Institute for Pure & Applied Mathematics (IPAM) Courses

Understanding Surface Chemistry and Reactivity of Actinide Oxides

Discover how radiation-induced defects in actinide oxides affect surface chemistry and nuclear fuel corrosion through first-principles simulations and electron localization analysis.

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

Bias In, Physics Out - Ab-Initio Insights into Electrified Interfaces

Explore ab-initio simulations of electrified interfaces, covering electrode potential embedding, double-layer physics, and machine-learning potentials for electrochemical modeling.

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

Fluctuations at Electrochemical Interfaces and Their Impact on Reactions

Explore electrochemical interface fluctuations and their reaction impacts through ab initio molecular dynamics, featuring Pt and Mg surfaces with potential control methods.

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

Electric Double Layer (EDL) in Multicomponent Electrolytes on Electrochemical Reactions

Explore how electric double layers in complex electrolytes affect electrochemical reactions using molecular dynamics and quantum calculations for battery and synthesis applications.

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

Viscous Fingering in Electro-Osmotic Flows

Explore how electric fields influence viscous fingering patterns in Hele-Shaw cells through mathematical modeling and simulations of electro-osmotic flows.

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

MISPR - Open-Source Framework for Electrolyte and Electrode-Electrolyte Interfaces

Explore MISPR, an open-source computational framework integrating DFT, molecular dynamics, and machine learning for high-throughput electrolyte and electrode-electrolyte interface modeling.

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

Electron Transfer Process at the Electrode/Electrolyte Solution Interface - A Stochastic Model and Monte Carlo Implementation

Explore stochastic modeling and Monte Carlo simulation of electron transfer processes at electrode/electrolyte interfaces in electrochemical systems.

• YouTube
• 48 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

Generative Models for Materials - Stochastic Interpolants to Sound Benchmarks

Explore stochastic interpolants for materials discovery using the Open Materials Generation framework to predict crystal structures and generate novel stable materials.

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

Quantum Wasserstein Distance on the Quantum Permutation Group

Explore quantum metric space structure on quantum compact groups, focusing on the Hamming metric analog on quantum permutation group S+n and the associated quantum 1-Wasserstein distance on tracial state space.

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

Barrier Relaxations of the Classical and Quantum Optimal Transport Problems

Delve into barrier relaxations of classical and quantum optimal transport problems, exploring entropic relaxations, Sinkhorn algorithms, and interior point methods for multi-partite transport challenges.

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

Convergence, Geometry, and Selection Principles in Entropic Optimal Transport

Delve into the convergence behavior of entropically regularized optimal transport, exploring geometric principles, selection mechanisms, and quantification methods for understanding its vanishing regularization limits.

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

Some Novel Kernel-Based Divergences Between Probability Distributions

Explore novel kernel-based divergences between probability distributions, focusing on the Kullback-Leibler divergence with kernel covariance operators (KKL) and its regularized variant for distributions with disjoint supports.

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

Stability Bounds for Smooth Optimal Transport Maps and Their Statistical Implications

Explore stability bounds for optimal transport maps between distributions, their statistical implications, and applications in estimating OT maps from random samples. Based on joint research with Manole, Niles-Weed, and Wasserman.

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

Near-Linear Runtime for a Classical Matrix Preconditioning Algorithm

Dive into the theoretical advancements of Osborne's matrix balancing algorithm, exploring its near-linear runtime guarantees and connections to optimal transport problems in modern computational applications.

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