Institute for Pure & Applied Mathematics (IPAM) Courses

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

Structure-Preserving Machine Learning and Data-Driven Structure Discovery

Explore how to embed physical structures into machine learning models and discover conservation laws from data for improved scientific computing performance.

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

System Identification via Invariant Measures

Discover system identification through invariant measures when trajectory data is sparse, featuring PDE-based approximation methods and optimal transportation techniques for dynamical systems.

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

Regularized Wasserstein Proximal Algorithms for Nonsmooth Sampling Problems

Explore regularized Wasserstein proximal algorithms for tackling nonsmooth sampling problems in high-dimensional spaces with convergence guarantees.

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

HJ-Sampler - A Bayesian Sampler for Inverse Problems of Stochastic Processes by Leveraging Hamilton-Jacobi PDEs

Discover a novel Bayesian sampling algorithm for stochastic process inverse problems using Hamilton-Jacobi PDEs and score-based generative models with practical numerical examples.

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

Hamilton-Jacobi Equations, Mean-Field Games, and Optimal Control for Robust ML

Explore Hamilton-Jacobi equations and mean-field games as a unifying framework for robust machine learning, covering generative models, uncertainty quantification, and Transformer architectures.

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

Bridging Non-equilibrium Simulation and Probabilistic Machine Learning

Explore how statistical mechanics and machine learning intersect to advance non-equilibrium simulation, free energy estimation, and diffusion model control techniques.

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

Learning and Inference in Mean-Field Games

Explore Nash equilibrium in Mean-Field Games through learning algorithms and inverse problem solving, with applications in sampling, optimal transport, and economics.

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