activity
20232025
most citedPlane partitions and rowmotion on rectangular and trapezoidal posets

1 citations · 3 across the 6 of their papers we have counts for

collaborators

6 papers

math.HO2025

Modeling Social Systems: Transparency, Reproducibility, and Responsibility

Maximino Aldana, Roni Barak Ventura, Heather Z. Brooks +13

Mathematical models of complex social systems can enrich social scientific theory, inform interventions, and shape policy. From voting behavior to economic inequality and urban dev…

math.ST2025

Characteristic Imsets for Cyclic Linear Causal Models and the Chickering Ideal

Joseph Johnson, Pardis Semnani

Two directed graphs are called covariance equivalent if they induce the same set of covariance matrices, up to a Lebesgue measure zero set, on the random variables of their associa…

math.CO2024★ 1 cited

Hyperplane Representations of Interventional Characteristic Imset Polytopes

Benjamin Hollering, Joseph Johnson, Liam Solus

Characteristic imsets are 0/1-vectors representing directed acyclic graphs whose edges represent direct cause-effect relations between jointly distributed random variables. A chara…

math.ST2024★ 1 cited

New directions in algebraic statistics: Three challenges from 2023

Yulia Alexandr, Miles Bakenhus, Mark Curiel +11

In the last quarter of a century, algebraic statistics has established itself as an expanding field which uses multilinear algebra, commutative algebra, computational algebra, geom…

math.CO2023★ 1 cited

Plane partitions and rowmotion on rectangular and trapezoidal posets

Joseph Johnson, Ricky Ini Liu

We define a birational map between labelings of a rectangular poset and its associated trapezoidal poset. This map tropicalizes to a bijection between the plane partitions of these…

math.CO2023

The Codegree, Weak Maximum Likelihood Threshold, and the Gorenstein Property of Hierarchical Models

Joseph Johnson, Seth Sullivant

The codegree of a lattice polytope is the smallest integer dilate that contains a lattice point in the relative interior. The weak maximum likelihood threshold of a statistical mod…