A. Silverberg

发表

Choosing the correct elliptic curve in the CM method

Alice Silverberg, Karl Rubin, K. Rubin, 2007, Math. Comput..

The best and worst of supersingular abelian varieties in cryptology

Alice Silverberg, Karl Rubin, K. Rubin, 2002, IACR Cryptol. ePrint Arch..

Using Mathematics to Make Computing on Encrypted Data Secure and Practical

H. Lenstra, A. Silverberg, 2015 .

Ranks of Elliptic Curves and Random Matrix Theory: Twists of elliptic curves of rank at least four

K. Rubin, A. Silverberg, 2007 .

Ranks of elliptic curves

K. Rubin, A. Silverberg, 2002 .

Explicit Families of Elliptic Curves with Prescribed Mod N Representations

A. Silverberg, 1997 .

Proof . Define an isomorphism φ : End

A. Silverberg, Y. Zarhin, 2022 .

COMPRESSION FOR TRACE ZERO SUBGROUPS OF ELLIPTIC CURVES

A. Silverberg, A. SILVERBERG, 2004 .

Mathematics and Hollywood: A conversation with mathematical Hollywood writers and mathematics faculty

David M. Bressoud, Alice Silverberg, Christopher D. Goff, 2008 .

Multiparty Non-Interactive Key Exchange and More From Isogenies on Elliptic Curves

Mark Zhandry, Dan Boneh, Mehdi Tibouchi, 2018, IACR Cryptol. ePrint Arch..

Rank Frequencies for Quadratic Twists of Elliptic Curves

K. Rubin, A. Silverberg, 2000, Exp. Math..

Ranks of elliptic curves over Q(t) with constant j-invariant

K. Rubin, A. Silverberg, 2000 .

Hierarchical verchlüsselung on identity and signature-based schemes

Craig Gentry, Alice Silverberg, Craig Gentry, 2003 .

Images of $\ell$-adic representations and automorphisms of abelian varieties

A. Silverberg, Y. Zarhin, 1996, alg-geom/9603001.

Polarizations on Abelian Varieties and Self-dual ℓ-adic Representations of Inertia Groups

A. Silverberg, Y. Zarhin, 1999, Compositio Mathematica.

Connectedness extensions for abelian varieties

A. Silverberg, Y. Zarhin, 1996, alg-geom/9603002.

Semistable reduction and torsion subgroups of abelian varieties

A. Silverberg, Y. Zarhin, 1995 .

Isogenies of abelian varieties

A. Silverberg, Y. Zarhin, 1993 .

A report on Wiles’ Cambridge lectures

K. Rubin, A. Silverberg, 1994, math/9407220.

Fields of definition for homomorphisms of abelian varieties

A. Silverberg, 1992 .

Mordell-Weil groups of generic Abelian varieties

A. Silverberg, 1985 .

Finiteness of Mordell-Weil groups of generic Abelian varieties

A. Silverberg, 1985 .

Reduction of Abelian Varieties

A. Silverberg, Y. Zarhin, 1996, alg-geom/9602014.

Ranks of Elliptic Curves in Families of Quadratic Twists

K. Rubin, A. Silverberg, 1999, Exp. Math..

Subgroups of Inertia Groups Arising from Abelian Varieties

A. Silverberg, Y. Zarhin, 1997, alg-geom/9706002.

Semistable reduction of abelian varieties over extensions of small degree

A. Silverberg, Y. Zarhin, 1997, alg-geom/9702004.

Hodge groups of Abelian varieties with purely multiplicative reduction

A. Silverberg, Y. Zarhin, 1995, alg-geom/9505037.

Quantum Money from Quaternion Algebras

D. Kane, A. Silverberg, Shahed Sharif, 2021, IACR Cryptol. ePrint Arch..

Corrigendum: Torsion points on abelian varieties of CM-type

A. Silverberg, 2017, Compositio Mathematica.

Modular representations arising from self-dual $\ell$-adic representations of finite groups

A. Silverberg, Y. Zarhin, 1998, math/9809107.

Mordell-Weil groups of generic abelian varieties in the unitary case

A. Silverberg, 1988 .

Explicit Arithmetic of Jacobians of Generalized Legendre Curves Over Global Function Fields

A. Silverberg, Jennifer Park, Chris Hall, 2015, Memoirs of the American Mathematical Society.

Practical Cryptography in High Dimensional Tori

David P. Woodruff, Marten van Dijk, Martijn Stam, 2005, EUROCRYPT.

Point counting on reductions of CM elliptic curves

K. Rubin, A. Silverberg, K. Rubin, 2007, 0706.3711.

Subdural empyema and cranial epidural abscess.

A. Silverberg, M. Dinubile, Alan L. Silverberg, 1985, The Medical clinics of North America.

Advances in Cryptology – EUROCRYPT 2019

David P. Woodruff, Martijn Stam, Robert Granger, 2019, Lecture Notes in Computer Science.

