U. Pal

collaborators

4 papers

math.AT2026

The Quillen and sharbly Hopf algebra structures on Steinberg homology coincide

Urshita Pal, Sam Payne

Two recent constructions independently give bigraded commutative Hopf algebra structures on the homology of $GL (Z)$ with rational Steinberg coefficients. One, by…

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…