Hausdorff Center for Mathematics Courses

Summer School on Modern Directions in Discrete Optimization

Explore cutting-edge techniques in discrete optimization including parameterized algorithms, tropical geometry applications, interior point methods, and approximation algorithms.

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

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

High Dimensional Measures - Geometric and Probabilistic Aspects

Explore advanced geometric and probabilistic aspects of high-dimensional measures through expert lectures on functional inequalities, convex geometry, and random matrices.

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

Winter School on the Interplay between High-Dimensional Geometry and Probability

Explore advanced mathematical concepts connecting high-dimensional geometry with probability theory through expert lectures on stochastic geometry, isoperimetry, and functional inequalities.

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

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

Dynamics - Topology and Numbers

Explore advanced mathematical dynamics through expert lectures on homogeneous dynamics, transfer operators, quantum modular forms, and spectral theory applications.

• YouTube
• 1 day 4 hours 54 minutes
• Self-Paced
• Free Video

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

Evolution of Interfaces - Trimester Program

Explore advanced mathematical theories on interface evolution, covering De Giorgi-Almgren theory, Brakke's mean curvature flow, convex integration, and cutting-edge research in PDEs and fluid dynamics.

• YouTube
• 1 day 11 hours 40 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