The Mathematics Department administers programs leading to Master of Arts, Master of Science, and Doctor of Philosophy degrees in mathematics. These programs provide diverse opportunities for advanced study and research in algebra, analysis, topology, mathematical physics, history of mathematics, and probability. The Mathematics Department has about 25 regular faculty members, nearly a dozen visitors and postdocs, and 47 graduate students, creating a close-knit community of faculty and students.
The Mathematics Department is classified as a Group I department by the American Mathematical Society, the smallest such department at a public university in the country. All permanent mathematics faculty are internationally prominent in their research specialties. The faculty are often invited as visitors overseas, a number have been involved in organizing major national conferences, and many serve on the editorial boards of major journals. Most have been recipients of prestigious awards, including Sloan, NSF Postdoctoral, NSF CAREER, AMS, and Guggenheim Fellowships. In recent years, eight of our faculty have written books and papers chosen for a 'Featured Review' by Math Reviews, deemed by the AMS to be the among the best 100 publications of the year in the world of mathematics. In addition, two of our faculty are included in the ISI Highly Cited list of the 50 most cited mathematicians worldwide.
Our Whyburn Instructor postdoctoral program has in recent years brought us some of the world's best new Ph.D.'s in areas including probability, algebraic topology, algebraic coding theory, mathematical physics, and pde's.
Numerous subfields of mathematics are represented in the research of the faculty. In algebra, the main areas are linear and arithmetic groups and associated structures, nonassociative algebra and geometry, and representation theory. In analysis, the focus is on differential equations and applied mathematics, operator theory, operator algebras, and function theory, probability, and mathematical physics. In topology, algebraic topology and geometric topology are both studied. In our history of mathematics program, emphasis is on the nineteenth and twentieth centuries.
Besides a series of weekly colloquium lectures, there are also research seminars in operator theory/operator algebras, mathematical physics, algebraic topology, geometric topology, differential equations, algebra, probability, and history of mathematics. The graduate student seminar serves as a meeting place for graduate students and junior faculty to talk about mathematics, and fosters an unintimidating atmosphere for discussion.
The Department and library are located in Kerchof Hall. The library houses a research collection primarily for the use of mathematics faculty and graduate students, with about 36,000 volumes. Additional mathematics materials are housed in the adjacent Brown Science and Engineering Library. The University of Virginia Library has hundreds of print and online subscriptions to most major journals in mathematics and statistics that support the teaching and research activities of the Mathematics Department. The Department has a well-equipped computing laboratory available to faculty and graduate students, as well as a computer in every office.