Eric Larson

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20082025

most citedOn the classification of certain fusion categories

30 citations · 107 across the 20 of their papers we have counts for

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Showing 2011 · math.NTShow all

4 papers · 2 filters

math.NT2011

Determinants of Subquotients of Galois Representations Associated to Abelian Varieties

Eric Larson, Dmitry Vaintrob

Given an abelian variety $A$ of dimension $g$ over a number field $K$ , and a prime $ℓ$ , the $ℓ^{n}$ -torsion points of $A$ give rise to a representation $ρ_{A, \ell^n} : \gal(\b…

math.NT2011★ 1 cited

Integrality Properties of the CM-values of Certain Weak Maass Forms

Eric Larson, Larry Rolen

In a recent paper, Bruinier and Ono prove that the coefficients of certain weight -1/2 harmonic Maass forms are traces of singular moduli for weak Maass forms. In particular, for t…

math.NT2011

Upper Bounds for the Number of Number Fields with Alternating Galois Group

Eric Larson, Larry Rolen

We study the number $N (n, A_{n}, X)$ of number fields of degree $n$ whose Galois closure has Galois group $A_{n}$ and whose discriminant is bounded by $X$ . By a conjecture of Malle, we…

math.NT2011

Progress Towards Counting D_5 Quintic Fields

Eric Larson, Larry Rolen

Let $N (5, D_{5}, X)$ be the number of quintic number fields whose Galois closure has Galois group $D_{5}$ and whose discriminant is bounded by $X$ . By a conjecture of Malle, we expect th…