Elliptic Curves Courses and Certifications

International Centre for Theoretical Sciences

Elliptic Curves and the Special Values of L-Functions (2022)

Explore advanced mathematical theories connecting elliptic curves, L-functions, and arithmetic geometry through expert lectures on Iwasawa theory, Selmer groups, and special values.

• YouTube
• 2 days 4 hours 3 minutes
• On-Demand
• Free Video

NCCR SwissMAP

Elliptic Curves and Meromorphic Modular Forms

1 review

Explore the intricate relationship between elliptic curves and meromorphic modular forms in this advanced mathematical presentation from a leading researcher at MPIM Bonn.

• YouTube
• 10 minutes
• On-Demand
• Free Video

International Mathematical Union

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.

• YouTube
• 46 minutes
• On-Demand
• Free Video

Fields Institute

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.

• YouTube
• 57 minutes
• On-Demand
• Free Video

BIMSA

Heuristics for the Arithmetic of Elliptic Curves and Abelian Varieties

Explore probabilistic models for elliptic curve arithmetic, examining theoretical evidence and predictions for higher-dimensional abelian varieties.

• YouTube
• 1 hour
• On-Demand
• Free Video

Isaac Newton Institute for Mathematical Sciences

Elliptic Curves Associated to Two-Loop Graphs and Feynman Diagrams - Rothschild Lecture

Explore elliptic curves in two-loop Feynman diagrams, examining their emergence in cubic hypersurfaces and potential connections to elliptic dilogarithms in quantum field theory amplitudes.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

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.

• YouTube
• 46 minutes
• On-Demand
• Free Video

TheIACR

Elliptic Curves and Isogenies

Dive into advanced cryptographic concepts exploring elliptic curves and isogenies from Eurocrypt 2025, chaired by Emmanuel Thomé.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Elliptic Curves and Definability Over Big Rings

Explore rank stability results and their implications for definability over big subrings of number fields through elliptic curve theory.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Andrew Wiles Talks to Hannah Fry

Renowned mathematician Andrew Wiles discusses his work on Elliptic Curves and shares insights on motivation, resilience, and mathematics education in a captivating conversation with Hannah Fry.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Torsion Points of Elliptic Curves via Berkovich Spaces over Z

Explore torsion points of elliptic curves using Berkovich spaces over Z in this advanced mathematical lecture by Jérôme Poineau at CIRM's thematic meeting on global invariants of arithmetic varieties.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Strong Approximation for the Markoff Equation via Nonabelian Level Structures - William Chen

Explore strong approximation for the Markoff equation through nonabelian level structures on elliptic curves, delving into representation varieties and modular interpretations.

• YouTube
• 1 hour 13 minutes
• On-Demand
• Free Video

Churchill CompSci Talks

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.

• YouTube
• 31 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Vertical Coincidences of an Elliptic Curve Defined Over a Number Field

Explore vertical coincidences in elliptic curves over number fields, extending Daniels-Lozano-Robledo's work beyond rational numbers to general number field cases.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Hilbert Tenth Problem for Finitely Generated Rings

Explore advanced techniques for constructing elliptic curves with prescribed rank to resolve Hilbert's tenth problem for finitely generated rings using diophantine methods.

• YouTube
• 57 minutes
• On-Demand
• Free Video