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:
- Two mini-courses
- Geometry of Polynomials
Instructor: Sergei Tabachnikov, Professor of Mathematics and MASS Director
July 5 - July 15
- Elements of Fractal Geometry and Dynamics
Instructor: Yakov Pesin, Distinguished Professor of Mathematics
July 19 - July 29
- Geometry of Polynomials
- Weekly seminar run by the program coordinator Misha Guysinsky
- Research projects
- MASS Fest, a two day conference Conference schedule
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
E-mail: reu@math.psu.edu
Course Descriptions
GEOMETRY OF POLYNOMIALS
July 5 - July 15
TIME: MTWR 11:00 am - 1:00 pm
INSTRUCTOR: Sergei Tabachnikov
ELEMENTS OF FRACTAL GEOMETRY AND DYNAMICS
July 19 - July 29
TIME: MTWR 11:00 am - 1:00 pm
INSTRUCTOR: Yakov Pesin
Schedule
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.
Lunch
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.
Lunch
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.