6 citations · 6 across the 3 of their papers we have counts for
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Maximal green sequences for string algebras
Alexander Garver, Khrystyna Serhiyenko
Maximal green sequences are important objects in representation theory, cluster algebras, and string theory. The two fundamental questions about maximal green sequences are whether…
Combinatorics of Type D Exceptional Sequences
Emily Carrick, Alexander Garver
Exceptional sequences are important sequences of quiver representations in the study of representation theory of algebras. They are also closely related to the theory of cluster al…
A categorification of biclosed sets of strings
Alexander Garver, Thomas McConville, Kaveh Mousavand
We consider the closure space on the set of strings of a gentle algebra of finite representation type. Palu, Pilaud, and Plamondon proved that the collection of all biclosed sets o…
Semistable subcategories for tiling algebras
Monica Garcia, Alexander Garver
Semistable subcategories were introduced in the context of Mumford's GIT and interpreted by King in terms of representation theory of finite dimensional algebras. Ingalls and Thoma…