Gems of combinatorics
March 27 to March 31, 2023
at the
American Institute of Mathematics,
San Jose, California
organized by
Juliette Bruce,
Pamela E. Harris,
Isabelle Shankar,
Kris Shaw,
and Mariel Supina
Original Announcement
This workshop 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.
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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.
Material from the workshop
A list of participants.
The workshop schedule.
A list of open problems.
Papers arising from the workshop:
Polyhedral geometry of refined $q,t$-Catalan numbers
by Matthias Beck, Mitsuki Hanada, Max Hlavacek, John Lentfer, Andrés R. Vindas-Meléndez, Katie Waddle
On the Lucky and Displacement Statistics of Stirling Permutations
by Laura Colmenarejo, Aleyah Dawkins, Jennifer Elder, Pamela E. Harris, Kimberly J. Harry, Selvi Kara, Dorian Smith, Bridget Eileen Tenner
