3 papers
math.CO2026
Noncrossing Partitions From Hull Configurations
Michael Dougherty, Gina Root
Each finite configuration of points in the plane determines a corresponding lattice of noncrossing partitions. When these points form the vertex set of a convex polygon, the associ…
math.CO2026
The Geometry of Rectangular Multisets
Michael Dougherty, Jon McCammond
This article describes a natural piecewise Euclidean bi-simplicial cell structure for the space of -element multisets in a fixed Euclidean rectangle. In particular, we highlight…
math.GR2025
Continuous Noncrossing Partitions and Weighted Circular Factorizations
Michael Dougherty, Jon McCammond
This article examines noncrossing partitions of the unit circle in the complex plane; we call these continuous noncrossing partitions. More precisely, we focus on the degree- co…