REU 2000

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:

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:
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



June 19 - June 30

TIME: MR 12:45 pm - 2:45 pm


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.


July 3 - July 14

TIME: MR 9:35 am - 11:35 am


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.