Mathematics Courses and Certifications

Fields Institute

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

Fields Institute

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

Fields Institute

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

Fields Institute

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

Fields Institute

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

Fields Institute

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

International Centre for Theoretical Sciences

Ramanujan Lectures - Advanced Topics in Number Theory and Mathematical Physics

Explore advanced mathematical theories through expert lectures on Ramanujan conjectures, macroscopic fluctuation theory, and l-adic cohomology applications.

• YouTube
• 13 hours 16 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Zariski Dense Subgroups, Number Theory and Geometric Applications - 2024

Explore advanced topics in Zariski dense subgroups, arithmetic groups, and their geometric applications through expert lectures on algebraic geometry and number theory.

• YouTube
• 1 day 17 hours 53 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Topics in Hodge Theory - 2023

Explore advanced mathematical concepts connecting differential geometry, algebraic dynamics, and transcendental methods through expert lectures on Torelli maps, Arakelov theory, and holomorphic forms.

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

Applied Algebraic Topology Network

Applied Algebraic Topology Networks Seminar - Applications and Theory of Network Structure Through Topology and Algebra

Explore how network structure is revealed through topology and algebra in this comprehensive seminar series covering graph neural networks, brain connectivity, and mathematical frameworks.

• YouTube
• 13 hours 45 minutes
• Self-Paced
• Free Video

Applied Algebraic Topology Network

Bridging Applied and Quantitative Topology 2022

Explore advanced connections between applied and quantitative topology through expert lectures on persistent homology, deep learning applications, and geometric data analysis.

• YouTube
• 9 hours 21 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Computational Interactions between Algebra, Combinatorics, and Discrete Geometry - 2025

Explore cutting-edge computational methods connecting algebra, combinatorics, and discrete geometry through expert presentations on polytopes, matroids, and algebraic structures.

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

Institute for Pure & Applied Mathematics (IPAM)

Integrability and Algebraic Combinatorics

Explore cutting-edge connections between integrable probability and algebraic combinatorics through vertex models, particle systems, and symmetric functions.

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

Hausdorff Center for Mathematics

Spectral Methods in Algebra, Geometry, and Topology

Explore advanced spectral methods across tensor triangular geometry, equivariant stable homotopy, representation theory, and chromatic homotopy theory.

• YouTube
• 11 hours 46 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Continuous Approaches to Discrete Optimization

Explore cutting-edge research connecting continuous optimization methods to discrete problems through expert talks on interior point methods, algorithms, and computational advances.

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