances, offers of financial aid will not be made to applicants seeking a Master’s degree. The normal teaching load is four to six hours per week of classroom teaching in addition to the duties of meeting with students and grading papers. Sometimes fellowships and research assistantships are also available.
Contact Statement
More information about the Mathematics Graduate Program is available at www-math.umd.edu/graduate/, and information about admissions is available at www-math.umd.edu/graduate/prospective-students.html/.
For questions regarding Departmental programs, admission procedures, and financial aid, contact:
Website
Contacts
Ms. Celeste Regalado, Program Coordinator
1112 Mathematics Building
University of Maryland
College Park
MD, 20742
Telephone: (301) 405-5058
mathgrad@deans.umd.edu">mathgrad@deans.umd.edu
Associated Information
Courses
Relationships
Applied Mathematics & Statistics, and Scientific Computation (AMSC)