19 citations · 106 across the 21 of their papers we have counts for
22 papers
The Morita classes are nonzero
Alexander Kupers, Jeremy Miller, Peter Patzt
We prove that all Morita classes are nonzero using a novel description of the Hopf algebra structure on Steinberg homology. We prove anal…
Homological vanishing for the Steinberg representation II: reductive groups and integral conjectures
Jeremy Miller, Peter Patzt, Andrew Putman
We prove that the homology groups of any connected reductive group over a field with coefficients in the Steinberg representation vanish in a range. The generalizes work of Ash-Put…
Corrigendum to "Stability in the high-dimensional cohomology of congruence subgroups" [Compos. Math. 156 (2020), no. 4, 822-861]
Jeremy Miller, Rohit Nagpal, Peter Patzt
After the publication of [Compos. Math. 156 (2020), no. 4, 822-861], Andrew Putman pointed out a mistake in our paper and helped us fix it. In this note, we will explain what this…
Corrigendum to "Representation stability for diagram algebras" [J. Algebra 638 (2024) 625-669]
Peter Patzt
After the publication of [J. Algebra 638 (2024) 625-669], we noticed a serious mistake in the treatment of the partition algebra. In particular, we assumed in the proof of Lemma 4.…
Hopf algebras, Steinberg modules, and the unstable cohomology of and
Avner Ash, Jeremy Miller, Peter Patzt
We prove that the direct sum of all homology groups of the integral general linear groups with Steinberg module coefficients form a commutative Hopf algebra, in particular a free g…
Uniform twisted homological stability
Jeremy Miller, Peter Patzt, Dan Petersen +1
We prove a homological stability theorem for families of discrete groups (e.g. mapping class groups, automorphism groups of free groups, braid groups) with coefficients in a sequen…