Combinatorics and Geometry of Moduli Spaces of Curves (24w5200)


Jake Levinson (Université de Montréal)

(Northeastern University)

(University of California at Davis)

Diane Maclagan (University of Warwick)

Maria Monks Gillespie (Colorado State University)


The Banff International Research Station will host the “Combinatorics and Geometry of Moduli Spaces of Curves” workshop in Banff from July 28 - August 2, 2024.

Curves are among the most ubiquitous mathematical objects; they have deep connections to algebra, geometry, topology, and mathematical physics. Moduli spaces of curves allow one to study curves in families, where each point of the moduli space corresponds to a curve.

Recent years have seen rapid advances on geometric questions about moduli spaces of curves, many of which have introduced new and intriguing combinatorial objects of study. The purpose of this workshop is to work to answer such questions by bringing together experts in algebraic geometry and experts in modern combinatorics. Participants will be organized into working groups, each with a mix of mathematical specialty areas, led by researchers in geometry who will each propose an unresolved combinatorial problem stemming from their work.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta’s Advanced Education and Technology, and Mexico’s Consejo Nacional de Ciencia y Tecnología (CONACYT).