What’s New

White Paper: Advancing Quantum Mechanics with Mathematics and Statistics

Posted on 8/18/22 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 […]

read full article

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 […]

read full article

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 […]

read full article

New Machine Learning Approach for Mean-Field Games

Posted on 8/3/20 in Research Articles

Mean field games are critical classes of multi-agent models for efficient analysis of massive populations of interacting agents with numerous applications ranging from economics to crowd motion. Their numerical solutions typically suffer from the curse of dimensionality. Numerical methods for mean field games were usually […]

read full article