Princeton University, Mathematics
Program ID:
Program Title:
Princeton Summer School in Geometry and Topology
Program Type:
Other
Program Location:
Princeton, New Jersey 08540, United States of America
Subject Area:
Geometry and Topology
Stipend:
N/A
Appl Deadline:
2023/03/01 11:59PM
* finished (2022/12/23, finished 2023/08/08, listed until 2023/03/01)
* finished (2022/12/23, finished 2023/08/08, listed until 2023/03/01)Program Description:
*** this program has been closed and new applications are no longer accepted. ***
program Description
A three-week intensive program at Princeton University for 25 advanced level undergraduates and first-year graduate students consisting of courses in geometry and topology. The program will focus on invariants related to 3- and 4-dimensional manifolds and to knots within them. These include Floer homological invariants, such as versions of Heegaard Floer homology for both knots and 3-manifolds. The program will also explore the structure of symplectic manifolds, which are crucial for understanding these Floer theoretic invariants. Other topics include surfaces in 4-dimensional manifolds, the hyperbolic geometry of 3-manifolds and knot complements, and other knot invariants such as the colored Jones polynomial. The goal of the program is to introduce these invariants and the basic tools needed to apply them to topological problems. On-campus housing and dining points will be provided for all eligible/admitted participants from Sunday, July 2 (check-in) through Saturday, July 22 (check-out). Travel reimbursement allowance will be available. There will be eight courses. Most courses will consist of five-six lectures and TA review sessions. In addition, Weeks 2 and 3 will each contain a three-day mini conference to cover recent research in areas related to the courses. It is expected that participants will attend for the entire length of the three-week program. Courses: Introduction to Knot Theory and Knot Homologies (Zoltan Szabó) Introduction to Heegaard Floer homology (Peter Ozsváth) Lattice Homology and Bordered Floer Homology (Ian Zemke) Immersed curves and invariants of knots and 3-manifolds (Jonathan Hanselman) Surfaces in 4-manifolds (David Gabai) An Introduction to the Volume Conjecture (Andrew Yarmola) Introduction to symplectic geometry (Shira Tanny) Moduli spaces of pseudo-holomorphic curves (John Pardon; to be confirmed) Eligibility: • Open to currently enrolled undergraduate juniors and seniors and first-year graduate students. • Must be 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, gender identity or expression, national origin, age, ethnicity, or disability status.Application Materials Required:
- Submit the following items online at this website to complete your application:
- Personal Statement - including a description of your most meaningful mathematical experience and your background in geometry and topology.
- Unofficial transcript
- Reference letter (to be submitted online by the reference writers on this site )
- And anything else requested in the program description.
Further Info:
609-258-4443
Department of Mathematics
Princeton University
312 Fine Hall
Washington Road
Princeton, NJ 08544-1000
Princeton University
312 Fine Hall
Washington Road
Princeton, NJ 08544-1000