Clifton Cunningham

activity

20032022

most citedOn the computability of some positive-depth supercuspidal characters near the identity

6 citations · 32 across the 17 of their papers we have counts for

collaborators

17 papers

math.RT2022

Proof of Vogan's conjecture on Arthur packets: irreducible parameters of p-adic general linear groups

Clifton Cunningham, Mishty Ray

In this paper we prove Vogan's conjecture on local Arthur packets, for Arthur parameters of $p$ -adic general linear groups that are irreducible as representations of $W_F \times SL…

math.RT2021★ 3 cited

Appearance of the Kashiwara-Saito singularity in the representation theory of $p$ -adic $G L_{16}$

Clifton Cunningham, Andrew Fiori, Nicole Kitt

In 1993 David Vogan proposed a basis for the vector space of stable distributions on $p$ -adic groups using the microlocal geometry of moduli spaces of Langlands parameters. In the…

math.RT2021

Toward the endoscopic classification of unipotent representations of $p$ -adic $G_{2}$

Clifton Cunningham, Andrew Fiori, Qing Zhang

We begin this paper by reviewing the Langlands correspondence for unipotent representations of the exceptional group of type $G_{2}$ over a $p$ -adic field $F$ and present it in an ex…

math.RT2020★ 6 cited

Arthur packets for $G_{2}$ and perverse sheaves on cubics

Clifton Cunningham, Andrew Fiori, Qing Zhang

This paper begins the project of defining Arthur packets of all unipotent representations for the $p$ -adic exceptional group $G_{2}$ . Here we treat the most interesting case by defin…

math.NT2017★ 4 cited

Lifts of Hilbert modular forms and application to modularity of abelian varieties

Clifton Cunningham, Lassina Dembélé

In this paper, we prove the existence of certain lifts of Hilbert cusp forms to general odd spin groups. We then use those lifts to provide evidence for a conjecture of Gross on th…

math.RT2017★ 2 cited

Arthur packets for $p$ -adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples

Clifton Cunningham, Andrew Fiori, Ahmed Moussaoui +2

In this article we propose a geometric description of Arthur packets for $p$ -adic groups using vanishing cycles of perverse sheaves. Our approach is inspired by the 1992 book by Ad…

Proof of Vogan's conjecture on Arthur packets: irreducible parameters of p-adic general linear groups

Appearance of the Kashiwara-Saito singularity in the representation theory of p-adic GL16​

Toward the endoscopic classification of unipotent representations of p-adic G2​

Arthur packets for G2​ and perverse sheaves on cubics

Lifts of Hilbert modular forms and application to modularity of abelian varieties

Arthur packets for p-adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples

Appearance of the Kashiwara-Saito singularity in the representation theory of $p$ -adic $G L_{16}$

Toward the endoscopic classification of unipotent representations of $p$ -adic $G_{2}$

Arthur packets for $G_{2}$ and perverse sheaves on cubics

Arthur packets for $p$ -adic groups by way of microlocal vanishing cycles of perverse sheaves, with examples