Connectedness results for $l$-adic representations associated to abelian varieties

A. Silverberg, Y. Zarhin, 1995 .

Twisting Commutative Algebraic Groups

B. Mazur, K. Rubin, A. Silverberg, 2006, math/0609066.

Applications of Multilinear Forms to Cryptography

Dan Boneh, Alice Silverberg, D. Boneh, 2002, IACR Cryptol. ePrint Arch..

Hierarchical ID-Based Cryptography

Craig Gentry, Alice Silverberg, Craig Gentry, 2002, ASIACRYPT.

RANKS “ CHEAT SHEET ”

A. Silverberg, 2013 .

Lattices with Symmetry

Hendrik W. Lenstra, Alice Silverberg, H. Lenstra, 2014, Journal of Cryptology.

Algorithms for Commutative Algebras Over the Rational Numbers

H. Lenstra, A. Silverberg, 2016, Foundations of Computational Mathematics.

Algorithms for Commutative Algebras Over the Rational Numbers

Hendrik W. Lenstra, Alice Silverberg, H. Lenstra, 2015, Foundations of Computational Mathematics.

Points of finite order on abelian varieties

A. Silverberg, 1992 .

Roots of Unity in Orders

Hendrik W. Lenstra, Alice Silverberg, H. Lenstra, 2015, Found. Comput. Math..

Revisiting the Gentry-Szydlo Algorithm

Hendrik W. Lenstra, Alice Silverberg, H. Lenstra, 2014, CRYPTO.

Universal gradings of orders

H. Lenstra, A. Silverberg, 2017, Archiv der Mathematik.

Some remarks on primality proving and elliptic curves

Alice Silverberg, A. Silverberg, 2014, Adv. Math. Commun..

A framework for deterministic primality proving using elliptic curves with complex multiplication

Alice Silverberg, Andrew V. Sutherland, Alexander Abatzoglou, 2014, Math. Comput..

Deterministic elliptic curve primality proving for a special sequence of numbers

Alice Silverberg, Andrew V. Sutherland, Alexander Abatzoglou, 2012, 1202.3695.

FAMILIES OF ELLIPTIC CURVES WITH CONSTANT MOD p REPRESENTATIONS

A. Silverberg, 2009 .

Compression in Finite Fields and Torus-Based Cryptography

Alice Silverberg, Karl Rubin, K. Rubin, 2008, SIAM J. Comput..

Finding composite order ordinary elliptic curves using the Cocks-Pinch method

Dan Boneh, Alice Silverberg, Karl Rubin, 2011, IACR Cryptol. ePrint Arch..

Testing isomorphism of lattices over CM-orders

Hendrik W. Lenstra, Alice Silverberg, H. Lenstra, 2017, SIAM J. Comput..

Making Computing on Encrypted Data Secure and Practical

Alice Silverberg, A. Silverberg, 2013 .

Fully Homomorphic Encryption for Mathematicians

Alice Silverberg, A. Silverberg, 2013, IACR Cryptol. ePrint Arch..

Using Abelian Varieties to Improve Pairing-Based Cryptography

Alice Silverberg, Karl Rubin, K. Rubin, 2009, Journal of Cryptology.

Supersingular Abelian Varieties in Cryptology

Alice Silverberg, Karl Rubin, K. Rubin, 2002, CRYPTO.

Arithmetic properties of the Frobenius traces defined by a rational abelian variety (with two appendices by J-P. Serre)

Katherine E. Stange, A. Silverberg, A. Cojocaru, 2015, 1504.00902.

Applications to cryptography of twisting commutative algebraic groups

Alice Silverberg, A. Silverberg, 2008, Discret. Appl. Math..

Variations on a theme of Minkowski and Serre

A. Silverberg, Y. Zarhin, 1996 .

Isogenies of abelian varieties over finite fields

A. Silverberg, Y. Zarhin, 2015, Designs, Codes and Cryptography.

Isogenies of abelian varieties over finite fields

Alice Silverberg, Yuri G. Zarhin, A. Silverberg, 2014, Des. Codes Cryptogr..

Étale cohomology and reduction of abelian varieties

A. Silverberg, Y. Zarhin, 1998, math/9808125.

ÉTALE COHOMOLOGY AND REDUCTION OF ABELIAN VARIETIES by A. Silverberg & Yu.G. Zarhin

A. Silverberg, Y. Zarhin, 2001 .

Contemporary Mathematics Group Order Formulas for Reductions of CM Elliptic Curves

A. Silverberg, 2010 .

Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant

K. Rubin, A. Silverberg, E. Rains, 2019, Algebra & Number Theory.

Efficient Traitor Tracing Algorithms Using List Decoding

Jessica Staddon, Judy L. Walker, Alice Silverberg, 2001, ASIACRYPT.

REMARKS AT AN AWM PANEL

A. Silverberg, 2007 .

Ranks of Elliptic Curves and Random Matrix Theory: The distribution of ranks in families of quadratic twists of elliptic curves

A. Silverberg, 2007 .

An Algebraic Approach to Multilinear Maps for Cryptography ( 18 w 5118 )

D. Boneh, A. Silverberg, T. Chinburg, 2018 .

Ranks of Elliptic Curves and Random Matrix Theory: Twists of elliptic curves of rank at least four

K. Rubin, A. Silverberg, 2007 .