Institute for Pure & Applied Mathematics (IPAM) Courses

Multi-Modal Imaging with Deep Learning and Modeling 2022

Explore cutting-edge deep learning and mathematical techniques for processing multimodal microscopy data from electron, X-ray, optical, and scanning probe imaging systems.

• YouTube
• 16 hours 17 minutes
• Self-Paced
• Free Video

Large-Scale Certified Numerical Methods in Quantum Mechanics - 2022

Explore advanced numerical methods for large-scale quantum system simulations, covering error analysis, certification techniques, and computational optimization strategies.

• YouTube
• 15 hours 8 minutes
• Self-Paced
• Free Video

Multiscale Approaches in Quantum Mechanics Workshop 2022

Explore multiscale quantum mechanics methods bridging field theory to continuum, featuring embedding theories, Green's functions, and quantum-classical hybrid approaches.

• YouTube
• 20 hours 7 minutes
• Self-Paced
• Free Video

Reconstructing Network Dynamics from Data - Applications to Neuroscience and Beyond

Explore advanced mathematical techniques for reconstructing network dynamics from data, focusing on neuroscience applications and beyond through expert presentations.

• YouTube
• 15 hours 47 minutes
• Self-Paced
• Free Video

Graduate Summer School on Post-Quantum and Quantum Cryptography 2022

Dive into post-quantum and quantum cryptography fundamentals, covering key exchange, information-theoretic protocols, quantum computing basics, and advanced proof techniques.

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

Model Reduction in Quantum Mechanics Workshop 2022

Explore advanced mathematical methods and computational techniques for reducing complexity in quantum mechanical systems through expert lectures on machine learning, density functional theory, and quantum dynamics.

• YouTube
• 18 hours 29 minutes
• Self-Paced
• Free Video

Advancing Quantum Mechanics with Mathematics and Statistics - Tutorials

Dive into advanced quantum mechanics through mathematical and statistical approaches with expert tutorials covering electronic structure, Monte Carlo methods, and machine learning applications.

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

Calculus of Variations in Probability and Geometry

Explore advanced mathematical techniques connecting calculus of variations, probability theory, and geometric inequalities through expert lectures on isoperimetric problems and applications.

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

Quantum Numerical Linear Algebra

Explore cutting-edge quantum algorithms for linear algebra tasks including solving systems, eigenvalue decomposition, and matrix functions on near-term quantum devices.

• YouTube
• 12 hours 41 minutes
• Self-Paced
• Free Video

Mathematical and Numerical Aspects of Gravitation

Explore advanced mathematical and numerical methods in general relativity, from black hole stability to gravitational waves and cosmic censorship conjectures.

• YouTube
• 15 hours 47 minutes
• Self-Paced
• Free Video

Math and Computational Challenges in the Era of Gravitational Wave Astronomy

Explore mathematical and computational methods for analyzing gravitational wave data through numerical relativity, machine learning, and detector characterization techniques.

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

Mathematics of Topological Phases of Matter - Graduate Summer School 2021

Explore advanced mathematical foundations of topological phases, from quantum field theories to fractons and cellular automata in this comprehensive graduate program.

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

AI Similarity Demo

Discover AI similarity techniques through a practical demonstration exploring computational methods for measuring and analyzing data relationships in artificial intelligence applications.

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

An Experimentalist's View of Stochasticity in Electrochemistry

Explore stochastic phenomena in electrochemical systems from an experimental perspective, bridging atomistic to continuum scales in this UCLA research presentation.

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

Bridging Scales Using Physically-Informed Machine Learning

Explore the SPIDER framework for inferring interpretable continuum models through physically-informed machine learning, with applications to fluid turbulence and molecular gas systems.

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