Hausdorff Center for Mathematics Courses

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

Follow-up Workshop to TP Rigidity

Explore advanced mathematical rigidity theory through expert lectures on acylindrically hyperbolic groups, K-theory, mapping class groups, and the Farrell-Jones Conjecture.

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

Optimal Transportation - Junior Trimester Program

Explore advanced mathematical concepts in optimal transportation theory through expert lectures covering gradient flows, large deviations, and geometric analysis applications.

• YouTube
• 2 days 7 minutes
• Self-Paced
• Free Video

Homotopy Theory, Manifolds, and Field Theories

Explore advanced topics in homotopy theory through expert lectures on elliptic cohomology, factorization homology, and moduli spaces of manifolds from leading mathematicians.

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

Universality and Homogeneity - Trimester Program Lectures

Explore advanced mathematical concepts in universality and homogeneity through expert lectures covering geometric analysis, Ramsey theory, Nash equilibria, and categorical structures.

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

Diophantine Maps and Hilbert's Tenth Problem for Some Noncommutative Rings

Explore Diophantine maps and Hilbert's tenth problem in noncommutative rings, including twisted polynomial rings and their division ring variants.

• YouTube
• 1 hour
• Self-Paced
• Free Video

Finiteness and Diophantine Results in Hensel Minimal Structures

Explore advanced mathematical structures through Hensel minimal fields and discover analogues of Pila-Wilkie's counting results for rational points in specialized settings.

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

Pairs and Stable Completions of Difference Varieties

Explore pairs of ACFA models and their application to definable types in valued difference fields, advancing toward stable completions theory in this mathematical setting.

• YouTube
• 1 hour 4 minutes
• Self-Paced
• Free Video

Existential First-Order Definitions of Valuations in Function Fields

Explore existential first-order definitions of valuations in rational function fields, examining Denef's 1978 result and generalization challenges across different base fields.

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