U. Pal

collaborators

3 papers

math.AT2026

A projective resolution of the symplectic Steinberg module

Urshita Pal

Borel--Serre proved that for a number ring $R$ with fraction field $K$ , the symplectic group $Sp_{2 n} (R)$ is a virtual duality group of degree quadratic in $n$ , and that the…

math.NT2026

The top cohomology of principal congruence subgroups of special linear groups over Euclidean number rings

Urshita Pal

For $R$ a Euclidean number ring, and let $Γ_{n} (p)$ be the level- $p$ principal congruence subgroup of $SL_{n} (R)$ . Borel--Serre showed that the cohomology of $Γ_{n} (p)$ vanishes a…

math.AT2024

Representation stability in the (co)homology of vertical configuration spaces

David Baron, Urshita Pal, Chenglu Wang +2

In this paper, we study sequences of topological spaces called "vertical configuration spaces" of points in Euclidean space. We apply the theory of FI $_{G}$ -modules, and results of B…