Mathematics Courses and Certifications

ICTP Mathematics

Extrinsic Curvature Flows - Analysis and Geometry at the Interface

Explore advanced mathematical techniques in extrinsic curvature flows, covering mean curvature flow, singularities, Brakke flow theory, and applications to geometry and physics.

• YouTube
• 1 day 18 hours 51 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Advanced School and Workshop on Geometry of Discrete Actions

Explore discrete group actions in geometry through hyperbolic spaces, complex dynamics, Teichmüller theory, and holomorphic dynamics with leading mathematicians.

• YouTube
• 1 day 16 hours 38 minutes
• Self-Paced
• Free Video

ICTP Mathematics

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

ICTP Mathematics

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

ICTP Mathematics

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

ICTP Mathematics

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

ICTP Mathematics

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

ICTP Mathematics

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

ICTP Mathematics

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

ICTP Mathematics

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

ICTP Mathematics

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

ChibiAkumas

Learn RISC-V Assembly Programming

Discover RISC-V assembly programming from absolute beginner to advanced concepts including stack operations, conditions, bit manipulation, and register handling.

• YouTube
• 1 hour 27 minutes
• Self-Paced
• Free Video

Complexity Explorer

Computation in Complex Systems

Explore computational complexity theory through algorithms, P vs NP problems, phase transitions, and universal computation models like Turing machines and cellular automata.

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

Complexity Explorer

Vector and Matrix Algebra Tutorial

Master fundamental linear algebra concepts including vectors, matrices, determinants, eigenvalues, and their applications in geometric transformations and Markov chains.

• YouTube
• 4 hours 25 minutes
• Self-Paced
• Free Video

Michel van Biezen

Geometry - Circles

Master circle geometry through comprehensive lessons on radius, diameter, circumference, arc length, inscribed angles, tangent lines, and chord properties with practical examples.

• YouTube
• 2 hours 44 minutes
• Self-Paced
• Free Video