Elliptic Curves Courses and Certifications

Institute for Advanced Study

Number Theory Seminar - Advanced Topics in Arithmetic Geometry and L-Functions

Explore advanced number theory through expert lectures on L-functions, Galois representations, modular forms, and arithmetic geometry from leading mathematicians worldwide.

• YouTube
• 6 days 10 hours 57 minutes
• Self-Paced
• Free Video

Insights into Mathematics

The Differential Calculus for Curves - Differential Geometry

Exploring advanced differential calculus for algebraic curves, including tangent lines, conics, and point classification. Extends to 3D surfaces, offering a comprehensive view of curve analysis.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Panorama of Mathematics - Manjul Bhargava

Explore the Birch and Swinnerton-Dyer Conjecture with Fields Medalist Manjul Bhargava, delving into rational solutions of polynomial equations and the structure of points on cubic curves.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

Michael Penn

Tweaking the Fermat Last Theorem Equation

Explore variations of Fermat's Last Theorem equation, examining mathematical implications and potential insights into number theory and algebraic relationships.

• YouTube
• 10 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Number Theory and its Applications to Cryptography

Explore advanced number theory applications to cryptography through elliptic curves, Frobenius distributions, and pseudorandom generators in this comprehensive mathematical semester.

• YouTube
• 20 hours 5 minutes
• Self-Paced
• Free Video

Fields Institute

Fields Number Theory Seminar

Explore advanced number theory through expert seminars covering Galois theory, elliptic curves, L-functions, Shimura varieties, and arithmetic geometry from leading researchers.

• YouTube
• 3 days 11 hours 48 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Junior Trimester Program - Algebraic Geometry

Explore advanced algebraic geometry through expert lectures on modular forms, Shimura varieties, K3 surfaces, and birational geometry from leading mathematicians.

• YouTube
• 2 days 6 hours 46 minutes
• Self-Paced
• Free Video

International Mathematical Union

Probability Theory for Random Groups Arising in Number Theory

Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.

• YouTube
• 48 minutes
• Self-Paced
• Free Video

media.ccc.de

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.

• YouTube
• 52 minutes
• Self-Paced
• Conference Talk

Joint Mathematics Meetings

Complex Multiplication: Past, Present, Future - Lecture 2

Explore the evolution and future prospects of complex multiplication in mathematics with Benedict Gross in this insightful lecture from the Joint Mathematics Meetings.

• YouTube
• 51 minutes
• Self-Paced
• Free Video

Joint Mathematics Meetings

Complex Multiplication: Past, Present, Future - Lecture 1

Explore the history and foundations of complex multiplication in this engaging lecture by renowned mathematician Benedict Gross, delving into its past developments and current significance.

• YouTube
• 42 minutes
• Self-Paced
• Free Video

Michael Penn

Integer Points on Mordell Curves

Explore integer solutions on Mordell curves, a fascinating topic in number theory. Gain insights into this complex mathematical concept through clear explanations and examples.

• YouTube
• 23 minutes
• Self-Paced
• Free Video

PapersWeLove

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.

• YouTube
• 47 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Complex Multiplication - Lecture 1

Explore complex multiplication in mathematics through an in-depth lecture by Jan Vonk, covering fundamental concepts and advanced theories.

• YouTube
• 55 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Modularity of Abelian Surfaces

Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video