ICTP Mathematics Courses

School and Conference on Dynamical Systems

Explore advanced dynamical systems theory through expert lectures on chaotic dynamics, conservative systems, ergodic theory, and geometric aspects from leading mathematicians.

• YouTube
• 2 days 9 hours 28 minutes
• Self-Paced
• Free Video

School on Algebraic, Geometric and Probabilistic Aspects of Dynamical Systems and Control Theory

Explore algebraic, geometric and probabilistic aspects of dynamical systems through expert minicourses covering counting techniques, group actions, symbolic dynamics, and Brownian motion.

• YouTube
• 1 day 6 hours 1 minute
• Self-Paced
• Free Video

Moduli Spaces, Mirror Symmetry, and Enumerative Geometry

Explore advanced algebraic geometry through moduli spaces, mirror symmetry, and enumerative geometry with leading experts from top institutions worldwide.

• YouTube
• 1 day 9 hours 46 minutes
• Self-Paced
• Free Video

Advanced School on Geometric Group Theory and Low-Dimensional Topology - Recent Connections and Advances

Explore cutting-edge connections between geometric group theory and low-dimensional topology through advanced lectures on virtually special groups, hyperbolic manifolds, and Teichmuller theory.

• YouTube
• 22 hours 54 minutes
• Self-Paced
• Free Video

Algebraic Geometry

Master algebraic geometry fundamentals through comprehensive lectures covering varieties, schemes, and geometric structures in this ICTP diploma program.

• YouTube
• 1 day 6 hours 23 minutes
• Self-Paced
• Free Video

Partial Differential Equations

Master partial differential equations through 30 comprehensive lectures by Giovanni Bellettini, covering fundamental theory and advanced techniques in mathematical analysis.

• YouTube
• 1 day 20 hours 55 minutes
• Self-Paced
• Free Video

Topology

Explore fundamental concepts in topology through comprehensive lectures covering topological spaces, continuity, compactness, and connectedness in this ICTP diploma series.

• YouTube
• 1 day 8 hours 2 minutes
• Self-Paced
• Free Video

Real Analysis

Master rigorous mathematical analysis through 20 comprehensive lectures covering limits, continuity, differentiation, and integration theory.

• YouTube
• 1 day 4 hours 56 minutes
• Self-Paced
• Free Video

Dynamical Systems

Explore mathematical systems that evolve over time through 20 comprehensive lectures covering fundamental theory, applications, and advanced concepts in dynamical systems.

• YouTube
• 1 day 4 hours 18 minutes
• Self-Paced
• Free Video

Ergodic Theory

Dive into the mathematical foundations of dynamical systems through comprehensive ergodic theory principles and applications in this advanced diploma program.

• YouTube
• 13 hours 20 minutes
• Self-Paced
• Free Video

Differential Geometry

Master differential geometry through comprehensive lectures covering manifolds, curvature, and geometric structures in this ICTP diploma program by Claudio Arezzo.

• YouTube
• 1 day 2 hours 13 minutes
• Self-Paced
• Free Video

Complex Analysis

Master complex analysis fundamentals through comprehensive lectures covering essential theorems, functions, and applications in this ICTP diploma program.

• YouTube
• 1 day 4 hours 21 minutes
• Self-Paced
• Free Video

Algebraic Topology

Master algebraic topology fundamentals through comprehensive lectures covering topological spaces, homotopy theory, and homological methods in this ICTP diploma program.

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

Abstract Algebra

Master fundamental algebraic structures including groups, rings, and fields through comprehensive lectures by Lothar Göttsche at ICTP Mathematics.

• YouTube
• 1 day 6 hours 15 minutes
• Self-Paced
• Free Video

The Calabi Problem

Explore the Calabi problem connecting differential and algebraic geometry, focusing on Kähler-Einstein metrics and recent advances through birational geometry connections.

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