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math.NT2025
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…
math.NT2024
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…