Mathematics Courses and Certifications

NCCR SwissMAP

Integrability in Condensed Matter Physics and Quantum Field Theory

Explore advanced mathematical techniques in integrable systems, from spin chains to quantum field theory, through expert lectures on Bethe ansatz, conformal bootstrap, and modern applications.

• YouTube
• 1 day 7 hours 12 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Master Class in Geometry, Topology and Physics

Explore advanced mathematical physics through algebraic geometry, symplectic geometry, quantum topology, field theory, and Poisson geometry in this intensive master class series.

• YouTube
• 1 week 20 hours 28 minutes
• Self-Paced
• Free Video

IPhT-TV

Group Theory in a Nutshell for Physicists

Master group theory fundamentals through Anthony Zee's comprehensive physics-focused approach across five detailed sessions.

• YouTube
• 9 hours 6 minutes
• Self-Paced
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometry for Higher Spin Gravity - Conformal Structures, PDEs, and Q-manifolds

Explore advanced mathematical frameworks connecting higher-spin gravity, conformal geometry, and quantum field theory through expert lectures on Cartan geometries, holography, and PDEs.

• YouTube
• 2 days 15 hours 48 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Hyperbolic Manifolds, Their Submanifolds and Fundamental Groups (2025)

Explore cutting-edge developments in hyperbolic geometry and group theory through expert lectures and hands-on minicourses from leading mathematicians worldwide.

• YouTube
• 1 day 6 hours 39 minutes
• Self-Paced
• Free Video

Instituto de Matemática Pura e Aplicada

Numerical Methods for Partial Differential Equations (2022)

Master advanced computational techniques for solving partial differential equations through rigorous mathematical analysis and practical implementation methods.

• YouTube
• 1 day 4 hours 26 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Computational Time-Frequency and Coorbit Theory

Explore advanced mathematical analysis through computational time-frequency methods, coorbit theory, and function spaces with applications to wavelets, Gabor frames, and operator theory.

• YouTube
• 12 hours 20 minutes
• Self-Paced
• Free Video

Centre International de Rencontres Mathématiques

Number Theory and its Applications to Cryptography

Explore advanced number theory applications to cryptography through elliptic curves, Frobenius distributions, and pseudorandom generators in this comprehensive mathematical semester.

• YouTube
• 20 hours 5 minutes
• Self-Paced
• Free Video

NPTEL-NOC IITM

Introduction to Algebraic Geometry

Explore fundamental concepts in algebraic geometry, from commutative algebra to schemes, covering varieties, morphisms, and sheaf theory with comprehensive tutorials.

• YouTube
• 1 day 9 hours 5 minutes
• Self-Paced
• Free Video

Dr. Prinson P Samuel

Symmetry and Group Theory - MSc Chemistry Sem 1

Master symmetry operations, character tables, and molecular vibrations through comprehensive group theory principles for advanced chemistry applications.

• YouTube
• 22 hours 8 minutes
• Self-Paced
• Free Video

Centre de recherches mathématiques - CRM

CRM CAMP in Nonlinear Analysis - Computer-Assisted Methods of Proof

Explore computer-assisted proof methods for dynamical systems and nonlinear analysis through expert presentations on chaos, bifurcations, and rigorous numerical techniques.

• YouTube
• 2 days 10 hours 41 minutes
• Self-Paced
• Free Video

Utrecht Geometry Centre

Introduction to Algebraic Topology

Discover fundamental concepts in algebraic topology including fundamental groups, van Kampen's theorem, and surface classification in this comprehensive introduction.

• YouTube
• 1 hour 36 minutes
• Self-Paced
• Free Video

Utrecht Geometry Centre

Geometry, Mechanics, and Control - Young Researchers Workshop

Explore advanced topics in differential geometry, optimal control theory, and mathematical physics through expert lectures on Pontryagin principles, contact manifolds, and Hamiltonian systems.

• YouTube
• 9 hours 47 minutes
• Self-Paced
• Free Video

BunG Seminar

Geometric Langlands Seminar - Dieudonné Theory and Barsotti-Tate Groups

Explore advanced topics in algebraic geometry through expert lectures on Barsotti-Tate groups, Dieudonne theory, moduli stacks, and p-adic Hodge theory from leading mathematicians.

• YouTube
• 1 day 3 hours 57 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Arithmetic Geometry Seminar - Advanced Topics in p-adic Geometry and Algebraic Number Theory

Explore cutting-edge research in arithmetic geometry through expert presentations on p-adic Hodge theory, moduli spaces, and geometric Langlands correspondence.

• YouTube
• 1 day 5 hours 45 minutes
• Self-Paced
• Free Video