Amanda Burcroff
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Amanda Burcroff has a total of 4 co-authors. Here are the top co-authors by number of shared publications:
- Kyungyong Lee
Department of Mathematics, University of Alabama, Tuscaloosa, USA
2 shared publications - Gregg Musiker
University of Minnesota
1 shared publication - Lang Mou
Department of Mathematics, University of California Davis, Davis, USA
1 shared publication - Markus Reineke
Ruhr University Bochum
1 shared publication
Latest Publications
- 5 August 2026
- Published by Springer Nature in Selecta Mathematica
- Vol. 32 (4) , 81
Broken lines and compatible pairs for rank 2 quantum cluster algebras
- 5 August 2026
- Published by Springer Nature in Selecta Mathematica
- Vol. 32 (4) , 81
Broken lines and compatible pairs for rank 2 quantum cluster algebras
- Open Access
Cluster scattering diagrams via quiver moduli and tight gradings
We study rank-2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver-theoretic and combinatorial methods, we prove and extend a collection of conjectures posed by Elgin--Reading--Stella concerning the structural and enumerative properties of the wall-function coefficients. The tight grading perspective also provides a new proof of the Weyl group symmetry of the scattering diagram.
Open AccessCluster scattering diagrams via quiver moduli and tight gradings
We study rank-2 cluster scattering diagrams through moduli spaces of quiver representations and a recently developed combinatorial framework of tight gradings. Combining quiver-theoretic and combinatorial methods, we prove and extend a collection of conjectures posed by Elgin--Reading--Stella concerning the structural and enumerative properties of the wall-function coefficients. The tight grading perspective also provides a new proof of the Weyl group symmetry of the scattering diagram.