The UVa Department of Mathematics is organizing a summer research experience for students interested in Number Theory, Representation Theory and Topology in 2020. We seek a diverse group of approximately 20-24 participants selected from a nationwide search.  We expect to select approximately half the participants from the mid-Atlantic region, and particularly encourage applications from all colleges and universities in Virginia and neighboring states.  Most of the participants will be US citizens or permanent residents who are presently enrolled in a US undergraduate institution or high school. In the past, we have offered openings to high school students who are adequately prepared for the program. All supported participants will receive a $5250 stipend and free accommodations in on-grounds furnished apartments (Bice Hall).

The program will consist of research mentorship, mini-courses, a weekly colloquium series, and professional development activities. Research projects shall be offered in the following fields:

· Number Theory

· Geometry and Topology

· Representation Theory


Participants will work in small groups on level-appropriate research projects. The projects shall range from entry level undergraduate research through beginning graduate level work. This program is possible thanks to generous funding from the NSF (notably an NSF REU grant and the UVa NSF Research Training Grant (RTG) in Geometry and Topology, NSA, and private donors.

Selection for the program will be based on mathematical enthusiasm and potential as demonstrated in the applicant’s personal statement and letters of recommendation, along with mathematical ability as reflected in the academic transcript, letters of recommendation, and any prior research experience. Additional factors such as access to prior academic opportunity, geographic proximity to UVa, and membership in a group underrepresented in mathematics will also be considered.

Management Team. The program will be managed by UVa mathematics professors Julie Bergner, Thomas Mark, and Ken Ono.

Julie Bergner is an algebraic topologist and a recipient of an NSF CAREER grant; she has supervised undergraduate research projects for the past nine years, some of which were supported by programs specifically aimed at increasing diversity in mathematics.

Thomas Mark is a geometric topologist and the principal investigator on the Research Training Grant that partially supports this program. He has assisted in the supervision of summer undergraduate research at UVa for the last several years.

Ken Ono, number theorist, Thomas Jefferson Professor of Mathematics and Vice President of the American Mathematical Society, has been organizing REU programs since 1999 (formerly at U. Wisconsin (Madison) from 2003-2009, and Emory University from 2010-2019). Over 200 students, including a Rhodes Scholar, multiple Marshall Scholars, 6 Morgan Prize winners and 6 Schafer Prize winners have enjoyed these programs.