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19962022
most citedOn a conjecture of Jacquet

25 citations · 115 across the 21 of their papers we have counts for

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22 papers · 1 filter

math.NT2022

The derived Hecke algebra for dihedral weight one forms

Henri Darmon, Michael Harris, Victor Rotger +1

We study the action of the derived Hecke algebra in the setting of dihedral weight one forms, and prove a conjecture of the second- and fourth- named authors relating this action t…

math.NT2022

On the generalized Ramanujan conjecture over function fields

Dan Ciubotaru, Michael Harris

Let be a simple group over a global function field , and let be a cuspidal automorphic representation of . Suppose has two places and (satisfying a mild r…

math.NT2022

Cyclic base change of cuspidal automorphic representations over function fields

Gebhard Böckle, Tony Feng, Michael Harris +2

Let be a split semi-simple group over a global function field . Given a cuspidal automorphic representation of satisfying a technical hypothesis, we prove that for a…

math.NT2021

The Taylor-Wiles method for coherent cohomology, II

Stanislav Atanasov, Michael Harris

We show that the Taylor-Wiles method can be applied to the cohomology of a Shimura variety of PEL type attached to a unitary similitude group , with coefficients in the cohe…

math.NT2019

Square root -adic -functions, I: Construction of a one-variable measure

Michael Harris

The Ichino-Ikeda conjecture, and its generalization to unitary groups by N. Harris, has given explicit formulas for central critical values of a large class of Rankin-Selberg tenso…

math.NT2019

A local Langlands parameterization for generic supercuspidal representations of -adic

Michael Harris, Chandrashekhar B. Khare, Jack A. Thorne

We construct a Langlands parameterization of supercuspidal representations of over a -adic field. More precisely, for any finite extension $K / \QQ_p$ we will construct a…