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 2018 · math.NTShow all

3 papers · 2 filters

math.NT2018

Bounds for the number of cohomological automorphic representations of $G L_{3} / Q$ in the weight aspect

Simon Marshall

We prove a power saving over the trivial bound for the number of cohomological cuspidal automorphic representations of fixed level and growing weight on $G L_{3} / Q$ , by adapt…

math.NT2018

Asymptotic trace formula for the Hecke operators

Junehyuk Jung, Simon Marshall, Naser T. Sardari

Given integers $m$ , $n$ and $k$ , we give an explicit formula with an optimal error term (with square root cancelation) for the Petersson trace formula involving the $m$ -th and $n$ -…

math.NT2018

Endoscopy and cohomology of U(n,1)

Simon Marshall, Sug Woo Shin

By assuming the endoscopic classification of automorphic representations on inner forms of unitary groups, which is currently work in progress by Kaletha, Minguez, Shin, and White,…

Bounds for the number of cohomological automorphic representations of GL3​/Q in the weight aspect

Asymptotic trace formula for the Hecke operators

Endoscopy and cohomology of U(n,1)

Bounds for the number of cohomological automorphic representations of $G L_{3} / Q$ in the weight aspect