3 papers
math.AC2026
On Two Approaches to Cluster Structures on Partial Flag Varieties
Fayadh Kadhem
Continuing our previous work, this paper closely studies the relationship between the cluster algebra structures on the coordinate ring of Schubert cells and those on the coordinat…
cs.AI2025
Can the current trends of AI handle a full course of mathematics?
Mariam Alsayyad, Fayadh Kadhem
This paper addresses the question of how able the current trends of Artificial Intelligence (AI) are in managing to take the responsibility of a full course of mathematics at a col…
math.CO2025
Matroids arisen from seeds
Fayadh Kadhem
This study aims to shed light on new (sub)classes of matroids originating from cluster algebras and investigate their properties. We focus on what we call cluster matroids and buil…