1. Heinz Hopf was a German mathematician who worked on the fields of dynamical systems, topology and geometry.
14 Facts About Heinz Hopf
1. 2.
Heinz Hopf's father was born Jewish and converted to Protestantism a year after Heinz was born; his mother was from a Protestant family.
3.
Heinz Hopf attended Karl Mittelhaus higher boys' school from 1901 to 1904, and then entered the Konig-Wilhelm-Gymnasium in Breslau.
4.
Heinz Hopf was wounded twice and received the iron cross in 1918.
5.
Heinz Hopf studied under Ludwig Bieberbach and received his doctorate in 1925.
6.
Heinz Hopf studied the indices of zeros of vector fields on hypersurfaces, and connected their sum to curvature.
7.
Heinz Hopf spent the year after his doctorate at the University of Gottingen, where David Hilbert, Richard Courant, Carl Runge, and Emmy Noether were working.
8.
In 1926 Heinz Hopf moved back to Berlin, where he gave a course in combinatorial topology.
9.
In 1931 Heinz Hopf took Hermann Weyl's position at ETH, in Zurich.
10.
Heinz Hopf received another invitation to Princeton in 1940, but he declined it.
11.
Heinz Hopf served as president of the International Mathematical Union from 1955 to 1958.
12.
Heinz Hopf received honorary doctorates from Princeton University, the University of Freiburg, the University of Manchester, the University of Paris, the Free University of Brussels, and the University of Lausanne.
13.
Heinz Hopf was elected to the United States National Academy of Sciences in 1957, the American Academy of Arts and Sciences in 1961, and the American Philosophical Society in 1963.
14.
Heinz Hopf was an Invited Speaker at the International Congress of Mathematicians in Zurich in 1932 and a Plenary Speaker at the ICM in Cambridge, Massachusetts in 1950.