American Mathematical Society, Mathematics Research Communities

3 826Program ID: MRC-COMPGEOM [#826]
Program Title: Combinatorial Applications of Computational Geometry and Algebraic Topology: May 31 - June 6, 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 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 once previously been an MRC participant will be considered for admission, and their applications must include a rationale for repeating. Please note that individuals cannot participate in the MRC program more than twice. 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 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.

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 1b: May 31 – June 6, 2020-- Combinatorial Applications of Computational Geometry and Algebraic Topology

Organizers:
Stephen Melczer, University of Pennsylvania
Marni Mishna, Simon Fraser University
Robin Pemantle, University of Pennsylvania

The new and rapidly expanding area of Analytic Combinatorics in Several Variables (ACSV) concerns enumeration problems in such areas as lattice walks, statistical mechanical models, quantum walks and other exactly solvable models where asymptotic estimation of coefficients of a bivariate or multivariate generating function is required. The multivariate setting incorporates a wider swath of mathematics. including singularity theory, algebraic topology, and computational algebra. Participants in this MRC will be introduced to problems from these areas of mathematics whose solutions have direct applications to ACSV. These problems are not hard to state in the language of disciplines such as Morse theory, harmonic analysis, or commutative algebra, but they ask questions not typical in those fields. A long-term goal is to advance and automate this work, so that its benefits can be used by other researchers in mathematics and the natural sciences through implementations in computer algebra packages. Problems for this MRC will be arranged around five central topics: effective computer algebra methods, algorithms using computational topology, multivariate asymptotic phase transitions, singular transforms for degenerate saddle-point integrals, and applications of harmonic analysis and singularity theory. Researchers will knowledge in any one of these areas are encouraged to apply to this MRC. 


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-20
800-321-4267 x 4096
 
Electronic submission of reference letters is requested.
If this is not possible, contact ams-mrc@ams.org.

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