Mathematics Research Communities, American Mathematical Society

3 455Program ID: MRC-PLANARITY [#455]
Program Title: Beyond Planarity: Crossing Numbers of Graphs June 11-18, 2017
Program Type: Graduate or early career program
Program Location: Snowbird Resort, Utah, United States [map]
Application Deadline: 2017/03/01** finished (2016/08/23, finished 2017/05/12, listed until 2017/05/31)
Program Description:    

*** this program has been closed, and no new applications will be accepted. ***

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 in the scenic mountain setting of the Snowbird Resort, Utah, where participants can enjoy the natural beauty and a collegial atmosphere. Those accepted into this program will receive support (full room and board at the Snowbird Resort and up to $650 in airfare) for the summer conference, and will be partially supported for their participation in the Joint Mathematics Meetings which follow in January 2018.

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. The MRC program is open to individuals who are U.S. citizens as well as to those who are affiliated with U.S. institutions. 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

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.

Individuals who can cover their MRC participation costs from other sources of funding should contact AMS Senior Program Coordinator Steven Ferrucci at for instructions on how to apply.

Note that all applicants will be notified of their status by May 1, 2017.

Week 2: June 11 – 18, 2017-- Beyond Planarity: Crossing Numbers of Graphs

Éva Czabarka , University of South Carolina
Silvia Fernández-Merchant , California State University, Northridge
Gelasio Salazar, Universidad Autónoma de San Luis Potosí, Mexico
Marcus Schaefer, DePaul University
László A. Székely , University of South Carolina

When a non-planar graph is drawn in the plane, some edge crossings result. One may want to minimize the number of crossings under different definitions of drawing and different methods of counting them. Crossing numbers of graphs play an important role in areas ranging from the applied—such as VLSI design, graph visualization, coevolution—to the theoretical—such as incidence problems for points and curves, and other problems of discrete geometry. Tantalizing open problems abound, including the determination of the crossing number for large complete graphs. Crossing numbers are vigorously investigated by computer science and mathematics communities.

The target audience of this workshop is graduate students and early-career mathematicians/computer scientists who have an interest in graph theory, discrete geometry, algorithms, or complexity theory. Only familiarity with basic graph theory is expected. At the workshop, collaborative research in groups will commence on a variety of promising crossing number problems under the guidance of experts in the area.

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 4113
Electronic submission of reference letters is requested.
If this is not possible, contact

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