activity
20092024
most citedThe existence of greedy bases in rank 2 quantum cluster algebras

7 citations · 25 across the 19 of their papers we have counts for

collaborators

22 papers

math.AG2024

On the two-dimensional Jacobian conjecture: Magnus' formula revisited, IV

Kyungyong Lee, Li Li

Let be a Jacobian pair with and for some direction . A generalized Magnus' formula approximates as $\sum_{γ\ge 0} c_γF^{\frac…

math.AC2023

Gröbner bases for bipartite determinantal ideals

Josua Illian, Li Li

Nakajima's graded quiver varieties naturally appear in the study of bases of cluster algebras. One particular family of these varieties, namely the bipartite determinantal varietie…

math.AG2022

Nakajima's quiver varieties and triangular bases of rank-2 cluster algebras

Li Li

Berenstein and Zelevinsky introduced quantum cluster algebras [Adv. Math, 2005] and the triangular bases [IMRN, 2014]. The support conjecture by Lee-Li-Rupel-Zelevinsky [PNAS, 2014…

math.AC2022

On the two-dimensional Jacobian conjecture: Magnus' formula revisited, II

Jacob Glidewell, William E. Hurst, Kyungyong Lee +1

This article is part of an ongoing investigation of the two-dimensional Jacobian conjecture. In the first paper of this series, we proved the generalized Magnus' formula. In this p…

math.AG2022

On the two-dimensional Jacobian conjecture: Magnus' formula revisited, I

William E. Hurst, Kyungyong Lee, Li Li +1

Let be an algebraically closed field of characteristic 0. When the Jacobian $({\partial f}/{\partial x})({\partial g}/{\partial y}) - ({\partial g}/{\partial x})({\partial f}/{…

math.CO2021

Chain decompositions of q,t-Catalan numbers: tail extensions and flagpole partitions

Seongjune Han, Kyungyong Lee, Li Li +1

This article is part of an ongoing investigation of the combinatorics of -Catalan numbers . We develop a structure theory for integer partitions based on…