Bernhard Leeb

Bernhard Leeb, Oberwolfach 2011

Bernhard Peter Leeb (* 1966 in Frankfurt am Main ) is a German mathematician who deals with differential geometry .

Leeb was national winner at the federal mathematics competition from 1981 to 1984 and received a gold medal and a special prize at the Mathematics Olympiad in 1983 . From 1982 he was in the German National Academic Foundation . From 1984 he studied mathematics first at the University of Frankfurt and from 1986 at the University of Bonn , where he received his diploma in 1991 from Werner Ballmann . He then went to the University of Maryland , where he received his doctorate in 1992 with William Goldman ( Three-Manifolds With (Out) Metrics of Nonpositive Curvature ). As a post-doctoral student he was at MSRI and in 1996 at IHES and from 1993 to 1997 assistant at the University of Bonn. 1997/98 he was Chargé de Recherche of the CNRS in Orsay. In 1998 he became professor at the University of Mainz , in 1999 at the University of Tübingen and in 2003 at the Ludwig Maximilians University in Munich .

Fonts

3-manifolds with (out) metrics of nonpositive curvature, Inventiones Mathematicae, Volume 122, 1995, pp. 277-289.
with Bruce Kleiner : Rigidity of quasi-isometries for symmetric spaces and Euclidean buildings, Inst. Hautes Études Sci. Publ. Math. No. 86, 1997, pp. 115-197.
with Michael Kapovich:: Quasi-isometries preserve the geometric decomposition of Haken manifolds, Inventiones Mathematicae, Volume 128, 1997, pp. 393-416.
with Michael Kapovich: Complex hyperbolic manifolds homotopy equivalent to a Riemann surface, Comm. Anal. Geom., Vol. 9, 2001, pp. 61-95.
with Michel Boileau , Joan Porti: Geometrization of 3-dimensional orbifolds, Annals of Mathematics, Volume 162, 2005, pp. 195–290.
with Bruce Kleiner: Rigidity of invariant convex sets in symmetric spaces, Inventiones Mathematicae, Volume 163, 2006, pp. 657-676,
Geometrization of 3-dimensional manifolds and Ricci flow: On Perelman's proof of the conjectures of Poincaré and Thurston, DMV-Mitteilungen, Volume 14, No. 4, 2006, pp. 213-221.
with Michael Kapovich, John Millson : The generalized triangle inequalities in symmetric spaces and buildings with applications to algebra, Memoirs, American Mathematical Society AMS, 2008