Martin Zirnbauer

Martin R. Zirnbauer ( born April 25, 1958 in Moosburg ) is Professor of Theoretical Physics at the University of Cologne, which mainly deals with nuclear physics and solid state physics.

Life

Zirnbauer attended high school in Bad Tolz. He was a scholar of the Foundation of the German People and the Bavarian Gifted and studied from 1976 at the Technical University of Munich with the undergraduate degree in 1978 and at Oxford University ( Balliol College), where in 1980 he his Master's degree acquired in theoretical physics and in 1982 at the was a nuclear physicist David M. Brink doctorate ( Microscopic approach to the interacting boson model). From 1982 he worked at the Max Planck Institute for Nuclear Physics in Heidelberg with Hans - Arwed Weidenmüller and 1984-1987 at Caltech. Since 1987 he was a professor at the University of Cologne from 1996 with full professorship.

Work

He focused in particular on nuclear physics and solid state physics, which are often in the field of mesoscopic systems are on the borderline of classical and quantum mechanical behavior. 2003 to 2006 he was a founding spokesman of the transregional collaborative research center Symmetries and Universality in Mesoscopic Systems. In particular, he examines the interaction of chaotic (classical) behavior and quantum mechanics. Among other things, the method of random matrices is used there, and Zirnbauer introduced new supersymmetric methods in the theory. Among other things, he led in 1996 Riemannian Symmetric Super spaces in the theory of disordered systems one (ie supersymmetric generalizations of Riemannian symmetric spaces ) and examined non-linear sigma models on this. They are related to the random matrices with which disordered solids (metals, superconductors ) can be described. These include: Altland - Zirnbauer symmetry classes by Alexander Altland and named him .. He studied with Margherita Disertori and Thomas C. Spencer nonlinear sigma models for disordered electron systems in three dimensions with the aim to prove the existence of a metallic state. With Heinzner P. and A. Huckleberry, he classified the random matrices disordered fermion systems by symmetry classes. In 2011, he showed how the symmetries of Multifraktalitäts exponent of the wave functions follow in the Anderson localization from symmetry considerations to the underlying non-linear sigma models.

He followed with his group in Cologne, other mathematical methods for the description of disordered mesoscopic systems, such as supersymmetry method of Constantinople Efetov and their relationship with the Free Probability Theory by Dan Voiculescu or hyperbolic Hubbard - Stratonovich transformation in Wegintegralen or Superbosonisierung.

It also addresses applications in number theory ( zeros distribution of the Riemann zeta function) in part with J. Brian Conrey (L- Function Ratio Conjecture).

At Caltech, he dealt with Petr Vogel for nuclear structure calculations in the context of experiments on double beta decay.

With Weidenmüller and others, he turned in the 1980s to the theory of random matrices and supersymmetry on disordered systems in nuclear physics.

Awards, memberships and honors

In 2009 he received the prestigious Leibniz Prize of the DFG, which makes him for the next seven years, € 2.5 million for its further research. For 2012 him the Max Planck medal was awarded.

He is a Fellow of St. John 's College, Cambridge, and he's since 2007 a ​​member of the Leopoldina.

Since 2004 he is co-editor of Nuclear Physics B. Since 2004 he is the Scientific Advisory Board of the Max Planck Institute for Mathematics in Bonn, and he is since 2010 the Scientific Advisory Board of the Mathematical Research Institute Oberwolfach.

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