In Summer 2000 the Mathematics Department of Pennsylvania State University will host a Research Experiences for Undergraduates site. Support for the site is provided by the National Science Foundation VIGRE grant. 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.
The program will run for 7 weeks from June 19 to August 5, 2000. It will combine learning with research and include:
- Two two-week mini-courses
- Dynamical Systems and Applications
Instructor: Mark Levi, Professor of Mathematics - The Prime Numbers and Their Properties
Instructor: Robert Vaughan, Professor of Mathematics
- Dynamical Systems and Applications
- Weekly seminar run by the program coordinator Misha Guysinsky, Assistant Professor of Mathematics, Tufts University
- Research projects
Each REU 2000 participant will recieve a stipend of $2,100, reimbursement for room and board totalling $900, and travel reimbursement of as much as $500.
Academic Calendar
June 18, 2000
Welcome Pizza Party
Time: 5:30 p.m.
Location: 212 McAllister Building
June 19, 2000
Initial Meeting
Time: 10:00 a.m.
Location: 113 McAllister Building
June 19, 2000 - June 29, 2000 MINI COURSE I
Dynamical Systems and Applications
Instructor: Mark Levi
Time: M, Thur. 12:45p.m.-2:45p.m.
Location: 309 Willard Building
June 20, 2000 - August 1, 2000 SEMINAR SESSION
Instructor: Misha Guysinsky
Time: Tues. 09:35a.m.-11:35a.m.
Location: 216 Thomas Building
July 3, 2000 - July 13, 2000 MINI COURSE II
The Prime Numbers and Their Properties
Instructor: Robert Vaughan
Time: M, Thur. 09:35a.m.-11:35a.m.
Location: 216 Thomas Building
June 23, 2000 - August 4, 2000 PROBLEM SOLVING SESSION
Instructor: Misha Guysinsky
Time: Fri. 09:35a.m.-10:50a.m.
Location: 219 Thomas Building
July 17, 2000 - July 28, 2000
Completion of projects and preparation for conference presentations
July 29-31, 2000
MASS Fest Conference
Time: 10:00a.m.-12:00p.m., 2:00p.m.-6:00p.m.
Location: 105 Wartik Laboratory
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:
-
Phone: 814-865-8462
FAX: 814-865-3735
E-mail: reu@math.psu.edu
Courses
DYNAMICAL SYSTEMS AND APPLICATIONS
June 19 - June 30
TIME: MR 12:45 pm - 2:45 pm
INSTRUCTOR: MARK LEVI
The lectures will focus on selected research topics, providing the necessary theoretical background for research projects. We will touch on the following subjects: billiards; dynamics of rigid bodies and gyroscopes; resonances and their topology; circle mappings and applications to forced oscillators.
THE PRIME NUMBERS AND THEIR PROPERTIES
July 3 - July 14
TIME: MR 9:35 am - 11:35 am
INSTRUCTOR: ROBERT VAUGHAN
Many of the most important fundamental unsolved problems in mathematics today concern prime numbers. We will examine some of the properties of prime numbes and develop the basic underlying theories. Particular emphasis will be laid on distributional questions, and some of the topics to be included are Chebychev's inequalities and Merten's theory together with some of the relevant theory of arithemtical functions, and special cases of Dirichlet's theorem on primes in arightmetic progression. There will also be some discussion of connections with the theory of Dirichlet series, and the Riemann Hypothesis, probably the single most important unsolved problem in mathematics today.