Zeta Fun tions Of Algebrai Cy les Over Finite Fields

One - Way Fun tions in Worst - Case Cryptography : Algebrai and Se urity Properties

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We des ribe eÆ ient onstru tions for various ryptographi primitives in private-key as well as publi -key ryptography. Our major results are two new onstru tions of pseudorandom fun tions. We prove the pseudo-randomness of one onstru tion under the assumption that fa toring (Blum integers) is hard while the other onstru tion is pseudo-random if the de isional version of the DiÆe-Hellman assumpti...

Moving Algebrai Cy les of Bounded Degree

The Chow Moving Lemma is a theorem whi h asserts that a given algebrai sy le on a smooth algebrai variety X an be moved within its rational equivalen e lass to interse t properly a given ry le on X provided that r + s dim(X) ( f. [Chow℄, [S2℄). In the past few years, there has been onsiderable interest in studying spa es of algebrai y les rather than simply y les modulo an equivalen e relation....

Rationality of Partial Zeta Fun tions

Moment Zeta Fun tions in Arithmeti Geometry