5 papers · 1 filter
From Black Box to Bijection: Interpreting Machine Learning to Build a Zeta Map Algorithm
Xiaoyu Huang, Blake Jackson, Kyu-Hwan Lee
There is a large class of problems in algebraic combinatorics which can be distilled into the same challenge: construct an explicit combinatorial bijection. Traditionally, research…
Machine Learning Mutation-Acyclicity of Quivers
Kymani T. K. Armstrong-Williams, Edward Hirst, Blake Jackson +1
Machine learning (ML) has emerged as a powerful tool in mathematical research in recent years. This paper applies ML techniques to the study of quivers -- a type of directed multig…
Geometry of -vectors and -Matrices for Mutation-Infinite Quivers
Tucker J. Ervin, Blake Jackson, Kyungyong Lee +1
The set of forks is a class of quivers introduced by M. Warkentin, where every connected mutation-infinite quiver is mutation equivalent to infinitely many forks. Let be a fork…
A topology on the poset of quiver mutation classes
Tucker J. Ervin, Blake Jackson
To better understand mutation-invariant and hereditary properties of quivers (and more generally skew-symmetrizable matrices), we have constructed a topology on the set of all muta…
Permutations whose reverse shares the same recording tableau in the RSK correspondence
Tucker J. Ervin, Blake Jackson, Jay Lane +4
The RSK correspondence is a bijection between permutations and pairs of standard Young tableaux with identical shape, where the tableaux are commonly denoted (insertion) and $Q…