30 citations · 107 across the 20 of their papers we have counts for
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On the Surjectivity of Galois Representations Associated to Elliptic Curves over Number Fields
Eric Larson, Dmitry Vaintrob
Given an elliptic curve over a number field , the -torsion points of define a Galois representation $\gal(\bar{K}/K) \to \gl_2(\ff_\ell)$. A famous theor…
Determinants of Subquotients of Galois Representations Associated to Abelian Varieties
Eric Larson, Dmitry Vaintrob
Given an abelian variety of dimension over a number field , and a prime , the -torsion points of give rise to a representation $ρ_{A, \ell^n} : \gal(\b…
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…
Upper Bounds for the Number of Number Fields with Alternating Galois Group
Eric Larson, Larry Rolen
We study the number of number fields of degree whose Galois closure has Galois group and whose discriminant is bounded by . By a conjecture of Malle, we…
Progress Towards Counting D_5 Quintic Fields
Eric Larson, Larry Rolen
Let be the number of quintic number fields whose Galois closure has Galois group and whose discriminant is bounded by . By a conjecture of Malle, we expect th…