2 citations · 2 across the 8 of their papers we have counts for
8 papers
An analogue of Rognes' connectivity conjecture for free groups
Benjamin Brück, Jeremy Miller, Kevin Ivan Piterman
We show that the common basis complex of a free group of rank has the homotopy type of a wedge of spheres of dimension . This establishes an -analogue…
Representation stability for ordered Hurwitz spaces
Zachary Himes, Jeremy Miller, Jennifer C. H. Wilson
In this paper, we study the topology of ordered Hurwitz space. These are moduli spaces of branched covers with a choice of ordering on the branched points. Answering a question of…
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…
On split Steinberg modules and Steinberg modules
Daniel Armeanu, Jeremy Miller
Answering a question of Randal-Williams, we show the natural maps from split Steinberg modules of a Dedekind domain to the associated Steinberg modules are surjective.
A criterion for slope 1 homological stability
Mikala Ørsnes Jansen, Jeremy Miller
We show that for nice enough -graded -algebras, a diagonal vanishing line in -homology of gives rise to slope homological stability. Thi…
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…