Institute for Pure & Applied Mathematics (IPAM) Courses

Methods and Software for Electron-Phonon Physics - IPAM at UCLA

Explore electron-phonon physics with advanced methods and software. Learn about spectral density functions, Green's functions, and polarons in materials, with real-world examples and computational challenges.

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

Large-Coupling Strength Expansion in DFT and Hartree-Fock Adiabatic Connections

Explore large-coupling strength expansions in DFT and Hartree-Fock adiabatic connections, examining their applications in quantum chemistry and electronic structure theory.

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

Systematically Improvable Models from Alchemical Perturbations - IPAM UCLA

Explore systematic improvements in quantum models using alchemical perturbations, connecting chemical spaces and simplifying material design through novel approaches and fundamental constraints.

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

Quantum Embedding Methods for Correlated Excited States of Point Defects

Explore quantum embedding methods for correlated excited states of point defects, focusing on case studies and challenges in computational approaches for defect systems in quantum technologies.

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

The Ground State of the Dirac-Fock Energy for Molecules and Crystals - IPAM at UCLA

Explore ground state definition for Dirac-Fock energy in molecules and crystals, including existence results and computational algorithms. Insights for theoretical and numerical investigations.

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

Many-Electron Effective Hamiltonians from Similarity Renormalization Group

Explore many-electron effective Hamiltonians using similarity renormalization group, focusing on bond-breaking reactions, spin states, and excited states of molecules with near-degenerate electronic structures.

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

Quantum Mechanical Calculations of Electron Interactions in Condensed Matter

Explore precise quantum mechanical calculations for electron interactions in condensed matter, covering theory, challenges, and recent advancements in computational methods.

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

Recent Results in Density Functional Theory - IPAM at UCLA

Explore recent advancements in Density Functional Theory, including the Lieb-Oxford bound and Local Density Approximation, presented by Mathieu Lewin at IPAM's workshop on Model Reduction in Quantum Mechanics.

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

Local Response in Bulk-Gapped Interacting Systems - IPAM at UCLA

Explore quantum Hall effect in thin Hall bars, interacting fermion systems' response to local perturbations, and adiabatic theorems for extended many-body systems with bulk gaps.

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

Maria Esteban - Spectral Results and Open Problems for Dirac-Coulomb Operators With Charge Distributions

Explore spectral results and open problems for Dirac-Coulomb operators with general charge distributions, focusing on self-adjoint extensions, eigenvalue characterizations, and electron stability conditions.

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

Multiscale Inverse Problem, from Schroedinger to Newton to Boltzmann - IPAM at UCLA

Explore multiscale inverse problems across quantum, classical, and statistical physics, connecting Schroedinger, Newton, and Boltzmann equations to reveal universal mathematical principles in diverse scientific domains.

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

The Hartree-Fock Approximation and Its Generalizations - IPAM at UCLA

Explore Hartree-Fock approximation in quantum mechanics, covering accuracy, variational principles, generalizations, and symmetries. Gain insights into advanced theoretical concepts and applications.

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

Multiscale Approaches to Dispersion Modelling - IPAM at UCLA

Explore multiscale approaches to dispersion modelling, focusing on van der Waals physics in materials with one- or two-dimensional interactions and the challenges in mathematical techniques used to model them.

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

Message Passing Neural Networks for Atomistic Systems - Materials - IPAM at UCLA

Explore message passing neural networks for atomistic systems, focusing on thermal transport simulations and diffusion in materials science, with practical examples and convergence tests.

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

Taming the Dynamical Sign Problem in Diagrammatic Algorithms for Open Quantum Systems

Explore diagrammatic algorithms for open quantum systems, focusing on balancing dynamical sign problems and error amplification in numerical integration through partial resummation techniques.

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