Zachary Greenberg

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20212026

most citedCluster Modular Groups of Affine and Doubly Extended Cluster Algebras

2 citations · 2 across the 8 of their papers we have counts for

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math.RT2026

Noncommutative Cluster Varieties and Moduli Spaces of Local Systems

Zachary Greenberg, Dani Kaufman, Merik Niemeyer +1

In this article, we construct noncommutative cluster varieties, $A_{R, S}$ , for each reduced root system $R$ and marked surface $S$ simultaneously generalizing the cluster…

math.RT2024

Noncommutative Polygonal Cluster Algebras

Zachary Greenberg, Dani Kaufman, Merik Niemeyer +1

We define a new family of noncommutative generalizations of cluster algebras called polygonal cluster algebras. These algebras generalize the noncommutative surfaces of Berenstein-…