Matthew Scalamandre

collaborators

3 papers

math.AT2026

Double Steinberg coinvariants for special linear groups

Tatiana Abdelnaim, David Chan, Alexander Kupers +2

For a field $F$ we study the coinvariants for the $S L_{n} (F)$ -action on the double Steinberg module $S t_{n} (F) \otimes S t_{n} (F)$ and show they have a rich algebraic structure: for $n =…

math.AT2026

High-degree cohomology of congruence subgroups of $SL_{n} (O)$ via cohomology of $S$ -arithmetic groups

Matthew Scalamandre

If $p$ is a prime ideal of a number ring $O$ , then the top-degree cohomology of the principal congruence subgroup of level $p$ is naturally a repres…

math.AT2023

A Solomon-Tits theorem for rings

Matthew Scalamandre

An analog of the Tits building is defined and studied for commutative rings. We prove a Solomon-Tits theorem when $R$ either satisfies a stable range condition, or is the ring of $…

Double Steinberg coinvariants for special linear groups

High-degree cohomology of congruence subgroups of SLn​(O) via cohomology of S-arithmetic groups

A Solomon-Tits theorem for rings

High-degree cohomology of congruence subgroups of $SL_{n} (O)$ via cohomology of $S$ -arithmetic groups