Hans Werner Ballmann (known as Werner Ballmann; born 11 April 1951) is a German mathematician. His area of research is differential geometry with focus on

geodesic flow In geometry, a geodesic () is a curve representing in some sense the shortest path ( arc) between two points in a surface, or more generally in a Riemannian manifold. The term also has meaning in any differentiable manifold with a connection. ...

s, spaces of

negative curvature In mathematics, curvature is any of several strongly related concepts in geometry. Intuitively, the curvature is the amount by which a curve deviates from being a straight line, or a surface deviates from being a plane. For curves, the canoni ...

as well as

spectral theory In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces. It is a result ...

Dirac operator In mathematics and quantum mechanics, a Dirac operator is a differential operator that is a formal square root, or half-iterate, of a second-order operator such as a Laplacian. The original case which concerned Paul Dirac was to factorise forma ...

s Ballmann earned his doctorate from the

University of Bonn The Rhenish Friedrich Wilhelm University of Bonn (german: Rheinische Friedrich-Wilhelms-Universität Bonn) is a public research university located in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the ( en, Rhine ...

in 1979, under the supervision of Wilhelm Klingenberg. He currently is a professor at the University of Bonn, and the managing director of the Max Planck Institute for Mathematics in Bonn, Germany, since 2007. He has advised 16 doctoral students at Bonn, including

Christian Bär Christian Bär (born 17 September 1962 in Kaiserslautern) is a German mathematician, whose research concerns differential geometry and mathematical physics. Bär enrolled on Ph.D. studies at the University of Bonn as a student of Hans Werner ...

and Anna Wienhard. He is a member of the

German Academy of Sciences Leopoldina The German National Academy of Sciences Leopoldina (german: Deutsche Akademie der Naturforscher Leopoldina – Nationale Akademie der Wissenschaften), short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founde ...

since 2007, and a member of the scientific committee of the Mathematical Research Institute of Oberwolfach since 2004.

Selected works

''Lectures on spaces of non positive curvatures''
(PDF; 818 kB), DMV Seminar, Birkhäuser 1995 *''Spaces of non positive curvature'', Jahresbericht DMV, vol. 103, 2001, pp. 52–65 *''Der Satz von Lusternik und Schnirelmann'', Bonner Mathematische Schriften, vol. 102, 1978, pp. 1–25 * * * with M. Brin: ''Orbihedra of nonpositive curvature.''

Publications Mathématiques de l'IHÉS ''Publications Mathématiques de l'IHÉS'' is a peer-reviewed mathematical journal. It is published by Springer Science+Business Media on behalf of the Institut des Hautes Études Scientifiques, with the help of the Centre National de la Recherch ...

No. 82 (1995), 169–209 (1996). *

References

External links

Homepage at MPIM

Author profile
in the database

zbMATH zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastruct ...

Living people 20th-century German mathematicians 21st-century German mathematicians 1951 births University of Bonn alumni Academic staff of the University of Bonn Academic staff of ETH Zurich Max Planck Institute directors {{Germany-mathematician-stub