Differential Geometry Courses and Certifications

Institute for Advanced Study

Mathematical Physics Seminar - Log-Sobolev Inequality, Maass Spectra, Grassmann Integrals, and Advanced Topics

Explore advanced mathematical physics topics including Ising models, Maass spectra, Grassmann integrals, flat surfaces, Gibbs measures, and conformal field theory.

• YouTube
• 8 hours 59 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Symplectic Dynamics and Geometry Seminar

Explore advanced topics in symplectic geometry through expert lectures on Jordan loops, sub-Riemannian geometry, contact topology, and Floer cohomology from leading researchers.

• YouTube
• 11 hours 17 minutes
• Self-Paced
• Free Video

Fields Institute

Optimal Transportation, Geometry and Dynamics

Explore advanced mathematical theory connecting optimal transport problems with geometric structures and dynamical systems through 24 comprehensive lectures from Fields Institute.

• YouTube
• 1 day 9 hours 39 minutes
• Self-Paced
• Free Video

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

International Centre for Theoretical Sciences

Introduction to General Relativity

Dive into Einstein's theory of spacetime, gravity, and the universe through comprehensive lectures by renowned physicist Ashoke Sen from ICTS.

• YouTube
• 2 days 17 hours 50 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

First-Passage Percolation and Related Models 2022

Explore advanced mathematical concepts in first-passage percolation through expert lectures covering geodesics, fluctuations, solvable models, and limiting behaviors.

• YouTube
• 1 day 9 hours 48 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Combinatorial Algebraic Geometry - Tropical and Real

Explore advanced tropical geometry, real algebraic geometry, and combinatorial methods through expert lectures covering polytopes, optimization, quantum field theory, and geometric applications.

• YouTube
• 1 day 14 hours 25 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Calculus of Variations in Probability and Geometry

Explore advanced mathematical techniques connecting calculus of variations, probability theory, and geometric inequalities through expert lectures on isoperimetric problems and applications.

• YouTube
• 11 hours 14 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Evolution of Interfaces - Trimester Program

Explore advanced mathematical theories on interface evolution, covering De Giorgi-Almgren theory, Brakke's mean curvature flow, convex integration, and cutting-edge research in PDEs and fluid dynamics.

• YouTube
• 1 day 11 hours 40 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Non-commutative Geometry and its Applications

Explore advanced mathematical concepts through expert lectures on non-commutative geometry, covering C*-algebras, spectral triples, quantum field theory, and applications to particle physics.

• YouTube
• 3 days 5 hours
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Optimal Transportation - Junior Trimester Program

Explore advanced mathematical concepts in optimal transportation theory through expert lectures covering gradient flows, large deviations, and geometric analysis applications.

• YouTube
• 2 days 7 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Summer School in Dynamics - Introductory and Advanced

Explore fundamental and advanced concepts in dynamical systems through circle maps, ergodic theory, and renormalization techniques with expert-led lectures and hands-on tutorials.

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

ICTP Mathematics

Geometry of Moduli Spaces of Curves

Explore advanced algebraic geometry through moduli spaces of stable curves, vector bundles of coinvariants, conformal blocks, and their cohomological properties and relationships.

• YouTube
• 10 hours 34 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Geometric Measure Theory and Optimal Transport

Explore advanced mathematical concepts connecting geometric measure theory with optimal transport through expert lectures on regularity theory, Monge-Ampère equations, and stability results.

• YouTube
• 1 day 7 hours 45 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Advanced School and Workshop on Geometry of Discrete Actions

Explore discrete group actions in geometry through hyperbolic spaces, complex dynamics, Teichmüller theory, and holomorphic dynamics with leading mathematicians.

• YouTube
• 1 day 16 hours 38 minutes
• Self-Paced
• Free Video