Private Multiplication over Finite Fields
Explore secure multiparty computation techniques for private multiplication in finite fields, focusing on cryptographic protocols and their applications.
Fast Enumeration Algorithm for Multivariate Polynomials Over General Finite Fields - Session II
Explore fast enumeration algorithms for multivariate polynomials over finite fields, enhancing post-quantum cryptography understanding and applications.
Cryptography Fundamentals - Finite Fields and Galois Fields - Podcast 4
Explore finite fields (Galois fields) in cryptography, covering key concepts and applications in secure communication and data protection.
Quasirandomness of Definable Subsets of Definable Groups in Finite Fields
Delve into advanced mathematical concepts exploring quasirandomness in definable subsets of finite field groups through expert analysis and theoretical frameworks.
Towards a Formulation of the Birch and Swinnerton-Dyer Conjecture for Abelian Schemes Over Varieties Over Finite Fields
Delve into advanced number theory concepts exploring the Birch and Swinnerton-Dyer conjecture's formulation for abelian schemes over finite field varieties, presented by mathematician Amilcar Pacheco.
Projective Reed Muller Codes Revisited
Explore projective Reed Muller codes with Sudhir Ghorpade, revisiting key concepts and recent developments in algebraic coding theory.
APN and AB Power Functions in Cryptography
Explore APN and AB power functions in algebraic cryptography, focusing on their properties and applications in secure communication systems.
An Improved Line-Point Low-Degree Test for Polynomials Over Finite Fields - Lecture
Explore an improved line-point low-degree test for polynomials over finite fields, addressing a long-standing open question in low-degree testing with novel analysis techniques.
Applied l-adic Cohomology I - Lecture 3
Delve into advanced number theory concepts, exploring l-adic cohomology and trace functions through examples from modern analytic theory, with insights from Gauss, Weil, and Grothendieck's foundational work.
Counting Representations of Fuchsian Groups Over Finite Fields
Delve into advanced mathematical concepts exploring representation theory of Fuchsian groups, character bounds, and their applications in high-dimensional classical groups and Zariski-dense subgroups.
Applied l-adic Cohomology - Lecture 1
Delve into advanced number theory concepts, exploring l-adic cohomology and trace functions through Gauss's congruence theory and its modern applications in analytic number theory.
Applied l-adic Cohomology - Lecture 2
Delve into advanced number theory concepts, exploring trace functions, l-adic cohomology, and their applications in modern analytic theory through examples from Weil, Grothendieck, and Deligne's work.
Limitations of Stochastic Selection with Pairwise Independent Priors
Explore stochastic selection problems with pairwise-independent priors and matroid constraints, examining limitations and optimal bounds for contention resolution and prophet inequalities.
Applied l-adic Cohomology I - Lecture 4
Delve into advanced analytic number theory concepts, exploring trace functions, l-adic cohomology, and their applications in modern mathematics through expert insights from Philippe Michel.