19 citations · 88 across the 14 of their papers we have counts for
16 papers
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.
Mapping class group actions on configuration spaces and the Johnson filtration
Andrea Bianchi, Jeremy Miller, Jennifer C. H. Wilson
Let denote the configuration space of ordered points on the surface and let denote the mapping class group of . We prove that the ac…
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…
Stability for hyperplane complements of type B/C and statistics on squarefree polynomials over finite fields
Rita Jimenez Rolland, Jennifer C. H. Wilson
In this paper we explore a relationship between the topology of the complex hyperplane complements in type B/C and the combinatorics of certain sp…
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…
Generating functions and statistics on spaces of maximal tori in classical Lie groups
Jason Fulman, Rita Jimenez Rolland, Jennifer C. H. Wilson
In this paper we use generating function methods to obtain new asymptotic results about spaces of -stable maximal tori in , , and…
Convergence criteria for FI-algebras and polynomial statistics on maximal tori in type B/C
Rita Jimenez Rolland, Jennifer C. H. Wilson
A result of Lehrer describes a beautiful relationship between topological and combinatorial data on certain families of varieties with actions of finite reflection groups. His form…
FI_W-modules and constraints on classical Weyl group characters
Jennifer C. H. Wilson
In this paper we study the characters of sequences of representations of any of the three families of classical Weyl groups W_n: the symmetric groups, the signed permutation groups…
FI_W-modules and stability criteria for representations of the classical Weyl groups
Jennifer C. H. Wilson
In this paper we develop machinery for studying sequences of representations of any of the three families of classical Weyl groups, extending work of Church, Ellenberg, Farb, and N…
Representation stability for the cohomology of the pure string motion groups
Jennifer C. H. Wilson
The cohomology of the pure string motion group PSigma_n admits a natural action by the hyperoctahedral group W_n. Church and Farb conjectured that for each k > 0, the sequence of d…
The Non-Commutative Cycle Lemma
Craig Armstrong, James A. Mingo, Roland Speicher +1
We present a non-commutative version of the cycle lemma of Dvoretsky and Motzkin that applies to free groups and use this result to solve a number of problems involving cyclic redu…