Elliptic Curves Courses and Certifications

International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 3

Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2

Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.

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

International Centre for Theoretical Sciences

Counting Rational Points on Modular Curves of Genus 0 Over Number Fields by Peter Bruin

Explore techniques for counting rational points on modular curves of genus 0 over number fields, advancing understanding in arithmetic geometry and algebraic number theory.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4

Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.

• YouTube
• 1 hour 52 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Classical and Quadratic Chabauty - Lecture 3

Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.

• YouTube
• 1 hour 47 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3

Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

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
• On-Demand
• 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
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1

Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.

• YouTube
• 1 hour 54 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Computational Aspects of Nonabelian Chabauty - Lecture 1

Explore computational techniques for Nonabelian Chabauty methods in arithmetic geometry, focusing on rational points on modular curves and advanced number theory concepts.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

ICTP Mathematics

Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art

Explore zeta functions, L-functions, and Galois representations in geometric objects, focusing on plane projective curves and their conjectured relationships with analytic functions.

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

Fields Institute

2-Selmer Groups, 2-Class Groups, and the Arithmetic of Binary Forms

Explore Selmer groups, class groups, and binary forms in number theory. Gain insights into elliptic curves, hyperelliptic Jacobians, and superelliptic equations in this advanced mathematics seminar.

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

Hausdorff Center for Mathematics

Christian Bogner: The Analytic Continuation of the Kite and the Sunrise Integral

Explores advanced Feynman integrals using elliptic generalizations of polylogarithms, discussing properties through periods of elliptic curves and the Picard-Lefschetz theorem.

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

Hausdorff Center for Mathematics

Traces of CM Values and Geodesic Cycle Integrals of Modular Functions

Explores generating series of CM value traces and geodesic cycle integrals of modular functions, covering theta lifts and applications to L-series and cycle integral rationality.

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