Modular Forms Courses and Certifications

INI Seminar Room 2

Modular Forms and Black Holes in N=4 String Theories

Delve into advanced mathematical physics exploring modular forms, their relationship to black hole physics in N=4 string theories, and connections to K3 surfaces and Mathieu group symmetries.

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

INI Seminar Room 2

Rademacher Expansions for False and Mock Modular Forms

Delve into advanced mathematical concepts exploring Rademacher expansions, examining their application to false and mock modular forms while uncovering connections to holomorphic modular theory.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Brjuno Functions, Hölder Continuity and Modular Forms

Explore Brjuno functions, Hölder continuity, and modular forms in dynamical systems with Stefano Marmi. Gain insights into cutting-edge research presented at IMPA's international conference celebrating Marcelo Viana.

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

Galileo Galilei Institute

Modular Forms and String Theory - Lecture 3

Explore connections between modular forms and string theory, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 39 minutes
• Self-Paced
• Free Video

Galileo Galilei Institute

Modular Forms and String Theory - Lecture 2

Explore connections between modular forms and string theory, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 45 minutes
• Self-Paced
• Free Video

Galileo Galilei Institute

Modular Forms and String Theory - Lecture 1

Explore the intricate connection between modular forms and string theory in this advanced physics lecture, delving into mathematical foundations and theoretical applications.

• YouTube
• 1 hour 28 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Ramanujan, Modular Forms and Beyond

Explore Ramanujan's groundbreaking work on modular forms and mock theta functions, connecting number theory to modern mathematical applications in physics and geometry.

• YouTube
• 1 hour 2 minutes
• Self-Paced
• Free Video

Stony Brook Mathematics

Counting Curves and Surfaces in Calabi-Yau Threefolds and Modular Forms

Explore the S-duality modularity conjecture from string theory, connecting D-brane counting problems in Calabi-Yau threefolds to modular forms through advanced algebraic geometry.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Bogolyubov Institute for Theoretical Physics

Painlevé I Equation and Modular Forms

Explore the deep connections between Painlevé I differential equations and modular forms through advanced mathematical analysis and theoretical insights.

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

NCCR SwissMAP

Rigid Classes for SL(n) and p-adic Families of Modular Forms

Explore rigid classes for SL(n) and their connection to p-adic families of modular forms in this advanced mathematical presentation.

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

Institut des Hautes Etudes Scientifiques (IHES)

Towards mod p Local Global Compatibility for Partial Weight One Hilbert Modular Forms

Explore advanced number theory through mod p Hilbert modular forms, Galois representations, and local-global compatibility conjectures for totally real fields.

• YouTube
• 1 hour 12 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 1

Explore modular forms, elliptic curves, and modular curves in this advanced lecture. Gain insights into arithmetic geometry and the study of rational points on varieties.

• YouTube
• 1 hour 32 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 2

Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights into rational points and their significance in number theory.

• YouTube
• 1 hour 40 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 4

Explore advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Gain insights from expert Eknath Ghate in this in-depth lecture.

• YouTube
• 1 hour 37 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 3

Explores advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Builds on previous lectures to deepen understanding of these fundamental objects.

• YouTube
• 1 hour 30 minutes
• Self-Paced
• Free Video