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Research Group

Cluster Algebras - Publications

Explore the scholarly works of the Cluster Algebras group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our latest research through preprints.


Preprint
2026 Repository Open Access
Angelo El Saliby

Highly regular vertex-transitive graphs are globally rigid

Preprint
2026 Repository Open Access
Dani Kaufman and Carmen Alves Sabin

Mutation of matrices over group rings

Preprint
2026 Repository Open Access
Zachary Greenberg, Dani Kaufman, Merik Niemeyer and Anna Wienhard

Noncommutative cluster varieties and moduli spaces of local systems

inJournal
2026 Journal Open Access
Carlos Améndola, Angelo El Saliby, Felix Lotter and Oriol Reig Fité

Computing path signature varieties in Macaulay2

In: Journal of software for algebra and geometry, 16 (2026) 1, pp. 45-57
inJournal
2026 Journal Open Access
Zachary Greenberg, Dani Kaufman, Merik Niemeyer and Anna Wienhard

Noncommutative polygonal cluster algebras

In: The journal of the London Mathematical Society, 113 (2026) 4, e70511
Preprint
2025 Repository Open Access
Yichen Qin, Christian Sevenheck and Peter Spacek

Irregular Hodge numbers of Frenkel-Gross connections

(Algebraic geometry)
inJournal
2025 Journal Open Access
Zachary Greenberg, Dani Kaufman and Anna Wienhard

\(\mathrm{SL}_2\)-like properties of matrices over noncommutative rings and generalizations of Markov numbers

In: Advances in mathematics, 482 (2025) A, p. 110556
inJournal
2025 Journal Open Access
Dani Kaufman and Zachary Greenberg

Cluster modular groups of affine and doubly extended cluster algebras

In: Mathematische Zeitschrift, 310 (2025) 2, p. 31