Hausdorff Center for Mathematics Courses

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

Proofs and Computation Workshop

Explore advanced proof theory, reverse mathematics, and computational logic through expert talks on fixed points, modal proofs, and constructive mathematics.

• YouTube
• 16 hours 1 minute
• Self-Paced
• Free Video

Types, Sets and Constructions

Explore constructive algebra, intuitionistic type theory, and univalent foundations through expert lectures from leading mathematicians at this comprehensive summer school.

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

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

Periods in Number Theory, Algebraic Geometry and Physics - Trimester Program

Explore advanced mathematical connections between periods, motives, and physics through expert lectures on number theory, algebraic geometry, and quantum field applications.

• YouTube
• 3 days 2 hours 31 minutes
• Self-Paced
• Free Video

Periods and Regulators Workshop

Explore advanced mathematical concepts in periods and regulators through expert talks covering motivic theory, multiple zeta values, and algebraic cycles.

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

Categorification, Representation Theory and Symplectic Geometry

Explore advanced mathematical connections between categorification, representation theory, and symplectic geometry through expert lectures on Hilbert schemes, Fukaya categories, and KLR algebras.

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

Applied and Computational Algebraic Topology

Explore advanced applications of algebraic topology in neural networks, distributed computing, persistence homology, and geometric analysis through expert lectures.

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

Multiscale Problems - Algorithms, Numerical Analysis and Computation

Explore advanced mathematical techniques for solving complex multiscale problems through expert lectures on numerical analysis, finite element methods, and computational algorithms.

• YouTube
• 1 day 52 minutes
• Self-Paced
• Free Video

Junior Trimester Program - Topology

Explore advanced topology through expert lectures on operads, motivic Galois groups, L2-invariants, K-theory, and fusion systems from leading mathematicians.

• YouTube
• 2 days 16 hours 18 minutes
• Self-Paced
• Free Video

Mathematics of Signal Processing - Trimester Program Lectures

Explore advanced mathematical foundations of signal processing through expert lectures on compressive sensing, machine learning optimization, and Gabor analysis.

• YouTube
• 1 day 10 hours 59 minutes
• Self-Paced
• Free Video

Von Neumann Algebras - Trimester Program Lectures

Explore advanced operator algebra theory through expert lectures on Von Neumann algebras, covering group actions, tensor networks, and conformal field theory applications.

• YouTube
• 11 hours 43 minutes
• Self-Paced
• Free Video

Combinatorial Optimization - Trimester Program Lectures

Explore advanced combinatorial optimization through expert lectures covering discrete convex analysis, submodular functions, graph theory, and algorithmic approaches.

• YouTube
• 2 days 9 hours 51 minutes
• Self-Paced
• Free Video

Junior Trimester Program - Algebraic Geometry

Explore advanced algebraic geometry through expert lectures on modular forms, Shimura varieties, K3 surfaces, and birational geometry from leading mathematicians.

• YouTube
• 2 days 6 hours 46 minutes
• Self-Paced
• Free Video

Harmonic Analysis and Partial Differential Equations - Trimester Program Lectures

Explore advanced harmonic analysis and PDEs through expert lectures from leading mathematicians covering prime gaps, dispersive equations, and cutting-edge research developments.

• YouTube
• 1 day 15 hours 51 minutes
• Self-Paced
• Free Video