In the summer of 2012 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 29, 2012.
The program will run from June 27 to August 8, 2012. It will combine learning with research and include:
- One mini-course: Topics in Convexity
Instructor: Viorel Nitica, Professor of Mathematics
- Weekly seminar run by the program coordinator Misha Guysinsky
- Research projects
- MASS Fest, a two day conference
Only US citizens and permanent residents are eligible for funding. Applications from international students are accepted, but if admitted, they will have to cover their own expenses.
Each eligible REU 2012 participant will receive a stipend of $2,500, reimbursement for room and board, and travel reimbursement up to $500.
(1) If English is not your native language please ask your recommenders to comment on your English proficiency in their letters;
(2) If admitted to the program, you will need to provide a proof of health insurance that meets the Exchange Visitor regulations or proof of personal funds sufficient to purchase such an insurance, and a proof of additional personal funds of $550 for miscellaneous expenses;
(3) Please make sure that your transcripts are translated into English.
Applications will be considered as long as positions are still available.
- Application Form
- 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:
TOPICS IN CONVEXITY
INSTRUCTOR: Viorel Nitica, Professor of Mathematics
COURSE DESCRIPTION: We start with introductory topics in topology: topological spaces, Euclidean topology, continuous functions, compact spaces, metric spaces, Heine-Borel theorem. We continue with topics in convexity: Helly, Radon and Caratheodory theorems. We intro- duce convexity in dioids (max-plus and max-min algebra) and discuss segments, semispaces, hemispaces and hyperplanes. For the rest of the course we will read through the book ”Introduction to Geometric Proba- bility”, by Klain and Rota and try to find an analog of Euler formula in higher dimensions.
On Tilings with L-shaped Trominoes and Tetrominoes
Published in Discrete Mathematics, 313 (2013) 611–621
Transitivity of Infinite-Dimensional Extensions of Anosov Diffeomorphisms
Area Minimization in Normed Space
Discrepancy Theory and Connections to Convex Approximation
Martin S. Copenhavr
Some Positive Livsic-Like Results
Behavior of Transient, Exhaustive Polling Systems with N Nodes