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THE DEPARTMENT The Mathematics Department has 25 tenured and tenure-track faculty, 8 postdoctoral instructors, 3 lecturers, a variety of visitors, 47 graduate students, and over 230 undergraduate majors. Courses are taught in a variety of mathematical areas, and research is done in many diverse fields. All permanent mathematics faculty are internationally prominent in their research specialties. The faculty are often invited as visitors overseas, are involved in organizing major conferences, and serve on the editorial boards of many journals. Most of our faculty have been recipients of prestigious awards including NSF CAREER awards, and Sloan, AMS, Guggenheim, and Fulbright Fellowships. Two of our faculty were invited speakers at the 2014 International Congress of Mathematicians. The Department has had a significant presence in the American mathematical community since the 19th century. In the 2010 ratings by the National Research Council, the Department had an S-rating of between 24 and 56, and a students rating of between 2 and 33, out of 126 departments assessed. The Department is housed in Kerchof Hall on the central grounds of the University. THE UNIVERSITY The University of Virginia was founded in 1819 by Thomas Jefferson, who established the curriculum and designed the buildings which still provide a focus for the University, allowing close contact between the students and faculty, and promoting Jefferson's ideal of an "academical village" for the free exchange of ideas between fields. Today the University has grown to a community of 20,000 students, including 6,300 graduate and professional students, and nearly 2,000 faculty in ten schools. The College and Graduate School of Arts and Sciences, with undergraduate and graduate programs in 24 departments, defines, as it has from Jefferson's day, the core of the University. The University is located in Charlottesville near the foothills of the Blue Ridge Mountains. The region is unmatched in the richness of historic sites, museums, and landmarks, and is known for its fine restaurants and local wineries. Charlottesville is 110 miles from Washington, D.C, 70 miles from the state capital, Richmond, and a 20-minute drive from Shenandoah National Park.