Dylan Rupel

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20112018

most citedPositivity in Quantum Cluster Algebras and Flags of Valued Quiver Representations

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math.CO2018

Introduction to Cluster Algebras

Max Glick, Dylan Rupel

These are notes for a series of lectures presented at the ASIDE conference 2016. The definition of a cluster algebra is motivated through several examples, namely Markov triples, t…

math.CO2016

SL_2-Tilings Do Not Exist in Higher Dimensions (mostly)

Laurent Demonet, Pierre-Guy Plamondon, Dylan Rupel +2

We define a family of generalizations of $SL_{2}$ -tilings to higher dimensions called $ε$ - $SL_{2}$ -tilings. We show that, in each dimension 3 o…