The department offers programs leading to the Master of Arts, Master of Science, and Doctor of Philosophy degrees with a major in mathematics. Concentrations are available in pure, applied, or computer mathematics, in mathematics education, or in probability and statistics. As there are no sharp boundaries between these concentrations, students are encouraged to pursue a broad range of mathematical topics. Programs are planned in consultation with faculty advisers.
To be admitted, applicants must have completed the equivalent of an undergraduate major in mathematics with at least 15 units of upper-division or higher level work including one semester each of advanced analysis at the level of Math 425A, abstract algebra at the level of Math 415A, and linear algebra at the level of Math 413. Applicants are asked to submit scores on the Graduate Record Examination, including the subject Examination in Mathematics.
For the Master of Arts degree, requirements are: 30 units of approved graduate credit, including up to 6 units of thesis credit; 9 to 12 units must be in courses from departments other than Mathematics. At least one year-long course sequence in mathematics which is not co-convened must be included. Master of Arts (Teaching Option): 30 units of approved graduate credit, including up to 6 units of thesis credit; 9 to 12 units should be outside the Department of Mathematics or from the following list of graduate mathematics courses: Math 504, 530, and 596E (Topics in Mathematics for Secondary Teachers - contents will vary, the course may be repeated). At least 12 units of mathematics should not be from that list, and should include a year long course sequence which is not dual-numbered. Each candidate's course of study should be established in consultation with a member of the Mathematics Education Committee.
The faculty of the Department of Mathematics carries on research (and research seminars) in a variety of purely mathematical and interdisciplinary fields. In algebra and number theory, research includes group theory, rings and modules, algebraic number theory, representation theory, and primality testing. Research in analysis is being carried out on unbounded operators, quantum field theory, integrable systems, dynamical systems, and nonlinear problems of ecology, chemistry, and fluid dynamics. In geometry, there is work on algebraic geometry, moduli spaces, symplectic geometry, and Lie theory. In probability and statistics, projects involve reliability theory, stochastic processes, statistical inference, and nonparametric inference.
Statement of Purpose
Three Letters of Recommendation (letters must be dated and not more than a year old)
Description of past math-related coursework
Required test(s): GRE
Required GRE Subject tests: Mathematics
Recommended GRE Subject tests:
Minimum GRE Verbal:
Minimum GRE Quantitative:
Minumum GRE Written:
Minimum TOEFL: 550
Minimum IELTS: 7
Minumum credits: 30
Core coursework: See website http://math.arizona.edu/academics/grads/requirements/ms
Language requirements: See website http://math.arizona.edu/academics/grads/requirements/ms