Fields Institute Courses

Computational Commutative Algebra and Computational Algebraic Geometry

Master computational methods in commutative algebra and algebraic geometry through 11 comprehensive lectures by Professor Mike Stillman at the Fields Institute.

• YouTube
• 1 day 3 hours 35 minutes
• Self-Paced
• Free Video

Machine Learning and Dynamical Systems

Explore cutting-edge research at the intersection of machine learning and dynamical systems, covering reservoir computing, Koopman operators, and data-driven control methods.

• YouTube
• 1 day 35 minutes
• Self-Paced
• Free Video

Graduate Course on K-Theory and C*-Algebras

Master advanced mathematical concepts in K-Theory and C*-Algebras through comprehensive graduate-level lectures from the Fields Institute's operator algebras program.

• YouTube
• 1 day 5 hours 22 minutes
• Self-Paced
• Free Video

Automorphic Forms and Representation Theory - An Introduction to the Langlands Program

Dive into automorphic forms and representation theory through the groundbreaking Langlands Program, exploring deep connections between number theory and harmonic analysis.

• YouTube
• 1 day 6 hours 51 minutes
• Self-Paced
• Free Video

Introduction to Random Walks on Groups

Explore the mathematical theory of random walks on groups through 21 comprehensive lectures from the Fields Institute's graduate-level program.

• YouTube
• 1 day 6 hours 4 minutes
• Self-Paced
• Free Video

Machine Learning and Dynamical Systems

Explore cutting-edge research connecting machine learning with dynamical systems through 40+ expert presentations on reservoir computing, Koopman operators, and neural differential equations.

• YouTube
• 20 hours 58 minutes
• Self-Paced
• Free Video

Tame Geometry, Transseries and Applications to Analysis and Geometry

Delve into advanced mathematical structures through o-minimality, transseries, and tame geometry with applications to analysis, singularities, and differential equations.

• YouTube
• 6 days 23 hours 16 minutes
• Self-Paced
• Free Video

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

Focus Program on Analytic Function Spaces and their Applications

Explore advanced mathematical concepts in Hardy spaces, Bergman spaces, model theory, and operator analysis through comprehensive mini-courses and specialized workshops.

• YouTube
• 1 week 1 day 13 hours 52 minutes
• Self-Paced
• Free Video

Workshop on Algebraic Graph Theory and Quantum Information

Explore advanced connections between algebraic graph theory and quantum information through expert presentations on quantum walks, eigenvalue analysis, and state transfer mechanisms.

• YouTube
• 13 hours 52 minutes
• Self-Paced
• Free Video

Theta Series - Representation Theory, Geometry, and Arithmetic

Explore advanced topics in theta series connecting representation theory, algebraic geometry, and arithmetic through lectures on modular forms, Shimura varieties, and L-functions.

• YouTube
• 18 hours 50 minutes
• Self-Paced
• Free Video

Workshop on Real Algebraic Geometry and Algorithms for Geometric Constraint Systems

Explore advanced topics in real algebraic geometry, geometric constraints, and computational methods through expert presentations on frameworks, optimization, and discrete geometry.

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

Low-Rank Models and Applications

Explore cutting-edge research in low-rank models, tensor decomposition, PCA, and matrix completion through expert presentations on computational methods and theoretical advances.

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

Workshop on Distance Geometry - Semidefinite Programming and Applications

Explore advanced mathematical techniques connecting distance geometry, semidefinite programming, and polynomial optimization through expert presentations and research insights.

• YouTube
• 14 hours 26 minutes
• Self-Paced
• Free Video

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