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Alice Silverberg
Researcher at University of California, Irvine
Publications - 124
Citations - 3876
Alice Silverberg is an academic researcher from University of California, Irvine. The author has contributed to research in topics: Abelian group & Elliptic curve. The author has an hindex of 28, co-authored 123 publications receiving 3705 citations. Previous affiliations of Alice Silverberg include University of California & Harvard University.
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Modular representations arising from self-dual $\ell$-adic representations of finite groups
Alice Silverberg,Yu. G. Zarhin +1 more
TL;DR: It is proved that G can be embedded in Sp2d in such a way that the characteristic polynomials are preserved (mod $\ell$), as long as $\ell>3$.
Using Mathematics to Make Computing on Encrypted Data Secure and Practical
TL;DR: The work performed here gives algorithms for lattice problems for lattices that have symmetry, in order to quantify the security of lattice-based cryptography, including especially theSecurity of homomorphic encryption schemes.
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Determining cyclicity of finite modules
TL;DR: In this article, a deterministic polynomial-time algorithm was presented to determine whether a finite module over a finite commutative ring is cyclic, and if it is, output a generator.
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Images of $\ell$-adic representations and automorphisms of abelian varieties
Alice Silverberg,Yu. G. Zarhin +1 more
TL;DR: In this paper, it was shown that the intersection of the identity connected component of the Zariski closure of the image of the ε-adic representation associated to an abelian variety over a global field is independent of the torsion subgroup of the endomorphism algebra.
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Isogenies of abelian varieties over finite fields
Alice Silverberg,Yu. G. Zarhin +1 more
TL;DR: Conditions under which two abelian varieties that are defined over a finite field, and are isogenous over some larger field, are$$F$$F-isogenous are given.