Sourayan Banerjee

collaborators

3 papers

math.AG2026

Toolkit for the algebraic geometer

Sourayan Banerjee, Oliver Lorscheid, Alejandro MartÃnez MÃ©ndez +1

In this text, we outline a theory of schemes associated with a site, which generalizes a variety of geometries, such as manifolds, schemes, analytic spaces, simplicial complexes, a…

math.LO2025

Model-theoretic $K_{1}$ for modules over semisimple rings: (weak) Morita invariance

Sourayan Banerjee, Amit Kuber

This paper is a sequel to a paper by the same authors, where they defined $K$ -groups of model-theoretic structures, and computed $K_{1}$ of free modules over PIDs. In this paper, we…

math.KT2025

Homotopy Invariance of $K$ -groups using Grayson's Technique

Sourayan Banerjee

Homotopy invariance of $K$ -theory has always been a point of interest. In this article, with the help of the generators of Nil $K$ -groups using Grayson's technique, it is shown that…

Toolkit for the algebraic geometer

Model-theoretic K1​ for modules over semisimple rings: (weak) Morita invariance

Homotopy Invariance of K-groups using Grayson's Technique

Model-theoretic $K_{1}$ for modules over semisimple rings: (weak) Morita invariance

Homotopy Invariance of $K$ -groups using Grayson's Technique