Jürg Fröhlich
Jürg Martin Fröhlich (born 4 July 1946 in Schaffhausen) is a Swiss mathematician and theoretical physicist.
In 1965 Fröhlich began to study mathematics and physics at Eidgenössischen Technischen Hochschule Zürich. In 1969 he attained under Klaus Hepp and Robert Schrader the Diplom (“Dressing Transformations in Quantum Field Theory”), and 1972 he earned a PhD from the same institution under Klaus Hepp. After postdoctoral visits to the University of Geneva and Harvard University (with Arthur Jaffe), he took an assistant professorship in 1974 in the mathematics department of Princeton University. From 1978 until 1982 he was a professor at Institut des Hautes Études Scientifiques in BuressurYvette in Paris, and since 1982 he has been a professor for theoretical physics at ETH, where he founded the Center for Theoretical Studies.
In 1978, Fröhlich gave an invited address to the International Congress of Mathematicians in Helsinki (“On the mathematics of phase transitions”) and in 1994 at the plenary talk of the ICM in Zurich (“The FQHE, Chern–Simons Theory and Integral Lattices”).^{[1]} He also coauthored a book^{[2]} on quantum triviality.
Fröhlich works on quantum field theory (including axiomatic quantum field theory, conformal field theory, and topological quantum field theory), on the precise mathematical treatment of models of statistical mechanics, on theories of phase transition, on the fractional quantum Hall effect, and on noncommutative geometry.
Fröhlich has been married since 1972 and has two daughters.
Awards and honors
In 1991 he received with Thomas Spencer the Dannie Heineman prize, in 1997 he received the Marcel Benoist Prize, in 2001 he won the Max Planck Medal of the Deutschen Physikalischen Gesellschaft, and in 2009 he was awarded the Henri Poincaré Prize. He is a member of the Academia Europaea and the BerlinBrandenburg Academy of Sciences and Humanities. In 2012 he became a fellow of the American Mathematical Society.^{[3]}
Selected works
 J.Fröhlich “The Pure phases (harmonic functions) of generalized processes or: mathematical physics of phase transitions and symmetry breaking”, Bulletin of the AMS, 1978, S.165193
 Fröhlich, Spencer “Some recent rigorous results in the theory of phase transitions and critical phenomena”, Seminar Bourbaki 586, 1982
 Driessler, Fröhlich “The reconstruction of local observable algebras from the euclidean Green's functions of relativistic quantum field theory”, Annales de l'Institut Henri Poincaré 1977, S.221236
 Eckmann, Epstein, Fröhlich “Asymptotic perturbation expansion for the Smatrix and the definition of time ordered functions in relativistic quantum field models”, Annales de l'Institut Henri Poincaré 1976, S.134
 Fröhlich, Studer, Thiran “Quantum theory of large systems of non relativistic matter”, Les Houches Lectures 1994, 145 Seiten
 Fröhlich, Chen, Seifert “Renormalization Group Methods: LandauFermi liquid and BCS Superconductor”, Les Houches 1994, 50 Seiten
 Fröhlich, Grandjean, Recknagel „Supersymmetric quantum theory, non commutative geometry and gravitation, Les Houches Lectures 1995
 Fröhlich, Simon, Spencer „Infrared bounds, phase transitions and continuous symmetry breaking”, Communications in mathematical physics, Bd.50, 1976, S.7995
References
 ^ List of Fröhlich's publications
 ^ R. Fernandez, J. Froehlich, A. D. Sokal, "Random Walks, Critical Phenomena, and Triviality in Quantum Field Theory". Springer (April 1992) ISBN 0387543589
 ^ List of Fellows of the American Mathematical Society, retrieved 20121229.
External links
 Website at the ETH
 Documents on talks by Arthur Jaffe "Constructive Jürg" 2007
