Modular Forms Courses and Certifications

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Picard-Fuchs Equations and Modular Forms - Applications and Theory

Explore the intricate relationship between Picard-Fuchs equations and modular forms, examining their mathematical applications and theoretical foundations in algebraic differential equations.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Simons Institute

Randomness in Number Theory

Explore randomness in number theory, covering topics like finite fields, graphs, quantum gates, and the Riemann Hypothesis with Princeton's Peter Sarnak.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Institute for Advanced Study

The Unbounded Denominators Conjecture - Yunqing Tang

Explore the unbounded denominators conjecture in modular forms, its implications, and a new proof approach using arithmetic algebraization theorem.

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

Bill Buchanan OBE

An Interview with Neal Koblitz - Elliptic Curve Cryptography and Beyond

Renowned mathematician Neal Koblitz discusses his groundbreaking work in elliptic curve cryptography, its impact on modern security, and his insights on the field's evolution and future directions.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

IMSA

GPPV Invariants and the Spectrum of Singularities

Explore complex surface singularities, their 3-manifold links, and GPPV invariants. Discover new connections between modular forms and singularity spectra for Brieskorn homology spheres and ADE singularity links.

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

ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 4

Exploración profunda de las identidades Rogers-Ramanujan, su conexión con el icosaedro y sus implicaciones en teoría de números, formas modulares, combinatoria y teoría de campos conformes.

• YouTube
• 1 hour 17 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

Joint Mathematics Meetings

Symmetry, Almost

Explore mathematical symmetry, from abstract concepts to modular forms and quantum modular forms, with applications in various fields of mathematics and physics.

• YouTube
• 54 minutes
• On-Demand
• Conference Talk

International Centre for Theoretical Sciences

Introduction to Sphere Packing Problems by Abhinav Kumar

Explore sphere packing in geometry, covering its history, applications, and recent advances. Learn about lattices, codes, bounds, and energy minimization in various dimensions.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

Explores techniques for computing densest lattice packings, including quadratic forms, Hermite constants, and reduction theory. Covers perfect forms, eutactic lattices, and Voronoi's algorithm for listing perfect forms.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

Fields Institute

Symmetry, Almost

Explore the beauty of mathematical symmetry and its imperfections, focusing on modular forms and their variants. Discover how altering symmetries can reveal new insights and unexpected beauty.

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

ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 3

Explore the deep connections between Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more. Uncover the beauty and complexity of these mathematical gems.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Video

ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 2

Explore connections between Rogers-Ramanujan identities and icosahedron, linking number theory, modular forms, combinatorics, and conformal field theory in an accessible survey for mathematicians.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Video

ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 1

Explore the deep connections between the Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more in this accessible mathematical lecture.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

The Tau of Ramanujan by Eknath Ghate

Explore Ramanujan's tau-function, its significance in Number Theory, and recent developments. Discover intriguing patterns and open problems in this fascinating mathematical sequence.

• YouTube
• 1 hour 50 minutes
• On-Demand
• Free Video