Research Methods Courses

Institute for Pure & Applied Mathematics (IPAM)

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
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

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
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Localization Methods - Perspectives on Initialization and Optimization - IPAM at UCLA

Explore Wannier localization in quantum mechanics, its mathematical formulation, challenges, and new approaches for efficient orbital localization in condensed matter systems.

• YouTube
• 53 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

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
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

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
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

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
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

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
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

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
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

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
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Low Rank Tensor Methods in High Dimensional Data Analysis

Explore advanced tensor methods for analyzing high-dimensional data, focusing on recent developments, challenges, and applications in various scientific fields.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

IMSA

Frontiers in Mathematics Lecture Series - Research Talk

Explore Lie theory, groupoids, and algebroids in this advanced mathematics seminar. Discover local integration techniques and their implications for non-integrable Lie algebroids.

• YouTube
• 51 minutes
• On-Demand
• Free Video

IMSA

Research Seminar - Arc-Connectedness of the Space of 1-Dimensional Commuting Diffeomorphisms

Explore arc-connectedness in 1D commuting diffeomorphisms with Andrés Navas. Gain insights into group actions, community spaces, and rotational concepts in this advanced mathematics seminar.

• YouTube
• 50 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Aaron Sidford- Introduction to Interior Point Methods for Discrete Optimization, Lecture III

Explore interior point methods for discrete optimization, covering theory, advancements, and applications in maximum flow, bipartite matching, and linear programming.

• YouTube
• 1 hour 14 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Aaron Sidford: Introduction to Interior Point Methods for Discrete Optimization, Lecture II

Explore interior point methods for discrete optimization, covering theory, advances, and applications in flow, matching, and linear programming problems.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Marina Iliopoulou- Three Polynomial Methods for Point Counting, Lecture II

Explore three powerful polynomial methods for point counting: Dvir's Kakeya problem solution, Guth-Katz's polynomial partitioning, and the slice rank method for arithmetic progressions.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video