Mathematics Courses and Certifications

Hausdorff Center for Mathematics

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

Hausdorff Center for Mathematics

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

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

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

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

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

Hausdorff Center for Mathematics

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

Hausdorff Center for Mathematics

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

Hausdorff Center for Mathematics

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

Hausdorff Center for Mathematics

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

Hausdorff Center for Mathematics

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

Hausdorff Center for Mathematics

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

ICTP Mathematics

School on Commutative Algebra and Algebraic Geometry in Prime Characteristics

Explore advanced commutative algebra and algebraic geometry in prime characteristics, covering vector bundles, tight closure, F-singularities, and BCM algebras through four specialized lecture series.

• YouTube
• 21 hours 39 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Frontiers in Geometry and Topology Summer School

Explore advanced topics in geometry and topology including Heegaard Floer homology, Dirac operators, pseudoholomorphic curves, and Seiberg-Witten equations through expert lectures.

• YouTube
• 15 hours 34 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Standard and Less Standard Asymptotic Methods

Master advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in sequences, from Euler-Maclaurin formulas to cutting-edge methods with practical examples.

• YouTube
• 18 hours 38 minutes
• Self-Paced
• Free Video