Harvard CMSA Courses

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

Summer School in Total Positivity and Quantum Field Theory

Explore cutting-edge connections between total positivity, matroid theory, and quantum field theory through amplituhedra, cluster algebras, and scattering amplitudes in physics.

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

Classical, Quantum, and Probabilistic Integrable Systems - Novel Interactions and Applications

Explore advanced mathematical frameworks connecting classical mechanics, quantum systems, and probability theory through cutting-edge research presentations.

• YouTube
• 1 day 14 hours 58 minutes
• Self-Paced
• Free Video

General Relativity Seminar - Advanced Topics in Einstein's Theory and Black Hole Physics

Explore advanced topics in general relativity through expert presentations on black holes, spacetime geometry, Einstein equations, and gravitational waves from leading researchers.

• YouTube
• 2 days 21 hours 45 minutes
• Self-Paced
• Free Video

Mathematics and Machine Learning Closing Workshop

Explore cutting-edge intersections of mathematics and machine learning through expert presentations on topology, fluid dynamics, AI-assisted discovery, and computational methods.

• YouTube
• 12 hours 51 minutes
• Self-Paced
• Free Video

Mathematics and Machine Learning Program - September 3 to November 1, 2024

Explore cutting-edge intersections of mathematics and AI through expert talks on theorem proving, neural networks, and automated mathematical discovery at Harvard CMSA.

• YouTube
• 2 days 18 hours 48 minutes
• Self-Paced
• Free Video

Graduate Topics in Deep Learning Theory

Explore advanced theoretical foundations of deep learning through graduate-level mathematical analysis and computational principles taught by Harvard CMSA.

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

Amplituhedra, Cluster Algebras, and Positive Geometry

Explore cutting-edge connections between amplituhedra, cluster algebras, and positive geometry in quantum field theory through expert lectures and collaborative discussions.

• YouTube
• 16 hours 51 minutes
• Self-Paced
• Free Video

Arithmetic Quantum Field Theory Program Lecture Series

Explore advanced connections between arithmetic topology, quantum field theory, and the Langlands program through expert lectures on algebraic QFT, automorphic forms, and mathematical physics.

• YouTube
• 23 hours 57 minutes
• Self-Paced
• Free Video

Arithmetic Quantum Field Theory Conference

Explore cutting-edge connections between number theory, quantum field theory, and geometry through expert talks on Langlands correspondence, L-functions, and mathematical physics.

• YouTube
• 21 hours 48 minutes
• Self-Paced
• Free Video

GRAMSIA - Graphical Models, Statistical Inference, and Algorithms

Explore cutting-edge mathematical foundations of graphical models, statistical inference algorithms, and their connections across mathematical sciences through expert presentations.

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

Workshop on Nonlinear Algebra and Combinatorics from Physics

Explore cutting-edge connections between nonlinear algebra, combinatorics, and physics through expert talks on amplituhedra, Feynman integrals, and geometric structures.

• YouTube
• 10 hours 36 minutes
• Self-Paced
• Free Video

Geometric Methods for Analyzing Discrete Shapes

Explore geometric methods for analyzing discrete shapes through expert presentations on triangulations, conformal mappings, and computational geometry applications.

• YouTube
• 15 hours 56 minutes
• Self-Paced
• Free Video

Spacetime and Quantum Mechanics Master Class Workshop

Explore advanced mathematical structures connecting spacetime geometry, quantum mechanics, and scattering amplitudes through intersection theory, cluster algebras, and the amplituhedron.

• YouTube
• 13 hours 42 minutes
• Self-Paced
• Free Video

Noncommutative Analysis, Computational Complexity, and Quantum Information

Explore advanced mathematical concepts connecting noncommutative analysis, computational complexity, and quantum information through expert lectures on optimization and algebraic structures.

• YouTube
• 10 hours 42 minutes
• Self-Paced
• Free Video