Electrochemistry bridges chemistry, materials science, biomolecular science, and mathematics to explain how electrical and chemical processes interact at the atomic scale. It underpins critical technologies—including batteries, fuel cells, electrolyzers, metal separation, and green-chemical synthesis—and provides a scientific foundation for sustainable technologies addressing renewable-energy integration, carbon […]

This document summarizes the activities and outcomes of the Long Program “Non-commutative Optimal Transport,” which was held at the Institute of Pure and Applied Mathematics (IPAM) from March 10 to June 13, 2025. It also briefly explores some of the current open questions and future […]

The quest to understand intelligence is one of the great scientific endeavors, on par with quests to understand the origins of life or the foundations of the physical world. Several scientific communities have made significant progress on this quest. Relevant fields like animal cognition, cognitive […]

This document summarizes the activities and outcomes of the Long Program “Geometry, Statistical Mechanics, and Integrability,” held at the Institute of Pure and Applied Mathematics (IPAM) from March 11 to June 14, 2024. We also briefly explore current open questions and future directions in the […]