Elliott Lieb is one of the foremost mathematical physicists of his generation, and a significant contributor to our understanding of the stability of matter. From the study of rapid electrical interactions in atoms and molecules to the gradual collapse of stars, his work in both classical and quantum mechanics has left a lasting influence.
Amongst Elliott’s outstanding achievements must be counted his work on mathematical models for crystal lattices with hydrogen bonds — often known as ice-type models for their use in determining various properties of frozen water. His contributions have also been felt in the field of solid state physics, in particular the transitions between conducting and insulating systems.