Seminars at the Department of Mathematics
The Department of Mathematics has several active seminars in our research areas. Seminars feature presentations given by mathematics faculty, graduate students, faculty from other departments. Click a seminar link below to view speaker schedules and further details.
|Seminar Schedule for Spring 2019|
|Applied Mathematics and Scientific Computing Seminar|
|Dynamical Systems Seminar|
|Seminar in Discrete Mathematics
Difference Equations Seminar
Research at the Department
Currently our department has 14 permanent faculty members, 6 lecturers, and 16 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, Complex Dynamical Systems, Difference Equations, Numerical Analysis, and Applied Analysis. Also, individual faculty members perform research in other areas.
Discrete Mathematics ( M. Barrus, N. Eaton, J. Han, B. Kaskosz, W. Kinnersley, L. Thoma )
There are several faculty in the department working in a wide range of areas of discrete mathematics both pure and applied: graph theory, network theory, extremal and probabilistic methods, analytic methods, finite model theory, combinatorial games, combinatorial optimization. We teach courses in discrete mathematics at all levels and have an active weekly seminar where the faculty, graduate students, and visitors present their work and ideas. You can learn more about discrete mathematics at our department here.
Complex Dynamical Systems (M. Comerford, A. Medina-Bonifant, T. Sharland)
This area covers dynamics in one or more complex variables and related problems for one or more real variables. Recent topics worked on by the members of our department include dynamics of cubic polynomials, attractors in the real or complex projective plane and the dynamics of an infinite sequence of polynomials including holomorphic motions and polynomial-like sequences.
Difference Equations (M. Kulenovic, O. Merino)
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. Our group was founded by Professor Gerry Ladas, long-time Editor in Chief (with Saber Elaydi) of the Journal of Equations and Application (JDEA).
Numerical PDE and Numerical Linear Algebra (J.Baglama, T. Bella, L. Wu, V. Perovic)
Numerical solutions of partial differential equations. Numerical linear algebra and scientific computation, specifically working in structured problems, deriving fast algorithms. Eigenvalues of large matrices. 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
Optimization and Control (B. Kaskosz, O. Merino)
Both Professor Merino and Professor Kaskosz are currently focused on other areas of research. In the past, they did much research in Optimization and Control Theory, in particular, in H-infinity Control, Nonsmooth Control and Differential Inclusions.
Probability (J. Chavez-Casillas, L. Thoma)
The research in probability is primarily focused on applications to mathematical finance, probabilistic modeling of natural phenomena, and probabilistic models, including models of random graphs, networks, and percolation.