Institute for Pure & Applied Mathematics (IPAM) Courses

Quantum Simulation for Chemistry and Materials Science - Part 1 of 2

Discover quantum simulation methods for advancing chemistry and materials science research through computational approaches and theoretical frameworks.

• YouTube
• 1 hour 9 minutes
• Self-Paced
• Free Video

Quantum Simulation for Quantum Field Theories - Part 2 of 2

Explore advanced quantum simulation techniques for quantum field theories in this comprehensive second-part lecture by Zohreh Davoudi from University of Maryland.

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

Tensor Networks and Applications to Many-Body Systems - Part 1 of 2

Discover tensor network methods for solving complex many-body quantum systems with practical computational techniques and theoretical foundations.

• YouTube
• 1 hour 23 minutes
• Self-Paced
• Free Video

Tensor Networks and Applications to Many-Body Systems - Part 2 of 2

Dive into advanced tensor network methods for quantum many-body systems, exploring computational techniques and practical applications in quantum simulation.

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

Quantum Simulation for Quantum Field Theories - Part 1 of 2

Explore quantum simulation techniques for quantum field theories with expert insights from University of Maryland's Zohreh Davoudi in this comprehensive lecture.

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

Hamiltonian-oriented Quantum Algorithm Design and Implementation - Part 2 of 2

Explore advanced Hamiltonian-oriented quantum algorithm design and implementation techniques for quantum simulation applications.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

Hamiltonian-oriented Quantum Algorithm Design and Implementation - Part 1 of 2

Discover Hamiltonian-oriented quantum algorithm design principles and implementation strategies for quantum simulation applications in this comprehensive academic presentation.

• YouTube
• 1 hour 34 minutes
• Self-Paced
• Free Video

Polymer Models in Critical Environments

Explore polymer models in critical environments through statistical mechanics, examining directed polymers, KPZ universality theory, and fractal structures with novel mathematical approaches.

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

Quasi-Isometric Nonequivalence for Random Subsets in Products of Trees

Explore quasi-isometric rigidity in random Bernoulli percolation on tree products, proving nonequivalence of independent samples in higher-rank settings.

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

Planar Coulomb Gas on a Jordan Arc

Explore advanced mathematical analysis of planar Coulomb gas systems confined to Jordan arcs, featuring partition function asymptotics and Fredholm determinants.

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

W-Volume for Planar Domains with Circular Boundary

Explore W-volume extensions for planar domains with circular boundaries, connecting Epstein maps, renormalized volume bounds for Schottky groups, and geometric interpretations of Loewner energy.

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

The Polynomial Method for Spectral Gaps of Random Hyperbolic Surfaces

Explore the polynomial method for analyzing spectral gaps in random hyperbolic surfaces, connecting geometry to random matrix theory with explicit error rates.

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

Length Spectrum of Random Surfaces and Random Graphs

Explore the length spectrum of random hyperbolic surfaces and their connection to short cycles in random metric maps, revealing surprising distributional similarities in high-genus cases.

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

1 + 1 = 2 and (Time Permitting) 2 + 2 = 4

Explore fundamental mathematical proofs and arithmetic foundations through advanced mathematical reasoning and rigorous demonstration techniques.

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

Double Layer Properties at the Atomic Scale

Explore atomic-scale electrochemical double layer properties through advanced modeling approaches including DFT, molecular dynamics, and machine learning techniques.

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