Elliott Hershel Lieb

Research ranges over several areas of mathematical physics, condensed matter physics and mathematical analysis. These include statistical mechanics, the quantum-mechanical many-body problem and functional analysis. Major works include the solution of the 'ice problem' and other six-vertex statistical-mechanical models, the stability of quantum-mechanical matter, the solution of the one-dimensional Hubbard model in condensed-matter physics, the invention of the Temperley-Lieb algebra, and the Brascamp-Lieb inequalities.