Institute for Pure & Applied Mathematics (IPAM) Courses

Auxiliary Field Quantum Monte Carlo - AFQMC with Multi Slater Wavefunctions

Explore advanced quantum Monte Carlo techniques, focusing on AFQMC with multi-Slater wavefunctions and efficient exchange matrix evaluation for large-scale quantum systems.

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

Machine Learning in Equation of State and Transport Modeling at Extreme Conditions

Explore machine learning applications in equation of state and transport modeling for extreme conditions, enhancing accuracy and efficiency in material science and astrophysics research.

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

Stochastic Density Functional Theory - IPAM at UCLA

Explore stochastic density functional theory for efficient ground-state calculations in extended materials, including noise reduction techniques and applications in warm dense matter at elevated temperatures.

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

Molecular Electron Densities via Machine Learning - IPAM at UCLA

Explore machine learning techniques for predicting molecular electron densities and energies, with applications in quantum mechanics and molecular dynamics simulations.

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

Fermionic Neural-Network Quantum States - IPAM at UCLA

Explore fermionic neural-network quantum states, their efficient representations, and applications in quantum mechanics with Giuseppe Carleo's insightful presentation at IPAM's workshop.

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

Auxiliary-Field Methods for Quantum Materials - IPAM at UCLA

Overview of auxiliary-field quantum Monte Carlo methods for simulating quantum materials, discussing recent advances in ab initio calculations, including correlated sampling and structural optimization.

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

Error Bounds for Properties in Planewave Electronic Structure Calculations

Explore error bounds in planewave electronic structure calculations, focusing on ground state density matrix and interatomic forces estimation. Learn efficient approximation methods and see numerical results for materials systems.

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

Uncertainty Quantification of Quantum Chemical Methods - IPAM at UCLA

Explore uncertainty quantification in quantum chemistry, covering error estimation, benchmarking, and machine learning approaches for improved accuracy in computational methods.

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

Contracted Quantum Eigensolver for the Quantum Simulation of Many-Electron Systems

Explore a novel quantum algorithm for many-body systems, comparing it to existing methods and demonstrating its advantages in molecular simulations and quantum computing applications.

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

Math-Chimie: Developing Approaches for Predicting New Superconductors

Explore innovative approaches for predicting superconductors, combining mathematics and chemistry to analyze electron density, localization, and high-pressure materials for groundbreaking discoveries in quantum mechanics.

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

Convergence of the Planewave Approximations for Quantum Incommensurate Systems

Explore quantum incommensurate systems through rigorous analysis of Schrödinger operators' spectrum distribution, focusing on density of states characterization and planewave approximation methods with novel energy cutoffs.

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

Generating Reference Data and Controlling Accuracy in DFT and Hybrid DFT Simulations

Explore advanced techniques in DFT simulations, including all-electron approaches, pseudopotential validation, and hybrid DFT acceleration methods for improved accuracy and efficiency in quantum mechanics calculations.

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

Fast Algorithms for FCI Excited States - IPAM at UCLA

Fast algorithms for electronic structure excited-state calculations in configuration interaction framework, focusing on global convergence, linear convergence rates, and acceleration techniques for improved efficiency.

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

Finite-Size Error and Its Correction in Energy Calculations for Periodic Systems

Explore finite-size errors in periodic systems, focusing on Hartree-Fock and MP2 theories. Learn about convergence rates, Madelung-constant correction, and the staggered mesh method for improved calculations.

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

Large Scale Hybrid DFT Functionals - Fast Algorithms and Finite-Size Effects - IPAM at UCLA

Explore accelerating DFT calculations with hybrid functionals and finite-size effects in Hartree-Fock calculations for periodic systems in this advanced mathematics lecture.

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