Currently, our department has 16 research faculty members, 9 lecturers, and 16 graduate teaching assistants. 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.
Complex Dynamical Systems
Delve into dynamics in complex variables, including topics like cubic polynomials and attractors. Discover more about Complex Dynamical Systems.
URI's math department is a global hub for learning in Difference Equations, focusing on the global behavior of nonlinear DEs. Explore our contributions in Difference Equations.
Explore and analyze large datasets to extract valuable insights, patterns, and predictions. Leverage cutting-edge techniques in machine learning, statistical modeling, and data analytics to solve real-world problems across various domains, from healthcare to business.
Dedicated to mathematical modeling and analysis of financial markets. Develop tools for risk management, asset pricing, and portfolio optimization, enhancing decision-making in finance.
Numerical PDE's & Linear Algebra
Focus on numerical solutions of partial differential equations, linear algebra, and scientific computation. Work includes structured problems, fast algorithm derivation, and eigenvalues of large matrices. Applications range from blood flow to airway dynamics in biology, groundwater, and population control.
Optimization and Control
Specialize in Optimization and Control Research, covering theory and applications in statistics, machine learning, data science, and economics. Develop deterministic and stochastic optimization methods, applying them to engineered systems, hybrid systems, networked systems, and autonomous vehicles. Explore feedback control for optimizing and stabilizing system performance.