Surojit Ghosh

activity

20242026

collaborators

8 papers

math.AT2026

Purity of quaternionic conjugation spaces

Surojit Ghosh, Ankit Kumar, Lakshit Pande

Conjugation spaces relate the cohomology of a space and its fixed points via a degree-halving isomorphism and admit a characterization in terms of homological purity. We extend thi…

math.CO2026

Minimal generating sets of transfer systems for more non-Abelian Groups

Bheemarasetty Chakravarthy, Surojit Ghosh

For a finite group $G$ , $N_{\infty}$ operads encode collections of norm maps, and by work of Blumberg--Hill and Rubin their homotopy category is equivalent to the poset of $G$ --trans…

math.AT2026

$R O (C_{p} \times C_{p})$ -graded cohomology of universal spaces and the coefficient ring

Surojit Ghosh, Ankit Kumar

We compute the $R O (C_{p} \times C_{p})$ -graded Bredon cohomology of equivariant universal and classifying spaces associated to families of subgroups, with coefficients in the constant…

math.AT2026

Bredon cohomology methods in mass partition problems on spheres

Surojit Ghosh

We apply $RO (G)$ -graded Bredon cohomology to mass assignment problems, extending classical mass partition methods. Within this framework, we reprove a recent result of Les…

math.AT2025

Revisiting the Nandakumar-Ramana Rao Conjecture

Surojit Ghosh, Ankit Kumar

We reprove the generalized Nandakumar-Ramana Rao conjecture for the prime case using representation ring-graded Bredon cohomology. Our approach relies solely on the $R O (C_{p})$ -grade…

math.CO2024

Some monochromatic patterns in natural numbers

Arpita Ghosh, Surojit Ghosh

The set of sums of two squares plays a significant role in elementary number theory. In this article, we establish the existence of several rich monochromatic configurations in the…

math.AT2024

Good objects in the equivariant world

Surojit Ghosh, Bikramjit Kundu

This article explores equivariant localization in the category of $G$ -spaces, where $G$ is a compact Lie group. We establish a commutation rule for the localization functor and the…

math.AT2024

Homotopy types of diagrams of chain complexes

David Blanc, Surojit Ghosh, Aziz Kharoof

We study the homotopy theory of diagrams of chain complexes over a field indexed by a finite poset, and show that it can be completely described in terms of appropriate diagrams of…

Purity of quaternionic conjugation spaces

Minimal generating sets of transfer systems for more non-Abelian Groups

RO(Cp​×Cp​)-graded cohomology of universal spaces and the coefficient ring

Bredon cohomology methods in mass partition problems on spheres

Revisiting the Nandakumar-Ramana Rao Conjecture

Some monochromatic patterns in natural numbers

Good objects in the equivariant world

Homotopy types of diagrams of chain complexes

$R O (C_{p} \times C_{p})$ -graded cohomology of universal spaces and the coefficient ring