Amit Kuber

activity

20152026

collaborators

6 papers

math.RT2026

On Zeta functions and $μ$ -series of string algebras

Rohun Easwar, Amit Kuber, Mihir Mittal

Let $μ_{Λ} (t) := m \geq 1 \sum μ_{Λ} (m) t^{m}$ be the \emph{ $μ$ -series} of a finite-dimensional tame algebra $Λ$ over an algebraically closed field, where $μ_{Λ} (m)$ denotes th…

math.RT2025

Rooted tree modules

Suraj Mishra, Amit Kuber

A rooted tree module (RTM) $M := M (T, F)$ over a zero-relation algebra $Λ := K Q / ⟨ ρ ⟩$ over a field $K$ is given by the data of a quiver morphism $F : T \to Q$ …

math.RT2024

Automating the stable rank computation for special biserial algebras

Suyash Srivastava, Amit Kuber

Given a special biserial algebra $Λ$ over an algebraically closed field, let $rad_{Λ}$ denote the radical of its module category. The authors showed with Sinha that the stab…

math.RT2023

On the stable radical of the module category for special biserial algebras

Suyash Srivastava, Vinit Sinha, Amit Kuber

Suppose $Λ$ is a special biserial algebra over an algebraically closed field. Schröer showed that if $Λ$ is domestic then the radical of the category of finitely generated (left) $…

math.CO2022

Euclidean algorithm for a class of linear orders

Shashwat Agrawal, Amit Kuber, Esha Gupta

Borrowing inspiration from Marcone and Montálban's one-one correspondence between the class of signed trees and the equimorphism classes of indecomposable scattered linear orders,…

math.CT2015

Taxotopy Theory of Posets I: van Kampen Theorems

Amit Kuber, David Wilding

Given functors $F, G : C \to D$ between small categories, when is it possible to say that $F$ can be "continuously deformed" into $G$ in a manner that is not necessari…