In the summer of 2007 the Mathematics Department of the Pennsylvania State University will host a Research Experiences for Undergraduates site. Participants will be selected from qualified applicants. We encourage students to apply for both, Summer REU and our MASS program which runs in the Fall semester of each year. Participation in REU followed by MASS provides an opportunity for completing a more substantial long-term research project.
Application deadline is March 19, 2007.
The program will run for 7 weeks from July 3 to August 17, 2007. It will combine learning with research and include:
- two two-week mini-courses
- Groups and their connections to geometry
Instructor: Anatole Katok, Raymond N. Shibley Professor of Mathematics - Non-Euclidean geometry, modular surface, and coding of geodesics
Instructor: Svetlana Katok, Professor of Mathematics
- Groups and their connections to geometry
- Weekly seminar run by the program coordinator Misha Guysinsky, Assistant Professor of Mathematics
- Research projects
Each REU 2007 participant will recieve a stipend of $2,500, reimbursement for room and board, and travel reimbursement up to $500.
Application Materials
Applications will be considered as long as positions are still available.
- Application Form
- Transcript
- Record of Mathematics courses
- Essay describing student's interest in mathematics
- Two Faculty Recommendations
- Send your applications to:
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REU Summer Program
111 McAllister Building
Department of Mathematics
The Pennsylvania State University
University Park, PA 16802 - Make other inquiries at:
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Phone: 814-865-8462
FAX: 814-865-3735
E-mail: reu@math.psu.edu
Courses
GROUPS AND THIER CONNECTIONS TO GEOMETRY
NON-EUCLIDEAN GEOMETRY, MODULAR SURFACE, AND CODING OF GEODESICS
INSTRUCTOR: Svetlana Katok
COURSE SUMMARY:
In this mini-course we will explore connections between hyperbolic geometry, geodesics on the modular surface and various kinds of continued fractions. Particular topics will include: hyperbolic geometry (geodesics, isometries, hyperbolic area); modular group and its fundamental region; coding of geodesics on the modular surface via fundamental region and via various kinds of continued fractions.