Elliott H. Lieb
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Elliott H. Lieb  

Born 

July 31, 1932
Nationality  American 
Alma mater 
MIT University of Birmingham 
Known for 
ArakiLiebThirring inequality Temperley–Lieb algebra Lieb's square ice constant Lieb–Liniger model Strong Subadditivity of Quantum Entropy Lieb–Thirring inequality Brascamp–Lieb inequality Lieb–Oxford inequality AKLT model LiebRobinson bounds LiebYngvason Entropy principle Choquard equation Wehrl entropy conjecture 1D Hubbard model 
Awards 
Heineman Prize for Mathematical Physics (1978) Max Planck medal Birkhoff Prize (1988) Boltzmann medal (1998) Rolf Schock Prizes in Mathematics (2001) Levi L. Conant Prize (2002) Henri Poincaré Prize (2003) 
Scientific career  
Fields  Mathematics, Physics 
Institutions  Princeton University 
Doctoral advisor 
Samuel Frederick Edwards Gerald Edward Brown 
Elliott Hershel Lieb^{[1]} (born July 31, 1932) is an American mathematical physicist and professor of mathematics and physics at Princeton University who specializes in statistical mechanics, condensed matter theory, and functional analysis.
In particular, his scientific works pertain to: the quantum and classical manybody problem, the stability of matter, atomic structure, the theory of magnetism, and the Hubbard model.
He is a prolific author in mathematics and physics with over 300 publications. He received his B.S. in physics from MIT (1953) and his Ph.D. in mathematical physics from the University of Birmingham in England (1956). Lieb was a (1956–1957) Fulbright Fellow at Kyoto University, Japan and for some time worked as the Staff Theoretical Physicist for IBM.
He has been a professor at Princeton since 1975, following a leave from his professorship at MIT. Lieb has been awarded several prizes in mathematics and physics, including the 1978 Heineman Prize for Mathematical Physics of the American Physical Society and the American Institute of Physics (1978), the Max Planck Medal of the German Physical Society (1992), the Boltzmann medal of the International Union of Pure and Applied Physics (1998), the Schock Prize (2001), and the Henri Poincaré Prize of the International Association of Mathematical Physics (2003). He is a member of the U.S. National Academy of Sciences and has twice served (1982–1984 and 1997–1999) as the President of the International Association of Mathematical Physics. Lieb was awarded the Austrian Decoration for Science and Art in 2002.^{[2]} In 2012 he became a fellow of the American Mathematical Society^{[3]} and in 2013 a Foreign Member of the Royal Society.^{[4]}
He is married to fellow Princeton professor Christiane Fellbaum.
Publication list (partial)
 Lieb, Elliott H.; Loss, Michael. Analysis. Graduate Studies in Mathematics, 14. American Mathematical Society, Providence, RI, 1997. xviii+278 pp. ISBN 0821806327
 Lieb, Elliott H. The Stability of Matter: From Atoms to Stars. Selecta of Elliott H. Lieb. Edited by W. Thirring, with a preface by F. Dyson. SpringerVerlag, Berlin, 2005. xv+932 pp. ISBN 354022212X
 Lieb, Elliott H. Inequalities. Selecta of Elliott H. Lieb. Edited, with a preface and commentaries, by M. Loss and M. B. Ruskai. SpringerVerlag, Berlin, 2002. xi+711 pp. ISBN 3540430210
 Lieb, Elliott H. Statistical mechanics. Selecta of Elliott H. Lieb. Edited, with a preface and commentaries, by B. Nachtergaele, J. P. Solovej and J. Yngvason. SpringerVerlag, Berlin, 2004. x+505 pp. ISBN 3540222979
 Lieb, Elliott H. Condensed matter physics and exactly soluble models. Selecta of Elliott H. Lieb. Edited by B. Nachtergaele, J. P. Solovej and J. Yngvason. SpringerVerlag, Berlin, 2004. x+675 pp. ISBN 3540222987
 Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob. The mathematics of the Bose gas and its condensation. Oberwolfach Seminars, 34. Birkhäuser Verlag, Basel, 2005. viii+203 pp. ISBN 9783764373368; 3764373369
See also
 Adiabatic accessibility
 AKLT model
 Brascamp–Lieb inequality
 Entropy
 Lieb conjecture
 Lieb–Liniger Model
 Lieb–Oxford inequality
 LiebRobinson bounds
 Lieb–Thirring inequality
 Lieb's square ice constant
 Lieb's theorem
 Temperley–Lieb algebra
 Von Neumann entropy
References
External links
 Faculty page at Princeton.
 1932 births
 Living people
 20thcentury American mathematicians
 21stcentury American mathematicians
 Members of the United States National Academy of Sciences
 Alumni of the University of Birmingham
 American physicists
 Massachusetts Institute of Technology alumni
 Massachusetts Institute of Technology faculty
 Princeton University faculty
 Recipients of the Austrian Decoration for Science and Art
 Fellows of the American Mathematical Society
 Rolf Schock Prize laureates
 Foreign Members of the Royal Society
 Guggenheim Fellows