Ray Maresca

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math.RT2026

Enumerating iterated tilted algebras in type $A$

Alexander E. Black, Jonathan E. Gordon, Ray Maresca

We show that isoclasses of iterated tilted algebras in type $A_{n}$ are in bijection with non-crossing spanning trees up to rotation on a convex n+1-gon. This is done by constructing…

math.RT2026

Pseudo-torsion classes

Kiyoshi Igusa, Ray Maresca

For a finite dimensional algebra $I^$ , we consider a torsion class $G$ in $m o d$ - $I^$ , which is not necessarily finitely generated. We construct a wall-and-chamber structure for $G$ …

math.RT2026

The Hom-Ext quiver and applications to exceptional collections

Kiyoshi Igusa, Ray Maresca

We study what we call the Hom-Ext quiver and characterize it as a type of `superquiver'. In type $A ~$ , the Hom-Ext quiver of an exceptional set is the tiling algebr…

Enumerating iterated tilted algebras in type A

Pseudo-torsion classes

The Hom-Ext quiver and applications to exceptional collections

Enumerating iterated tilted algebras in type $A$