activity
20232026
most citedA study on Diophantine equations via cluster theory

3 citations · 3 across the 6 of their papers we have counts for

collaborators

7 papers

math.RT2026

Stability functions inducing stability data

Fang Li, Kangping Qu

In this paper, we study when a stability data on an abelian length category is induced by a stability function. We give an intrinsic characterization of such stability data. For at…

math.RT2026

Theory of Infinite Maximal Green Sequences: Finest Stability Data, CBHO Sequence and Cluster quiver pattern

Fang Li, Kangping Qu

In this paper, we introduce maximal green sequences of infinite length in abelian length categories and establish natural bijections among infinite maximal green sequences, finest…

math.RT2026

Stability of Type A Mirković-Vilonen Polytopes under Minkowski Sum via Weak Separation

Gleb A. Koshevoy, Fang Li, Lujun Zhang

Mirković--Vilonen (MV) polytopes play a key role in the representation theory of reductive algebraic groups, while the geometric behavior of prime MV polytopes under Minkowski addi…

math.NT2025

The approach of cluster symmetry to Diophantine equations

Leizhen Bao, Fang Li

This paper aims to employ a cluster-theoretic approach to provide a class of Diophantine equations whose solutions can be obtained by starting from initial solutions through mutati…

math.RT2025

Finest positroid subdivisions from maximal weakly separated collections

Gleb A. Koshevoy, Fang Li, Lujun Zhang

We adopt a formal and algebraic approach of Early \cite{E2} to study the positive tropical Grassmannian . Specifically, we deal with positroid subdi…

math.AT2024

Bistellar Cluster Algebras and Piecewise Linear Invariants

Alastair Darby, Fang Li, Zhi Lu

Inspired by the ideas and techniques used in the study of cluster algebras we construct a new class of algebras, called bistellar cluster algebras, from closed oriented triangulate…

math.NT2023★ 3 cited

A study on Diophantine equations via cluster theory

Leizhen Bao, Fang Li

In this paper, we mainly answer a Lampe's question\cite{lampe} about the solutions of a Diophantine equation, that is, we give a criterion to determine which solutions of the Dioph…