Princeton University, Mathematics

Program ID: 87-PURTG2019 [#754]
Program Title: Princeton Summer School in Geometric Analysis
Program Type: Other
Program Location: Princeton, New Jersey 08544, United States [map]
Subject Area: Geometric Analysis
Application Deadline: 2019/02/15help popup** finished (2018/11/20, finished 2019/07/22, listed until 2019/03/01)
Program Description:    

*** this program has been closed, and no new applications will be accepted. ***

Princeton Summer School in Geometric Analysis
June 10–28, 2019

A three-week intensive program at Princeton University for 25 advanced undergraduates and first-year graduate students consisting of courses in geometric analysis. Geometric analysis is the branch of mathematics which uses methods in analysis and PDE to study problems in geometry. The goal of the program is to introduce some basic tools in analysis and explore their connections to geometric analysis. Topics will include surface theory, minimal and constant mean curvature surfaces, min-max methods, Allen-Cahn equations, zero sets of harmonic functions and eigenfunctions, Sobolev inequalities, problem of prescribing curvatures, holography in conformal geometry and surface theory in 3D Heisenberg.

On-campus accommodations and meal card provided for all approved participants from Sunday, June 9 (check-in) through Saturday, June 29 (check-out). Travel reimbursement of $500 will be available.

There will be eight courses, each with four lectures and TA review sessions. In addition, there will be a three-day mini-conference to cover recent research topics in geometric analysis as well as a special one-day conference Diversity in Geometry Festival associated with the program.

Week 1 (June 10-14, 2019)

Introduction to minimal and constant mean curvature surfaces in 3-manifolds (Ana Menezes)
Extremal metrics for some variational geometric quantities
(Rafael Montezuma)
Min-max theory for the area functional and applications (Fernando Marques)

Week 2 (June 17-21, 2019)

Geometric features of the Allen-Cahn equation (Otis Chodish)
Zeros of harmonic functions and Laplace eigenfunctions (Aleksandr Logunov)

Week 3 (June 24-28, 2019)

Sobolev inequalities and the problem of prescribing curvatures (Alice Chang)
Holography in conformal geometry (Stephen McKeown)
Geometry of surfaces in the 3-dimensional Heinsenberg (Paul Yang)

• Open to currently enrolled undergraduate juniors and seniors and first-year graduate students.
• Must be a U.S. citizen or permanent resident. In the past, we have had international students fund themselves, and we will again consider such applications, space permitting.
• Applicants will be considered without regard to race, color, religion, sex, sexual orientation, age, ethnicity, or disability.

Application Requirements:
Complete and submit the online application:
• Letter of recommendation from a faculty member well-acquainted with your academic work.
• Unofficial school transcript.
• Statement of interest in program. Please include (1) a description of your most meaningful mathematical experience, and (2) your background in analysis, differential equations, and geometry/topology.

Application Deadline: February 15, 2019

The program is sponsored by the National Science Foundation Research Training Grant in Geometry and Topology at Princeton.

For more information, please contact Jill LeClair, Program Coordinator, at

Application Materials Required:
Submit the following items online at this website to complete your application:
And anything else requested in the program description.

Further Info:
Department of Mathematics
312 Fine Hall, Washington Road
Princeton University
Princeton, NJ 085440-1000

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