Mathematics Research Communities, American Mathematical Society

3 570Program ID: MRC-HARMONIC [#570]
Program Title: Harmonic Analysis: New Developments on Oscillatory Integrals Week 1b, June 3-9, 2018
Program Location: Rhode Island, United States [map]
Application Deadline: 2018/02/15** (posted 2017/07/07, updated 2017/05/12, listed until 2018/10/31)
Program Description:    

About the Mathematics Research Communities:

Mathematics Research Communities (MRC), a program of the American Mathematical Society (AMS), nurtures early-career mathematicians--those who are close to finishing their doctorates or have recently finished--and provides them with opportunities to build social and collaborative networks through which they can inspire and sustain each other in their work.

The structured program is designed to engage and guide all participants as they start their careers. For each topic, the program includes a one-week summer conference, a Special Session at the next Joint Mathematics Meetings, and a longitudinal study of early career mathematicians.

The summer conferences of the MRC are held at the Whispering Pines Conference Center in West Greenwich, Rhode Island, where participants can enjoy the natural beauty and a collegial atmosphere. Those accepted into this program will receive support (full room and board at Whispering Pines Conference Center and airfare or partial airfare) for the summer conference, and will be partially supported for their participation in the Joint Mathematics Meetings which follow in January 2019.

ELIGIBILITY: Individuals within one to two years prior to the receipt of their PhDs, or up to five years after receipt of their PhDs, are welcome to apply.  Most of those supported by NSF funds to participate in the MRC program will be US-based, that is, employed by or a full-time student at a US institution at the time of the MRC summer conference. However, the terms of the grant allow for a limited number of individuals who are not US-based. A few international participants may be accepted. Women and underrepresented minorities are especially encouraged to apply.  All participants are expected to be active in the full MRC program.

For any program, fellowship, prize or award that has a maximum period of eligibility after receipt of the doctoral degree, the selection committee may use discretion in making exceptions to the limit on eligibility for candidates whose careers have been interrupted for reasons such as family or health. Therefore, an applicant who has had to slow down or temporarily stop his or her career for personal reasons may request to be considered for an extension in the amount of time after the PhD degree. Please send exception requests to ams-mrc@ams.org.



REQUIREMENTS:
  • Completed on-line application form
  • One (1) reference letter submitted by a professor or supervisor who knows the applicant and can address how the applicant will benefit from, and contribute to, the MRC program.

Note that all applicants will be notified of their status by May 1, 2018.

Week 1: June 3 – 9, 2018-- Harmonic Analysis: New Developments on Oscillatory Integrals

Organizers:
Philip T. Gressman, University of Pennsylvania
Larry Guth, Massachusetts Institute of Technology
Lillian B. Pierce, Duke University

This workshop will focus on two closely related topics within harmonic analysis that have undergone important new developments. First, we will study the solution of the $l^2$-decoupling conjecture by Bourgain and Demeter, and further work with Guth, which resolved a seventy-year-old problem in analytic number theory, the Main Conjecture in the Vinogradov Mean Value Method. This has close ties both to the Hardy-Littlewood circle method and to aspects of the Riemann zeta function. Second, we will explore ideas from a broad program in multilinear oscillatory and singular integrals that has been initiated by Christ, Li, Tao, and Thiele.

These two areas have the potential for close interactions, due to the critical role that multilinear perspectives play in the work on decoupling. The substantial recent developments within both areas have involved the development of new tools which may apply to a range of other arithmetic and analytic problems, and these areas hold many opportunities for valuable contributions by early-career mathematicians.


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

Further Info:
http://www.ams.org/programs/research-communities/mrc-18
800-321-4267 x 4113
 
Electronic submission of reference letters is requested.
If this is not possible, contact ams-mrc@ams.org.

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