Simon Marshall

activity

20052023

most citedOn the torsion in the cohomology of arithmetic hyperbolic 3-manifolds

42 citations · 140 across the 19 of their papers we have counts for

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Showing 2014 · math.NTShow all

2 papers · 2 filters

math.NT2014

Endoscopy and cohomology of a quasi-split U(4)

Simon Marshall

We prove asymptotic upper bounds for the $L^{2}$ Betti numbers of the locally symmetric spaces associated to a quasi-split $U (4)$ . These manifolds are 8-dimensional, and we prove bou…

math.NT2014★ 3 cited

Upper bounds for Maass forms on semisimple groups

Simon Marshall

We prove a power saving over the local bound for the sup norm of Hecke-Maass forms on any quasi-split semisimple real group that is not isogenous to a product of odd special unitar…