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White Paper: Computational Microscopy

Posted on 1/18/23 in Research Articles

This white paper is an outcome of IPAM’s fall 2022 long program, Computational Microscopy. This whitepaper summarizes the activities and outcomes of the long program on “Computational Microscopy” at the Institute of Pure and Applied Mathematics (IPAM) from September 12 to December 16, 2022. For […]

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White Paper: Advancing Quantum Mechanics with Mathematics and Statistics

Posted on 8/28/22 in Research Articles

This white paper is an outcome of IPAM’s spring 2022 long program, Advancing Quantum Mechanics with Mathematics and Statistics. The white paper summarizes the activities and outcomes of the Long Program “Advancing Quantum Mechanics with Mathematics and Statistics” which was held at the Institute of […]

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Mathematics and Physics at the Moiré Scale

Posted on 4/27/22 in Research Articles

The unique electronic, optical, and mechanical properties of 2D materials have recently sparked an extraordinary level of experimental, theoretical, and computational activity in the materials science and physics communities. Interest in the mathematics community has recently emerged to develop rigorous foundations, improved models, and computational […]

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A Deep-learning Solution for the Schrödinger Equation

Posted on 2/9/21 in Research Articles

Solving the electronic Schrödinger equation is at the heart of computing and understanding in detail the physical and chemical properties of molecules and materials. They are of paramount importance for developing new drug molecules, biofuels or nanomaterials. Unfortunately the Schrödinger equation can only be solved […]

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