Currently our department has 18 permanent faculty members, several lecturers, and about 30 graduate students. The graduate programs offered are Doctor of Philosophy and Master of Science. Research activities are mainly concentrated in the areas of Combinatorics and Graph Theory, Difference Equations, Numerical PDE, Applied Analysis. Also, individual faculty members perform research in other areas.

Combinatorics (D. Clark, N. Eaton, N. Finizio, W. Kook, J. Lewis, L. Thoma)
There are several combinatorists in the department working in the areas of extremal and probabilistic combinatorics, algebraic and topological combinatorics, design theory, enumeration, and graph theory. There is a weekly seminar where the faculty, graduate students, and visitors present their work and ideas. Recent topics have been: whist tournaments, problems with elegant solutions, thresholds, random structures, the Tutte Polynomial, pebbling, list colorings of graphs, transversals of hypergraphs, and tree-representations of graphs.

For more information see: http://www.math.uri.edu/~eaton/,  http://www.math.uri.edu/~finizio/,  http://www.math.uri.edu/~jlewis/,  http://www.math.uri.edu/~thoma/.

Difference Equations (E. Grove, M. Kulenovic, G. Ladas, D. Clark)
The Department of Mathematics at the University of Rhode Island is an internationally recognized center of learning in the area of Difference Equations (DE for short) with a long tradition of substantial contributions in this field.  Several graduate students, faculty members, and visitors are actively involved in research on DE's.  We teach courses on DE's at all levels, have an active seminar, and are involved nationally and internationally in organizing Special Sessions and Conferences on DE's.  For the most part, we focus on the development of the basic theory of the global behavior of nonlinear Difference Equations of order greater than one, related to the global stability and periodicity of solutions. Professor Gerry Ladas, Editor in Chief (with Saber Elaydi) of the Journal of Equations and Application (JDEA), is also responsible for the section on ``OPEN PROBLEMS AND CONJECTURES'' which is published bimonthly in the JDEA, and which provides a wealth of research problems and new directions in DE's.

For more information see: http://www.math.uri.edu/~grove/ ,  http://www.math.uri.edu/~kulenm/,  http://www.math.uri.edu/~gladas/.
 
 

Numerical PDE, Applied Analysis, Complex Analysis, Optimization and Control (J.Baglama, B. Kaskosz, A. Medina-Bonifant, L. Pakula, O. Merino, L. Wu)
There is a seminar where research and topics of interest are presented.  Research areas include numerical analysis, numerical solutions of partial differential equations, mathematical modeling and computer simulation of blood flow in artery, air flow in the human airway, and related applications in the areas of biology, groundwater and population control,  functions analytic on the unit disk, optimization and semidefinite programming, optimal control, nonsmooth control systems, differential inclusions, applied harmonic analysis, complex dynamical systems.

For more information see  http://www.math.uri.edu/~jbaglama/,   http://www.math.uri.edu/~bkaskosz/,   http://www.math.uri.edu/~merino/,    http://www.math.uri.edu/~bonifant/,  http://www.math.uri.edu/~pakula/,   http://www.math.uri.edu/~liwu/

Also,
Prof. D. Datta's area of interest is Math Education. Professors E. Suryanarayan and R. Beauregard do research in Number Theory.   http://www.math.uri.edu/~beau/.