REU 2010

In the summer of 2010 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 February 28, 2010.

The program will run from June 28 to August 13, 2010. It will combine learning with research and include:

Each REU 2010 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:
REU Summer Program
111 McAllister Building
Department of Mathematics
The Pennsylvania State University
University Park, PA 16802
Make other inquiries at:
Phone: 814-865-8462
FAX: 814-865-3735

Course Descriptions


July 5 - July 15

TIME: MTWR 11:00 am - 1:00 pm

INSTRUCTOR: Sergei Tabachnikov


July 19 - July 29

TIME: MTWR 11:00 am - 1:00 pm



Wednesday, August 11

10:30-10:40 John Roe, Opening remarks

10:40-11:10 Adeel Khan, Monica Nastasescu Algebraic geometry and some theorems from elementary geometry.

11:20-11:50 Benjamin Hirsch, Cristian Anderson, Anirudha Balasubranaman Poncelet and Cayley-type problems on an ellipsoid in Minkowski space.

12:00-12:30 Aaron Berkowitz Oscillation and boundedness properties of bicycle curves.


2:00-2:45 Serge Tabachnikov Triangulation of a square.

3:00-3:30 Joseph Hughes, Edmund Karasiewicz DNA inequality and integral geometry.

3:40-4:10 Navarrete Ray, Kuney Andre, Kroeger Nell, Conn Zach Periodic billiard orbits in convex polytopes

Thursday, August 12

10:30-11:00 Nicolas Fernandez-Aria, Yaroslav Vergun, Charles Wolf Geodesics on surfaces of non-positive curvature.

11:20-11:50 Matthew Hom, Luke Rast, Brandon Warner, William Wright Selected topics in one-dimensional dynamics.

12:00-12:30 Jed Chou,Joseph Novakovich, Alexandra Pushkar Outer billiards in hyperbolic plane.


2:00-2:45 A.Katok Around closed geodesics

3:00-3:30 Akhil Mathew, Gabriel Karpman, Artem Kotelskiy, Moor Xu, Livsic theorem for semiderict products.