The Department offers a Master of Arts in Mathematics. The typical student chooses to focus their advanced study in one of three broad areas: applied mathematics, pure mathematics, or statistics. At the time of admission, students will be assigned a preliminary advisor to assist them in developing a course of study consistent with their specific goals, and monitor their progress until they can formally establish their own advisory committee before the end of the first year.

Degree Requirements

I. Base requirements:

Students must complete a program of study, consisting of at least 30 credit hours which must be approved by their advisory committee. At least 15 of these credits must be 500/600-level MAT/STS courses (exclusive of thesis and seminar credits). Additionally, there are two subject requirements and a depth requirement:

* (Depth) All students must take at least one two-semester sequence (STS 531/532, MAT 523/524, MAT 527/528, MAT 563/564, or MAT 577/578).

* (Linear Algebra) All students must take one or more of: MAT 562 Linear Algebra, MAT 564 Abstract Algebra II, or a course in Linear Statistical Models.

* (Real Analysis) All students must take MAT 523 Functions of a Real Variable I.

II. Choice of option:

A. Thesis Option: Students choosing to write a thesis under the supervision of a member of the Graduate Faculty need to take a total of 5 credits of MAT 699 (Graduate Thesis), in addition to a 1-credit course on responsible conduct of research (such as INT 601). The latter credit must be taken prior to enrolling in the fourth credit of MAT 699. Upon completion of the thesis, the student must present an oral defense.

B. Non-thesis Option: At least 24 credit hours must be at the graduate level, and at least 18 of these must be MAT/STS courses. Two written qualifying examinations must be passed prior to graduation, chosen from analysis, algebra, and statistics. Decisions for retakes are up to the student’s committee in consultation with the Graduate Coordinator.

III. Seminar Requirement: All graduate students must successfully give at least two seminars. It is suggested that one seminar be given in each of the fall and spring semesters of the second year. As this is a credit-bearing requirement, it is necessary to register. The assigned course number is MAT 590. For students following the thesis option, one credit of MAT 590 is required, and the thesis defense fulfills the second seminar requirement. For students in the non-thesis option, MAT 590 must be taken twice, once for each of the two seminars given. The talks should be prepared in consultation with and under the supervision of the advisor. Students should submit a short advisor-approved abstract to the graduate coordinator at least one week in advance of the seminar day, for inclusion in the announcement. The evaluation will be handled by the advisor in consultation with the members of the student’s advisory committee. A clear statement of the problem should be given with a brief historical sketch. All technical terms, specific to the area of expertise, should be clearly defined before they are used.

IV. Course Restrictions:

With permission of the Graduate Coordinator in consultation with the advisory committee, degree credit may be given for MAT/STS courses at the 400-level or for classes in other departments which have a significant mathematical emphasis or particular relevance to the thesis project. The following classes cannot be used among the 30 credits for the MA degree in Mathematics:

* Undergraduate courses which are required for the BA degree in Mathematics at the University of Maine. This includes MAT 425, MAT 463, and STS 434.

* If both MAT 452 and MAT 527 are taken, only one of them can count toward the MA degree.

Admission to the Program

In addition to satisfactory performance of the candidate as an undergraduate, as evidenced by transcripts, letters of recommendation, and G.R.E. scores, the Department requires one semester of real analysis (equivalent to MAT 425) and one semester of abstract algebra (equivalent to MAT 463). Occasionally, students can be admitted with a deficiency in one of these areas if the deficiency is made up in the first year of graduate study. Prospective students are encouraged to follow the application procedure here: http://umaine.edu/mathematics/graduate-program/application-procedure/

Four Plus BA/MA Program

The Department offers the opportunity for ambitious mathematics majors to begin taking graduate courses during their senior year, with the possibility of double-counting these credits toward the BA and the MA. Students must apply for the program by February 1 of their junior year.  Details may be found here: https://umaine.edu/mathematics/graduate-program/fourplus/

Teaching Assistantships

A limited number of graduate teaching assistantships are available. Teaching assistants are expected to spend approximately 17 hours per week either teaching a course or assisting a faculty member and working in the Math Lab, an open tutorial center. Assistantships are awarded on a competitive basis among all applicants, and the decision to renew an assistantship is based on performance in the first year of the student’s program of study.

Graduate Faculty

 

Eisso Atzema, Ph.D. (Utrecht University, Netherlands, 1993), Lecturer. History of mathematics, geometry, mathematics education.

Thomas Bellsky, Ph.D. (Michigan State University, 2011), Assistant Professor.  Dynamical systems, Data Assimilation, Weather and Climate Modeling.

David M. Bradley, Ph.D. (University of Illinois, Urbana 1995), Associate Professor and Chair Graduate Coordinator. Classical analysis, number theory, special functions, difference differential equations.

Robert Franzosa, Ph.D. (University of Wisconsin, 1984), Professor. Applied topology.

Pushpa L. Gupta, Ph.D. (Wayne State University, 1970), Professor. Statistics, biostatistics, reliability theory, multivariate analysis and modeling.

Ramesh C. Gupta, Ph.D. (Wayne State University, 1970), Professor.Statistics, biostatistics, probability, stochastic processes, reliability theory, mathematical models.

William Halteman, Ph.D. (University of Washington, 1980), Professor Emeritus. Biostatistics.

David Hiebeler, Ph.D. (Cornell University, 2001), Associate Professor. Mathematical ecology and epidemiology, modeling and simulation.


Andrew Knightly, Ph.D. (University of California, Los Angeles, 2000), Associate Professor and Graduate Coordinator. Number theory.

 

Randy (Chu Shing) Lai, Ph.D. (University of California, Davis, 2015), Assistant Professor.  Statistics.

Sergey Lvin, Ph.D. (University of Moscow, Russia, 1977), Lecturer.  Partial differential equations, applied mathematics.

Nigel Pitt, Ph.D. (Rutgers University, 1992), Professor. Analytic number theory.

William M. Snyder, Ph.D. (University of Maryland, 1977), Professor Emeritus. Number theory.

Natasha Speer, Ph.D. (University of California, Berkeley, 2001), Associate Professor. Mathematics Education.

 

Peter Stechlinski, Ph.D. University of Waterloo, 2014. Assistant Professor.  Dynamic modeling and simulation; control and optimization; mathematical biology.

 

Zheng Wei, Ph.D. (New Mexico State University, 2015), Assistant Professor. Statistics.

Benjamin Weiss, Ph.D. (University of Michigan, 2011), Assistant Professor. Number Theory.

Associate Graduate Faculty

 

Sougata Dhar, Ph.D. Northern Illinois University, 2017. Assistant Professor.  Applied mathematics (differential and difference equations, Non-linear boundary value problems, Mathematical inequalities).

 

Franziska Peterson, Ph.D. University of Wyoming, 2016. Assistant Professor. Mathematics Education.

 

Jerrod Smith, Ph.D. University of Toronto, 2017. Assistant Professor. Representation theory of p-adic groups.

 

Fan Zhou, Ph.D. Columbia University, 2013. Assistant Professor.  Number Theory.