Mathematical Physics Courses and Certifications

Fields Institute

Symplectic Geometry

Master symplectic manifolds, Darboux theorem, Hamiltonian mechanics, moment maps, and advanced topics like toric varieties, quantization, and mirror symmetry in this comprehensive mathematical framework.

• YouTube
• 1 day 11 hours 57 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Mathematical and Numerical Aspects of Gravitation

Explore advanced mathematical and numerical methods in general relativity, from black hole stability to gravitational waves and cosmic censorship conjectures.

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

ICTP Mathematics

School and Conference on Dynamical Systems

Explore advanced dynamical systems theory through expert lectures on chaotic dynamics, conservative systems, ergodic theory, and geometric aspects from leading mathematicians.

• YouTube
• 2 days 9 hours 28 minutes
• Self-Paced
• Free Video

Institut Henri Poincaré

Mathematical General Relativity - 2015 Trimester

Explore advanced mathematical frameworks of general relativity, black hole theory, and self-gravitating matter through expert lectures from Princeton and leading researchers.

• YouTube
• 1 day 14 hours 14 minutes
• Self-Paced
• Free Video

Institut Henri Poincaré

Semantics of Proofs and Certified Mathematics

Explore the mathematics of formal proofs and certified mathematics through lectures on proof assistants, type theory, and the Curry-Howard correspondence.

• YouTube
• 18 hours 58 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)

Between Geometry and Relativity - Summer School

Explore advanced mathematical physics connecting differential geometry with Einstein's general relativity through expert lectures on initial data construction, energy theorems, and spacetime dynamics.

• YouTube
• 14 hours 42 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

MonashPhysicsAndAstronomy

Physics Lectures - Special Relativity and Quantum Mechanics

Master fundamental physics through comprehensive lectures on Special Relativity and Quantum Mechanics from Monash University's physics department.

• YouTube
• 1 day 2 hours 15 minutes
• Self-Paced
• Free Video

Physics with Professor Matt Anderson

Potential and Field - Mathematical Techniques for Electric Field and Electric Potential - Module 20

Master mathematical techniques for converting between electric field and electric potential, including energy density calculations and metal interactions.

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

Physics with Professor Matt Anderson

Gauss' Law - Module 18

Master Gauss' Law and its powerful mathematical techniques for calculating electric fields from symmetric charge distributions in this comprehensive physics module.

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

Harvard CMSA

Math Science Lectures in Honor of Raoul Bott

Explore advanced mathematical concepts through prestigious lectures honoring Raoul Bott, covering integrability, knot theory, quantum topology, and Langlands program.

• YouTube
• 12 hours 24 minutes
• Self-Paced
• Free Video

Harvard CMSA

Workshop on Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras

Explore advanced quantum field theory and topological phases through homotopy theory and operator algebras in this intensive workshop featuring leading experts from Harvard, Caltech, and more.

• YouTube
• 1 day 10 hours 3 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Advanced Topics in Mathematical Gauge Theory - Higgs Bundles

Delve into advanced mathematical gauge theory and Higgs bundles through expert lectures covering sophisticated theoretical frameworks and their geometric applications.

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