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.

Research Areas

Complex Dynamical Systems

Delve into dynamics in complex variables, including topics like cubic polynomials and attractors. Discover more about Complex Dynamical Systems.

Difference Equations

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.

Discrete Mathematics

Explore various areas of discrete mathematics, from graph theory to combinatorial optimization, at our department. Learn more about Discrete Mathematics.

Data Science

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.

Financial Mathematics

Dedicated to mathematical modeling and analysis of financial markets. Develop tools for risk management, asset pricing, and portfolio optimization, enhancing decision-making in finance.

Mathematics Education

Focus on improving teaching and learning of mathematics at all levels. Design innovative curriculum materials, conduct pedagogical research, and implement effective teaching strategies to foster a deep understanding and inspire lifelong passion for learning in students.

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.

Probability

Focus on probability applications in mathematical finance, probabilistic modeling of natural phenomena, and random graphs, networks, and percolation models.