Summer Program in Princeton
Study Analysis and Geometry
Program Dates: Monday, July 28–Friday, August 15, 2008
Application Deadline: April 1, 2008
Description
A three-week intensive program for up to 25 mathematicians consisting of three related courses in analysis and geometry. Each course will be comprised of eight one-hour lectures. The main lectures will be complemented by two-hour problem sessions each afternoon conducted by graduate students within the department.
We will try to present the material so that no prerequisites beyond advanced calculus will be necessary.
Courses
Introduction to the Equations of Fluid Motion
(N. Pavlovic, University Texas at Austin)
This course will offer a brief introduction to Euler and Navier-Stokes equations. We will recall open questions concerning these equations and will survey various known results addressing existence, uniqueness, and regularity of the solutions to Euler and Navier-Stokes equations in 2D and 3D.
Introductory Topics in Differential Geometry
(A. Neves, Princeton University)
After a quick introduction to foundational concepts and classical results in differential geometry, I will introduce some modern techniques such as Ricci flow and minimal surfaces, and show how they can be used to solve old unanswered questions.
Problems in PDE
(S. Klainerman, Princeton University)
The goal of the course is to discuss some of the main problems in modern analysis. Rather than proceeding, in the traditional way, from foundations to the problems, which is necessarily long and laborious, I will revert the procedure and justify the foundations by starting from the top.
Eligibility
• Open to currently enrolled juniors and seniors and first-year graduate students, with priority given to undergraduates
• Must be a U.S. citizen or permanent resident*
• Applicants will be considered without regard to race, color, religion, sex, sexual orientation, age, ethnicity, or disability
* Consideration may be made for a limited number of international students. If accepted, the student must pay all of his or her own expenses.
Requirements
• Complete and submit online application
• Two letters of recommendation from faculty members or others well-acquainted with your academic work
• Official school transcript
• Personal statement of why you want to attend the program. Use separate sheet or include on online application.
Travel and Accommodations
On-campus accommodations and meal allowance provided from Sunday, July 27, through Saturday, August 16, 2008.
Travel assistance may be available to U.S. candidates by request and on a case-by-case need. (Only original receipts will be accepted for reimbursement purposes.)
Contact
All application materials (except for online application) should be sent to:
Jill K. LeClair
Graduate Administrator
Department of Mathematics
307 Fine Hall
Princeton University
Princeton, NJ 08544-1000
For more information, please contact Jill LeClair, program coordinator, at leclair@princeton.edu.