Ray Maresca

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20222026

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math.RT2026

Pseudo-torsion classes

Kiyoshi Igusa, Ray Maresca

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

math.RT2025

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…

math.RT2022

Five Lectures on Cluster Theory

Ray Maresca

In this paper, we will present the author's interpretation and embellishment of five lectures on cluster theory given by Kiyoshi Igusa during the Spring semester of 2022 at Brandei…