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20012023
most citedCyclotomic integers, fusion categories, and subfactors

53 citations · 225 across the 38 of their papers we have counts for

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3 papers · 1 filter

math.NT2007

Nearly Ordinary Galois Deformations over Arbitrary Number Fields

Frank Calegari, Barry Mazur

Let K be an arbitrary number field, and let rho: Gal(Kbar/K) -> GL_2(E) be a nearly ordinary irreducible geometric Galois representation. In this paper, we study the nearly ordinar…

math.NT2007★ 3 cited

Bounds for Multiplicities of Unitary Representations of Cohomological Type in Spaces of Cusp Forms

Frank Calegari, Matthew Emerton

Let $\Goo$ be a semisimple real Lie group with unitary dual $\Ghat$. The goal of this note is to produce new upper bounds for the multiplicities with which representations $π\in \G…

math.NT2007★ 1 cited

The eigencurve is proper at integral weights

Frank Calegari

We prove that the Coleman-Mazur eigencurve is proper (over weight space) at integral weights in the center of weight space.