13 citations · 22 across the 17 of their papers we have counts for
17 papers
Cohomology with Sym^g coefficients for congruence subgroups of SL_4(Z) and Galois representations
Avner Ash, Paul E. Gunnells, Mark McConnell
We extend the computations in our prior work to find the cohomology in degree five of a congruence subgroup Gamma of SL_4(Z) with coefficients in Sym^g(K^4), twisted by a nebentype…
Explicit sharbly cycles at the virtual cohomological dimension for SL_n(Z)
Avner Ash, Paul E. Gunnells, Mark McConnell
Denote the virtual cohomological dimension of SL_n(Z) by t=n(n-1)/2. Let St denote the Steinberg module of SL_n(Q) tensored with Q. Let Sh_* denote the sharbly resolution of the St…
Cohomology at Infinity and the Well-Tempered Complex
Dylan Galt, Mark McConnell
We prove the existence of a sequence of commutative diagrams generalizing existing results on the cohomology of the Borel-Serre boundary and well-rounded retract to the context of…
Tempered Perfect Lattices in the Binary Case
Erik Bahnson, Mark McConnell, Kyrie McIntosh
A new algorithm for computing Hecke operators for SL(n,Z) was introduced by MacPherson, McConnell in 2020. The algorithm uses tempered perfect lattices, which are certain pairs of…
Computing Hecke operators for arithmetic subgroups of
Dylan Galt, Mark McConnell
We outline an algorithm for computing Hecke operators on equivariant cohomology for the symplectic group . To do…
Computing Hecke Operators for Arithmetic Subgroups of General Linear Groups
Mark McConnell, Robert MacPherson
We present an algorithm to compute the Hecke operators on the equivariant cohomology of an arithmetic subgroup of the general linear group . This includes $\math…