MS in Mathematics, MS in Industrial and Applied Mathematics, MS in Operations Research, PhD in Mathematics
The Department of Mathematics at Northeastern University consists of internationally renowned researchers in both pure and applied fields of mathematics. The department is a contributing member of the Mathematical Science Research Institute in Berkeley, California. Graduates of the program have gained prestigious positions in both industry and academia. The department offers 3 master of science (MS) degrees (two in applied mathematics), and a doctoral program.
MS in Mathematics
The Master of Science (MS) in Mathematics program prepares students for the PhD program in mathematics or for careers in government or industry. Students can choose from 4 areas of specialization: pure mathematics; discrete mathematics; probability and statistics; and applied analysis. Students take 8 4-semester hour courses and can choose a thesis option in their final year of study.
MS in Industrial and Applied Mathematics
One of two applied mathematics master degree programs, the MS in Industrial and Applied Mathematics provides students with basic training in mathematical methods while allowing them to take a wide variety of courses in advanced topics both within and outside the department. Students complete 3 core courses, which may include Introduction to Mathematical Methods and Modeling, Applied Statistics, and Analysis I. With the remaining 5 electives, students can develop an area of specialization within the field of applied math.
MS in Operations Research
The MS in Operations Research program, another applied mathematics master's degree program, trains students in the theory and techniques of operations research and its application to real-world problems. Through 4 core courses and 4 electives, students master the skills needed to analyze complex optimization problems of both a stochastic and deterministic nature. Core courses include Engineering Probability and Research and Deterministic Operations Research, while electives include Data Structures, Reliability and Risk Assessment, Economic Decision Making, and Warehousing and Scheduling.
PhD in Mathematics
Doctoral students in Mathematics at Northeastern University can specialize in one of 5 areas: algebra; geometry/topology; geometric analysis/PDE; probability/statistics; or combinatorics. Students complete 8 4-semester hour courses and 2 dissertation courses. Students develop a minor specialty in a topic of an advanced nature but unrelated to the dissertation. In addition, students acquire teaching experience and gain sufficient mastery of French, German, Russian, or another approved foreign language in order to translate mathematic texts and journals from that language.
Outstanding Research Opportunities
The mathematics department at Northeastern University conducts research in a wide range of fields in both applied and pure mathematics. Algebra researchers at Northeastern investigate topics in homological algebra, commutative algebra, algebraic geometry, representation theory, and quantum groups, with connections to combinatorics, topology, singularities, Lie groups, and physics. Professor Gordana Todorov's joint highly-cited paper "Tilting theory and Cluster Combinatorics" introduces a new class of categories associated with quivers. The combinatorics and discrete math group explores graph theory, algebraic combinatorics, and discrete and combinatorial geometry. Professor Egon Schulte recently received a 3-year research grant from the National Science Foundation (NSF) to study the symmetry of discrete geometric structures. As part of a group that explores topology and singularities, Schulte also published the prominent monograph "Abstract Regular Polytopes" with Peter McMullen. Within the field of probability and statistics, the department's major interests are in bioinformatics and biostatistics, estimation problems, and quantum computing and quantum information theory. Professor Mikhail Malioutov has received funding from the NSF, the Massachusetts Department of Public Health, and the Department of Education for this work, which includes developing probabilistic models of protein dynamics. Within the field of analysis, the department's research includes geometric analysis, partial differential equations, dynamical systems, mathematical physics, and ergodic theory. Maxim Braverman NSF-funded research includes work on analysis on manifolds, index theory, symplectic geometry, and analytic torsion. The department is also engaged in interdisciplinary research in the subfields of mathematical physics, biostatistics and bioinformatics, computer vision, computer networks, quantum information theory, and linguistics. The Matthews Distinguished University Professor has published over 140 papers and books. He has worked on many problems in quantum theory.