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White Paper: “Multi-Fidelity Methods for Fusion Energy”
Fusion energy represents one of the most complex scientific and engineering challenges, characterized by multi-scale, multi-physics problems spanning wide ranges of physical and temporal scales. First-principles, high-fidelity simulations require the world’s largest supercomputers running for days or weeks to simulate a single plasma realization, severely […]
White Paper: “Bridging the Gap-Transitioning from Deterministic to Stochastic Interaction Modeling in Electrochemistry”
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 […]
White Paper: “Non-commutative Optimal Transport”
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 […]
White Paper: “Mathematics of Intelligences 2024”
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 […]