Random Matrix Theory Courses and Certifications

Institute for Advanced Study

Spacetime and Quantum Information Workshop 2023

Explore cutting-edge research connecting spacetime geometry with quantum information theory through expert presentations on black holes, holography, and gravitational systems.

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

Simons Foundation

Delocalization of Eigenvectors of Random Matrices - A Survey (February 20, 2025)

Explore Terence Tao's comprehensive survey on eigenvector delocalization in random matrices, examining key mathematical principles and recent developments in this complex field.

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

IPhT-TV

Statistical Physics of Glassy Systems - Tools and Applications

Explore statistical physics tools and applications for understanding glassy systems through comprehensive theoretical frameworks and practical methodologies.

• YouTube
• 11 hours 26 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Indo-French Workshop on Classical and Quantum Dynamics in Out of Equilibrium Systems

Explore classical and quantum dynamics in non-equilibrium systems through expert lectures on chaos, turbulence, many-body localization, and emergent phenomena.

• YouTube
• 22 hours 30 minutes
• Self-Paced
• Free Video

International Centre for Theoretical Sciences

Topics in High Dimensional Probability

Explore advanced mathematical concepts in high-dimensional probability through expert lectures on random matrices, geometric approaches, and complex stochastic models.

• YouTube
• 1 day 2 hours 52 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Mixing and Control - Mathematical Control Theory for Stochastically Perturbed Dynamical Systems

Explore advanced mathematical control theory and mixing properties of stochastically perturbed dynamical systems through mini courses and research seminars.

• YouTube
• 21 hours 31 minutes
• Self-Paced
• Free Video

Harvard CMSA

Classical, Quantum, and Probabilistic Integrable Systems - Novel Interactions and Applications

Explore advanced mathematical frameworks connecting classical mechanics, quantum systems, and probability theory through cutting-edge research presentations.

• YouTube
• 1 day 14 hours 58 minutes
• Self-Paced
• Free Video

IAS | PCMI Park City Mathematics Institute

Riemann-Hilbert Problems - Theory and Applications

Dive into Riemann-Hilbert problems theory, inverse scattering, nonlinear steepest-descent methods for integrable systems, random matrices, and orthogonal polynomials applications.

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

Institute for Advanced Study

Towards a Geometric Theory of Deep Learning

Explore the mathematical foundations of deep learning through geometric theory, revealing connections to minimal surfaces, invariant theory, and random matrix theory via deep linear networks.

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

Institute for Advanced Study

Random Matrix Models, 2D Quantum Gravity, and Holography - Part 1 - Clifford Johnson

Explore random matrix models, focusing on the Gaussian Unitary Ensemble and its applications to gravity, holography, and quantum physics. Discover new insights into discrete spectra and non-perturbative information.

• YouTube
• 1 hour 15 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

An Introduction to Determinantal Point Processes - John C Urschel

Explore determinantal point processes: definition, examples, and applications in random matrix theory, combinatorics, and machine learning. Survey key results and open questions.

• YouTube
• 2 hours 10 minutes
• Self-Paced
• Free Video

Institute for Advanced Study

Solving Random Matrix Models with Positivity - Henry Lin

Explore advanced matrix models, focusing on positivity constraints and loop equations. Learn techniques for solving complex mathematical problems in high-energy physics.

• YouTube
• 1 hour 10 minutes
• Self-Paced
• Free Video

International Mathematical Union

Alice Guionnet: Random Matrices, Free Probability and the Enumeration of Maps

Explore connections between random matrices, free probability, and map enumeration in this advanced mathematical lecture by renowned expert Alice Guionnet.

• YouTube
• 1 hour 14 minutes
• Self-Paced
• Free Video

Simons Institute

Finding Low-Rank Matrices - From Matrix Completion to Recent Trends

Explore low-rank matrix recovery, from matrix completion to recent trends, covering theoretical foundations and applications in signal processing and machine learning.

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

International Centre for Theoretical Sciences

Quantum Aspects of Black Holes - Lecture 3

Explore quantum aspects of black holes, including traversable wormholes, quantum teleportation, and the Hayden-Preskill problem. Delve into chaotic systems, random matrices, and gravity solutions for the ramp.

• YouTube
• 1 hour 50 minutes
• Self-Paced
• Free Video