346 citations · 1.2k across the 23 of their papers we have counts for
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math.RT2012★ 181 cited
FI-modules over Noetherian rings
Thomas Church, Jordan S. Ellenberg, Benson Farb +1
FI-modules were introduced by the first three authors in [CEF] to encode sequences of representations of symmetric groups. Over a field of characteristic 0, finite generation of an…
math.GT2012★ 14 cited
A stability conjecture for the unstable cohomology of SL_n Z, mapping class groups, and Aut(F_n)
Thomas Church, Benson Farb, Andrew Putman
In this paper we conjecture the stability and vanishing of a large piece of the unstable rational cohomology of SL_n Z, of mapping class groups, and of Aut(F_n).
math.RT2012★ 346 cited
FI-modules and stability for representations of symmetric groups
Thomas Church, Jordan S. Ellenberg, Benson Farb
In this paper we introduce and develop the theory of FI-modules. We apply this theory to obtain new theorems about: - the cohomology of the configuration space of n distinct ordere…