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

differential geometry Differential geometry is a Mathematics, mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of Calculus, single variable calculus, vector calculus, lin ...

with focus on

geodesic flow In geometry, a geodesic () is a curve representing in some sense the locally 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 conne ...

s, spaces of negative curvature 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 operator (mathematics), operators in a variety of mathematical ...

Dirac operator In mathematics and in quantum mechanics, a Dirac operator is a first-order differential operator that is a formal square root, or half-iterate, of a second-order differential operator such as a Laplacian. It was introduced in 1847 by William Ham ...

s Ballmann earned his doctorate from the

University of Bonn The University of Bonn, officially the Rhenish Friedrich Wilhelm University of Bonn (), is a public research university in Bonn, North Rhine-Westphalia, Germany. It was founded in its present form as the () on 18 October 1818 by Frederick Willi ...

in 1979, under the supervision of

Wilhelm Klingenberg Wilhelm Paul Albert Klingenberg (28 January 1924 – 14 October 2010) was a German mathematician who worked on differential geometry and in particular on closed geodesics. Life Klingenberg was born in 1924 as the son of a Protestant minister. In ...

. He was a professor at the University of Bonn, and a director of the

Max Planck Institute for Mathematics The Max Planck Institute for Mathematics (, MPIM) is a research institute located in Bonn, Germany. It is named in honor of the German physicist Max Planck and forms part of the Max Planck Society (''Max-Planck-Gesellschaft''), an association o ...

in Bonn, Germany, from 2007 to 2019. 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 Ba ...

and

Anna Wienhard Anna Katharina Wienhard (born 1977)European Research Council Funds ...

. He is a member of the

German Academy of Sciences Leopoldina The German National Academy of Sciences Leopoldina (), in short Leopoldina, is the national academy of Germany, and is located in Halle (Saale). Founded on 1 January 1652, based on academic models in Italy, it was originally named the ''Academi ...

since 2007, and a member of the scientific committee of the

Mathematical Research Institute of Oberwolfach The Oberwolfach Research Institute for Mathematics () is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and ...

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 * * * * *

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 Infrastru ...

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