for this workshop

## Gems of combinatorics

at the

American Institute of Mathematics, San Jose, California

organized by

Juliette Bruce, Pamela E. Harris, Isabelle Shankar, Kris Shaw, and Mariel Supina

This workshop, sponsored by AIM and the NSF, will be devoted to building a diverse community of mathematicians in combinatorics to address gender equity in the mathematical community and foster new research collaborations. To achieve this, in addition to time working on open questions in combinatorics and building collaborations, the GEMS workshop will hold discussions about issues faced by gender minorities in mathematics. The scientific goal of GEMS is to highlight areas of recent interest in combinatorics, specifically those with connections to algebraic geometry and optimization.

The main topics for the workshop are:

- To broaden the standard notion of gender equity in mathematics, in order to include anyone who self-identifies as a gender minority, especially those who are excluded by the term “women in mathematics.” Specific topics may include supporting mathematicians of minority genders within academia, communicating with allies, gender equity and intersectionality, working with “women in math” organizations, and experiences of trans and non-binary mathematicians.
- To investigate problems in the intersection of algebraic combinatorics with algebraic geometry and commutative algebra. Possible topics include extending the relationship between matroid theory, tropical geometry, and algebraic geometry to the setting of Coxeter matroids, or connections between polyhedral geometry and toric geometry / multi graded commutative algebra.
- To investigate problems in the intersection of geometric combinatorics with optimization, machine learning, and data science. This could include problems such as understanding geometric objects in convex optimization from a combinatorial perspective, or applying discrete geometry techniques to data science.

This event will be run as an AIM-style workshop. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

Space and funding is available for a few more participants. If you would like to participate, please apply by filling out the on-line form no later than December 1, 2022. Applications are open to all, and we especially encourage women, underrepresented minorities, junior mathematicians, and researchers from primarily undergraduate institutions to apply.

Before submitting an application, please read the description of the AIM style of workshop.

For more information email *workshops@aimath.org*