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Research Overview

Our faculty is engaged in world-class research in several areas of pure and applied mathematics. The department includes a good number of winners of prestigious awards, and the research conducted at the department is supported by multiple research grants awarded by the National Science Foundation, the Department of Energy, the US Army Research Office and the Simons Foundation. It is an exciting place to discover, study, explore and analyze the amazing structures that surround us in nature, art and science.

Our researchers lead first-rate research groups in algebra and logic, algebraic geometry, approximation theory, combinatorics and graph theory, geometric group theory, geometry and topology, harmonic analysis, mathematical biology, mathematical data analysis, mathematical physics, operator theory, operator algebras and quantum symmetries, number theory, partial differential equations, signal processing, and other research areas. See Faculty by Specialty for more information about current research projects undertaken in our department.

Our weekly research seminars feature numerous talks in these areas, and the weekly colloquium brings well-known mathematicians in all areas of mathematics to the department. Our research groups also run learning seminars that help doctoral students and postdoctoral fellows successfully navigate research frontiers.

The research groups in the department organize every year the Shanks Lecture, a distinguished lecture or lecture series that features a high-profile mathematician. It is always combined with a stimulating international research conference. For more information, see Shanks Conferences. In addition to the annual Shanks conference, our research faculty typically organizers several Shanks workshops on current hot research topics, see Upcoming Events.

For additional information, read more about our faculty and their areas of expertise.