Modular Forms Courses and Certifications

GPPV Invariants and the Spectrum of Singularities

Explore the modularity properties of GPPV invariants in 3-manifolds with the University of Miami. Understand their relation with the spectrum of singularities in under an hour.

• YouTube
• 51 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

The Tau of Ramanujan by Eknath Ghate

Explore Ramanujan's tau-function with Eknath Ghate from TIFR, Mumbai. Dive into Number Theory, understand its themes, and study open problems. Duration: 1-2 hours.

• YouTube
• 1 hour 50 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Modular Forms by Mahesh Kakde

Explore the geometry of sphere packing with ICTS, covering topics like modular forms, energy minimization, and quadratic forms. Learn from experts in a series of 10 lectures.

• YouTube
• 1 hour 43 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Introduction to Sphere Packing Problems by Abhinav Kumar

Explore the geometry of sphere packing with ICTS, covering topics like lattices, energy minimization, and modular forms. Learn from experts in a series of 10 lectures.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy

Explore sphere packing, quadratic forms, and Hermite constant in this 1-2 hour program by the International Centre for Theoretical Sciences. Learn about lattice reduction theory and perfect forms.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Online Course

Fields Institute

Quantum Complexity and L-functions

Explore quantum complexity and L-functions with Kiran Kedlaya from the University of California, San Diego. Dive into cohomology, modular forms, and Mordell-Weil theorem in under an hour.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

Fields Institute

Symmetry, Almost

Explore the concept of symmetry in mathematics and nature, its beauty, and the impact of its alteration, in this short talk by Fields Institute. Delve into modular forms and their variants.

• YouTube
• 31 minutes
• On-Demand
• Free Online Course

International Mathematical Union

Atsushi Ichino- Theta Lifting and Langlands Functoriality

Explore Theta lifting and Langlands functoriality in less than an hour with Atsushi Ichino's program offered by the International Mathematical Union.

• YouTube
• 44 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA

Dive into computer-assisted proofs in quadratic forms arithmetic with Princeton's Johnathan Hanke. Offered by IPAM at UCLA, this under 1-hour material explores theorems made possible by modern software.

• YouTube
• 47 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

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

Dive into the modularity of geometric objects with ICTP Mathematics. Understand zeta functions, L-functions, and Galois representations in under an hour.

• YouTube
• 55 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 3

Explore the beautiful Rogers-Ramanujan identities and their intricate relation to the icosahedron in this 1-2 hour material by ICTP Mathematics. No prerequisites required.

• YouTube
• 1 hour 24 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 2

Explore the beautiful Rogers-Ramanujan identities and their intricate relation to the icosahedron in this 1-2 hour material by ICTP Mathematics. No prerequisites required.

• YouTube
• 1 hour 45 minutes
• On-Demand
• Free Online Course

ICTP Mathematics

The Rogers-Ramanujan Identities and the Icosahedron - Lecture 1

Explore the beautiful Rogers-Ramanujan identities and their intricate relation to the icosahedron in this 1-2 hour material by ICTP Mathematics. No prerequisites required.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Online Course

Institute for Advanced Study

The Unbounded Denominators Conjecture - Yunqing Tang

Explore the unbounded denominators conjecture in number theory with Yunqing Tang from Princeton University. Learn about modular forms, denominators, and proof techniques in a 1-2 hour seminar.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Online Course

Simons Institute

Randomness in Number Theory

Explore randomness in number theory with Peter Sarnak from Princeton University, offered by Simons Institute. Dive into prime numbers, quantum gates, and more in 1-2 hours.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Online Course