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 completing 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; opportunities for support for collaborative travel; and guidance in career building. The program provides for 40 funded participants.

The 2024 summer conferences will be held at Beaver Hollow Conference Center, Java Center, NY, where participants can enjoy a private, distraction free environment conducive to research. Beaver Hollow is located in Western New York, 45 minutes from the Buffalo Niagara International Airport, one hour from Rochester or Niagara Falls.

Those accepted into this program will receive travel support for a summer conference, and will be partially supported for their participation in the Joint Mathematics Meetings which follow in January 2025 in Seattle, WA. All participants are expected to be active in the full MRC program. 

ELIGIBILITY: Individuals within one to two years prior to the receipt of their PhDs, and up to five years after receipt of their PhDs, are welcome to apply. Generally, applicants should apply to one of the programs that best matches their research interest. Applications to two MRCs are allowed, but an individual will not be selected to participate in more than one MRC. Individuals applying to three or more MRCs may be disqualified. 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 to be supported. Depending on space and other factors, a small number of participant slots may be available for self-funders. Applicants wishing to be considered as possible self-funded participants should email ams-mrc@ams.org at the time they apply and state that intention. Self-funders must satisfy the same criteria for admission as those who receive grant support. Individuals who have previously participated in an MRC will not be considered for admission without a clear rational articulated in the application for repeating, and in any event, no one may be an MRC participant more than twice.

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, applicants who have had to slow down or temporarily stop their 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. Please note this reference letter cannot be from one of the MRC organizer.

Applications will close at 11:59 p.m. Eastern Time on Thursday, February 15, 2024.

Note that all applicants will be notified of their status by May 1, 2024.

MRC 2024 Week 3a: June 30 – July 6, 2024 -- Climate Science at the Interface Between Topological Data Analysis and Dynamical Systems Theory

Organizers:

Davide Faranda, Laboratoire des Sciences du Climat et de l’Environnement; London Mathematical Laboratory
Théo Lacombe, Université Gustave Eiffel
Nina Otter, Queen Mary University of London
Kristian Strommen, Department of Physics, University of Oxford

Understanding how midlatitude weather may change due to global warming is one of the central challenges in climate science. This MRC will explore the use of topological data analysis (TDA) as a novel tool for addressing this question, with a broader goal of fostering new collaborations between TDA, climate science and dynamical systems theory.

From a dynamical systems perspective, predicting weather and climate amounts to determining future trajectories of the atmosphere on its attractor, with the main difficulties arising from the extremely high dimensionality of the climate system. Techniques from TDA, such as persistent homology, are particularly well suited to address this, as they allow one to study coarse invariants of the data that do not depend on embedding dimension or scale. Topological features of the attractor, such as loops and holes, place strong constraints on future trajectories that can then be studied and linked to important weather phenomena, such as the midlatitude jetstreams.

The MRC will consider practical questions, such as improving algorithms and software, and theoretical questions, such as analyzing dynamical properties of topological features. The use of TDA in climate and weather is in its infancy and there are many exciting potential avenues. We welcome applicants from academia or industry with a wide range of backgrounds, including TDA, climate science and dynamical systems. Tutorials on TDA, climate science, and dynamical systems will take place before the research week to cover the basic background.