Christian Bear

Christian Bär (born September 17, 1962 ) is a German mathematician who deals with (global) analysis , differential geometry and applications in mathematical physics .

Bear was at the 1991 University of Bonn in Werner Ballmann doctorate ( The spectrum of Dirac operators ). As a post-doctoral student, he was in New York before completing his habilitation in 1993 ( elliptic operators and representation theory of compact groups ). Bär was professor at the Albert-Ludwigs-Universität Freiburg from 1994 , from 1999 to 2003 professor at the University of Hamburg and since 2004 has been professor of geometry at the University of Potsdam .

Among other things, he deals with the spectrum of Dirac operators on manifolds , non-commutative geometry and questions of mathematical physics (such as path integrals on manifolds).

From 2011 to 2012 he was President of the German Mathematicians Association .

Fonts

Elementary differential geometry . de Gruyter 2002, English translation Cambridge University Press 2010
with Klaus Fredenhagen (Ed.): Quantum field theory on curved spacetimes . Springer, Lecturenotes in Physics 786, 2009 (in it with Christian Becker: C * algebras )
with Christoph Stephan: The Yang Mills problem, the mathematical taming of the standard model . Spectrum of Science, May 2009, p. 55
with Nicolas Ginoux, Frank Pfäffle: Wave equations on Lorentzian Manifolds and Quantization . ESI Lectures in Mathematics and Physics 2007, Online
with Joachim Lohkamp, Matthias Schwarz (eds.): Global differential geometry . Springer Verlag 2012 (in it by Bär, Nicolas Ginoux: Classical and quantum fields on Lorentzian manifolds )