19 citations · 88 across the 14 of their papers we have counts for
8 papers · 1 filter
On rank filtrations of algebraic K-theory and Steinberg modules
Jeremy Miller, Peter Patzt, Jennifer C. H. Wilson
Motivated by his work on the stable rank filtration of algebraic K-theory spectra, Rognes defined a simplicial complex called the common basis complex and conjectured that this com…
On the codimension-two cohomology of
Benjamin Brück, Jeremy Miller, Peter Patzt +2
Borel-Serre proved that is a virtual duality group of dimension and the Steinberg module is its dualizing modu…
Stability properties of moduli spaces
Rita Jimenez Rolland, Jennifer C. H. Wilson
We survey stability properties of several families of moduli spaces, with a focus on braid groups and configuration spaces.
On the generalized Bykovskii presentation of Steinberg modules
Alexander Kupers, Jeremy Miller, Peter Patzt +1
We study presentations of the virtual dualizing modules of special linear groups of number rings, the Steinberg modules. Bykovskii gave a presentation for the Steinberg modules of…
FI-hyperhomology and ordered configuration spaces
Jeremy Miller, Jennifer C. H. Wilson
Using a result of Guès on FI-hyperhomology (a variant of a result of Gan-Li) and a semi-simplicial resolution of configuration spaces due to Kupers-Miller-Tran, we establish an exp…
Quantitative representation stability over linear groups
Jeremy Miller, Jennifer C. H. Wilson
We introduce a technique for proving quantitative representation stability theorems for sequences of representations of certain finite linear groups over a field of characteristic…
Central stability for the homology of congruence subgroups and the second homology of Torelli groups
Jeremy Miller, Peter Patzt, Jennifer C. H. Wilson
We prove a representation stability result for the second homology groups of Torelli subgroups of mapping class groups and automorphism groups of free groups. This strengthens the…
Higher order representation stability and ordered configuration spaces of manifolds
Jeremy Miller, Jennifer C. H. Wilson
Using the language of twisted skew-commutative algebras, we define \emph{secondary representation stability}, a stability pattern in the {\it unstable} homology of spaces that are…