Graph Theory Courses

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

International Centre for Theoretical Sciences

Ergodic Theory and Dynamical Systems 2022

Explore advanced topics in ergodic theory and dynamical systems through expert lectures on Diophantine approximation, homogeneous dynamics, and measure theory applications.

• YouTube
• 1 day 16 hours 22 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Infosys-ICTS String Theory Lectures - Advanced Topics in Theoretical Physics

Dive into advanced string theory topics including De Sitter space, S-matrix bootstrap, entanglement entropy, AdS/CFT integrability, black hole information paradox, and QFT symmetries.

• YouTube
• 1 day 20 hours 1 minute
• 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

North Carolina School of Science and Mathematics

Music Theory - Linear and Vertical

Explore fundamental music theory concepts from staff notation and scales to intervals, triads, and harmonic analysis through comprehensive linear and vertical approaches.

• YouTube
• 3 hours 31 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Free Entropy Theory and Random Matrices

Explore advanced connections between free probability theory, random matrices, and von Neumann algebras through expert lectures on entropy methods and spectral analysis.

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

Institute for Pure & Applied Mathematics (IPAM)

Theory and Practice of Deep Learning 2024

Explore cutting-edge research on neural network scaling, emergent properties, and the theoretical foundations underlying modern AI breakthroughs like ChatGPT and AlphaFold.

• YouTube
• 19 hours 7 minutes
• Self-Paced
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Symmetric Tensor Categories and Representation Theory

Explore advanced symmetric tensor categories and their applications in representation theory, Lie superalgebras, and algebraic structures through expert lectures and collaborative research.

• YouTube
• 20 hours 55 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Harmonic Analysis and Analytic Number Theory

Explore advanced polynomial methods, determinant techniques, and Fourier analysis in harmonic analysis and analytic number theory through expert lectures.

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

Hausdorff Center for Mathematics

Connections Between Representation Theory and Geometry - Winter School

Explore advanced connections between representation theory and geometry through A-infinity structures, Fukaya categories, and homological mirror symmetry techniques.

• YouTube
• 15 hours 27 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Kinetic Theory - Junior Trimester Program

Explore advanced mathematical theories in kinetic equations, particle systems, and their applications through expert lectures on diffusion, equilibrium, and scaling limits.

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

Hausdorff Center for Mathematics

Logic and Algorithms in Group Theory - Trimester Program

Explore advanced group theory through expert lectures on pseudofinite groups, representation theory, algorithms, stability, and algebraic geometry applications.

• YouTube
• 1 day 2 hours 57 minutes
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Types, Homotopy, Type Theory, and Verification Workshop

Delve into advanced type theory, homotopy theory, and verification through expert tutorials on cubical models, modal dependent types, and univalent foundations.

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