Institute for Pure & Applied Mathematics (IPAM) Courses

Discrete Honeycombs, Rational Edges and Edge States - IPAM at UCLA

Explore tight binding models, graphene edges, and edge states in quantum mechanics. Discover classifications, proofs, and formulas for zero energy states and dispersive edge curves.

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

Localized-Wave-Function Methods in Quantum Chemistry and Their Extension to Quantum Computers

Explore localized wave-function methods in quantum chemistry, their applications to large systems, and potential extensions to quantum computing algorithms for improved efficiency and accuracy.

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

Tensor Networks -QC-DMRG- in a Complete Active Space Coupled Cluster Method

Explore tensor networks in quantum mechanics, focusing on their application in coupled cluster methods for modeling strongly correlated systems and computing dynamical correlations.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

Quantum Impurity and Quantum Embedding Theory - IPAM at UCLA

Explore quantum impurity and embedding theories, from non-interacting systems to advanced concepts like DMET and DMFT, enhancing understanding of quantum many-body problems.

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

Quantum Embedding with Lower Bounds - IPAM at UCLA

Explore quantum embedding theories and optimization approaches for solving relaxations of many-body ground state problems, focusing on quantum marginals and impurity problems for fermions.

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

Post-DFT Green's Function Embedding - IPAM at UCLA

Explore post-DFT Green's function embedding for correlated solids, focusing on self-energy embedding theory (SEET) and its applications in molecular systems and periodic solids.

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

Embedding Theories for Quantum Simulations on Hybrid Classical-Quantum Architectures

Explore quantum embedding theory for spin-defects in solids, comparing frameworks and discussing applications on classical and quantum computers for electronic structure calculations of qubits.

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

Multiscale Approaches to Quantum Mechanics - Vacuum, Atoms, Engineering-Scale

Explore multiscale quantum mechanics from vacuum to engineering structures, covering experimental evidence, theoretical models, and future research directions in this comprehensive lecture.

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

Theory of Molecular Interactions - IPAM at UCLA

Explore advanced quantum mechanics concepts, focusing on molecular interactions, perturbation theory, and frequency-dependent properties in this in-depth tutorial by Alexandre Tkatchenko.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• Free Video

Many-Body Perturbation Theory and Green's Function Methods - IPAM at UCLA

Explore Green's functions and many-body perturbation theory in quantum physics, covering Feynman diagrams, self-energy, and applications like GW method and DMFT. Gain insights into mathematical structures and open problems.

• YouTube
• 1 hour 18 minutes
• Self-Paced
• Free Video

Machine Learning Basics: A Speedrun - IPAM at UCLA

Speedrun through machine learning fundamentals, covering key concepts like inductive bias, regularization, and kernel methods for both linear and nonlinear regression.

• YouTube
• 1 hour 8 minutes
• Self-Paced
• Free Video

A Mathematical Introduction to Quantum Embedding Theory - IPAM at UCLA

Explore quantum embedding methods for strongly-correlated materials, focusing on computational challenges at the single-particle level and recent optimization approaches.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• Free Video

A Physical-Chemical Motivation Behind Quantum Embedding Theories - IPAM at UCLA

Explore quantum embedding theories, their physical motivations, and applications in many-electron problems. Learn about Green's function embedding and other approaches for accurate, controlled approximations.

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

Randomized Methods for Quantum Many-Body Problems - A Mathematical Primer

Explore randomized methods for quantum many-body problems, focusing on Monte Carlo techniques to approximate ground and excited states in large systems. Learn about VMC and FCIQMC algorithms.

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

Many-Body Perturbation Theory and Wavefunction Methods: A Physics Perspective

Explore many-body perturbation theory and wavefunction methods from a physics perspective, covering applications, multiscale modeling, and advanced quantum mechanics concepts.

• YouTube
• 1 hour 7 minutes
• Self-Paced
• Free Video