American Mathematical Society, Mathematics Research Communities

3 827Program ID: MRC-METSPACE [#827]
Program Title: Analysis in Metric Spaces: June 7-13, 2020
Program Location: Rhode Island, United States [map]
Application Deadline: 2020/02/15 (posted 2019/08/01, listed until 2020/02/20)
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.

Those accepted into this program will receive a flat rate transportation allowance for the summer conference, and will be partially supported for their participation in the Joint Mathematics Meetings which follow in January 2021.

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.  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. 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 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 once previously been an MRC participant will be considered for admission, and their applications must include a rationale for repeating; applications from individuals who have twice been MRC participants will not be considered. 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

  • 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.

Applications will close at 11:59 p.m. Eastern Time on Saturday, February 15, 2020. Note that all applicants will be notified of their status by May 1, 2020.

Week 2a: June 7 – 13, 2020-- Analysis in Metric Spaces

Mario Bonk, University of California at Los Angeles
Luca Capogna, Worcester Polytechnic Institute
Piotr Hajlasz, University of Pittsburgh
Nageswari Shanmugalingam, University of Cincinnati
Jeremy Tyson, University of Illinois at Urbana-Champaign

The subject of analysis in metric measure spaces originated in the late 1990s and has developed over the past twenty years into an active and mature mathematical discipline that intersects a diverse range of other areas. The development of a first-order analytic and geometric toolkit in the setting of metric measure spaces has led to novel applications in sub-Riemannian geometry and analysis, Gromov hyperbolic geometry, potential theory and partial differential equations, metric geometry, and other fields. This MRC will provide a focused long-term agenda for junior researchers in the US working in these subjects. Specific topics to be emphasized during the conference include Sobolev spaces on metric spaces, quasiconformal mapping theory, nonlinear potential theory and the calculus of variations, geometric measure theory, and notions of curvature in non-smooth spaces. These subjects will be studied in a variety of non-smooth settings, including sub-Riemannian manifolds, fractals, and more general metric measure spaces. The topic of this MRC is also ideally poised for applications to Data Science. In fact, in recent years, ideas at the core of analysis in metric spaces have been used in the study of manifold learning and machine learning, small world networks, and the sparsest cut algorithm. The workshop will feature two senior European experts (Pekka Koskela, University of Jyvaskyla, Finland, and Nicola Gigli, SISSA, Italy) who will provide introductory lectures and will guide participants towards open problems and collaborative research in the field.

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:
800-321-4267 x 4096
Electronic submission of reference letters is requested.
If this is not possible, contact

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