Ray Maresca

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20222026

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4 papers · 1 filter

math.AG2022

A 4-fold categorical equivalence

Ray Maresca

In this note, we will illuminate some immediate consequences of work done by Reineke that may prove to be useful in the study of elliptic curves. In particular, we will construct a…

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…

math.RT2022

On Clusters and Exceptional Sets in Types $A$ and $A ~$

Kiyoshi Igusa, Ray Maresca

In this paper we first study clusters in type $A ~$ by collecting them into a finite number of infinite families given by Dehn twists of their corresponding triangul…

math.RT2022

Combinatorics of Exceptional Sequences of Type $A ~_{n}$

Ray Maresca

It is known that there are infinitely many exceptional sequences of quiver representations for Euclidean quivers. In this paper we study those of type $A ~_{n}$ and cl…

A 4-fold categorical equivalence

Five Lectures on Cluster Theory

On Clusters and Exceptional Sets in Types A and A~

Combinatorics of Exceptional Sequences of Type A~n​

On Clusters and Exceptional Sets in Types $A$ and $A ~$

Combinatorics of Exceptional Sequences of Type $A ~_{n}$