Calabi-Yaus and Curves in Feynman Integrals
Explore the intricate connection between Calabi-Yau manifolds and Feynman integrals in particle physics, unraveling complex mathematical structures in quantum field theory.
Lenstra's Elliptic Curve Factorization Method
Explore Lenstra's elliptic curve factorization method, its applications in cryptography, and its impact on computational number theory. Learn about this fast special-purpose algorithm and its mathematical foundations.
Arithmetic Statistics and the Iwasawa Theory of Elliptic Curves
Explore arithmetic statistics and Iwasawa theory of elliptic curves, covering Selmer groups, Greenberg's Conjecture, and p-adic Birch and Swinnerton-Dyer Conjecture in this advanced number theory seminar.
The Arithmetic of Quadratic Twists of Elliptic Curves
Explore quadratic twists of elliptic curves, Selmer groups, and L-values. Delve into the congruent number problem and progress on the BSD conjecture. Gain insights into advanced number theory concepts.
Post-Quantum Key Exchange from Supersingular Isogenies - IPAM at UCLA
Explore post-quantum cryptography with a focus on Supersingular Isogeny Diffie-Hellman (SIDH) key exchange, aimed at beginners but benefiting from basic elliptic curve knowledge.
Applied Cryptography and Trust - Public Key Encryption
Explore public key encryption, including RSA and elliptic curve methods, to understand secure communication and key pair concepts in modern cryptography.
Crypto Fundamentals
Explore cryptography essentials including set theory, modular arithmetic, finite groups, and elliptic curves. Gain foundational knowledge for understanding modern cryptographic systems.
E-Security - Key Exchange
Explore key exchange methods, including Diffie-Hellman and elliptic curve cryptography, for secure communication and forward secrecy in modern applications.
Isogenies in Cryptography - Session 2
Explore cutting-edge research on isogeny-based cryptography in this advanced session from Eurocrypt 2023, featuring presentations on the latest developments and applications in the field.
A New Case of BSD Conjecture and Deformation of Line Bundles
Explores a new case of the BSD conjecture for elliptic curves and examines deformation of line bundles in positive and mixed characteristic, applying rigidity properties of variations of Hodge structures.
Isogenies in Cryptography - Eurocrypt 2024 Session
Explore cutting-edge cryptographic research on isogenies, presented at Eurocrypt 2024. Gain insights into advanced mathematical concepts and their applications in modern cryptography.
Post-Quantum Isogeny Cryptography
Explore post-quantum cryptography focusing on elliptic curve isogenies. Learn about secure key exchange and signature algorithms for potential quantum computing threats.
Practical Attacks Against Attribute-based Encryption
Explore practical attacks on attribute-based encryption, examining vulnerabilities in multi-authority schemes and their implications for cloud security and IoT applications.
More Secrets of Cryptography
Explore advanced cryptography concepts like hash functions, elliptic curves, and quantum cryptography, with practical applications in web trust and blockchain technology.
Mathematics and Development of Fast TLS Handshakes
Explore fast TLS handshakes using modern cryptography algorithms, with benchmarks comparing Tempesta TLS to OpenSSL/Nginx, focusing on elliptic curve computations and security considerations.
Cryptography Fundamentals - Elliptic Curve Fundamentals
Explore elliptic curve points as an alternative to discrete logarithms in cryptography, offering improved efficiency and security for various applications.
Low Lying Zeros in Families Related to Complex Multiplication Elliptic Curves
Delve into advanced number theory concepts focusing on low-lying zeros and their relationship to CM elliptic curves, exploring mathematical patterns and theoretical frameworks in this specialized mathematical domain.
Vanishing of Twisted L-Functions of Elliptic Curves Over Function Fields
Explore vanishing of twisted L-functions for elliptic curves over function fields, focusing on rich characters, Honda Theory, and Legendre Theory in this advanced mathematical discussion.
Isogeny-based Cryptography on the Abelian Surface
Explore isogeny-based cryptography on abelian surfaces, delving into advanced mathematical concepts and their applications in modern cryptographic systems.
A Requiem for SIDH - Efficient Algorithms for Supersingular Isogeny Diffie-Hellman
Explore isogeny-based cryptography's rise and fall, from SIDH's game-changing efficiency to its ultimate demise, and discover potential future directions for post-quantum cryptosystems.
Isogeny-Based Cryptography After The Snap
Explore the latest developments in isogeny-based cryptography post-SIKE attack, examining its impact and future prospects in post-quantum cryptography.