A memorial volume for Heiner Zieschang (1936-2004)
Edited by Michel Boileau, Martin Scharlemann and Richard Weidmann
This volume is dedicated to Heiner Zieschang, who has been a teacher,
mentor and friend to us and to most of those that have contributed
their works. These words are written just days after a conference in
Toulouse in honour of Heiner Zieschang. Almost three and a half years
after his death many of us and others that Heiner has befriended over
the years have gathered and remembered the person they have lost and
their many memorable encounters with Heiner.
Heiner Zieschang was born on November 12, 1936 in Kiel, Northern
Germany, where he also spent most of his youth. From 1956-1962 he
studied mathematics in Göttingen, interrupting his stay there
to attend the seminar of Emil Artin in Hamburg. In 1961 he obtained a
doctoral degree in Göttingen under the supervision of Kurt
Reidemeister; his thesis Über einfache Kurven auf
Vollbrezeln dealt with simple closed curves on handlebodies. One
of the characteristic aspects of Heiner's work was already apparent at
this early stage, his interest in the interplay between algebra and
topology.
His next step was highly unusual, indeed almost unheard of for a
mathematician from the West: he decided to visit the Soviet
Union. Armed with a grant from the DFG, he visited the Moscow State
University from January 1963 until July 1964. His particular interest
was attending the seminar of Pavel S Alexandrov whom he had met in
Göttingen in 1958. Moscow was at the time clearly one the best
places to be mathematically, and Heiner benefited greatly from the
quality of mathematics that surrounded him. Equally important,
though, was the profound affection he developed there for Russia and
the Russian people, something that he would cherish until the very
end.
After his return from the Soviet Union in 1964 he became an assistant
to Wolfgang Franz in Frankfurt. In 1965 he then passed his
habilitation; his results were the basis of the later lecture notes
Flächen und ebene diskontinuierliche Gruppen. In the
summer of 1966 he went back to Moscow, this time by car and with a
group of people, in order to attend the ICM. He nearly paid for this
trip with his life, as the party had a severe car crash on the way
back to Germany and Heiner was seriously injured. After recovering
from the accident he decided to spend the academic year 1967/1968 in
Moscow. During this year, he received the offer from Germany of a
chair at the University of Bochum. He accepted the offer and would
stay in Bochum until his retirement in 2002.
The Ruhruniversität in Bochum was one of many universities in
Germany that had just been founded, and Heiner was one the first
professors to be appointed. He quickly built up a group of
mathematicians, and turned his seminar into an active place with a
constant stream of international visitors. Over the years Heiner had
many long-term visitors, including a substantial number of Humboldt
fellows, who spent an extended period of time in Bochum. After the
Soviet Union had faded and travel restriction for mathematicians from
the East were lifted, Bochum turned into a haven for mathematicians
from countries of the former Soviet Union.
Even as Heiner branched out into a variety of mathematical directions,
the topic of surfaces, planar groups and their automorphisms remained
a central theme throughout Heiner's mathematical career. Many of his
results in 3-manifold theory resulted from his deep understanding of
the algebraic structure of planar groups. Besides making Bochum a
centre of combinatorial group theory and topology, Heiner Zieschang
continued to travel extensively. In particular he spent the full
academic years 70/71 in Ann Abor, 74/75 in Madison, 78/79 in
Minneapolis, 84/85 in Moscow, 88/89 in Paris, 93/94 in Toulouse and
98/99 in Santa Barbara.
Heiner Zieschang was awarded two honorary degrees. In 1995 he received
the title of Docteur Honoris Causa from the Université Paul Sabatier
in Toulouse. In 1996, at the occasion of his 60th birthday, he was
awarded the title of Honorary Professor of the Moscow State
University, a quite unusual honor for a mathematician. In 1993 Heiner
further received the Alexander von Humboldt prize for his
contributions to the scientific cooperation between France and
Germany.
After his retirement in 2002 Heiner continued to pursue mathematics
avidly, and returned to Moscow for the academic years 02/03 and
03/04. It was during this time that Heiner found out about his
illness. After his return from Moscow in October 2003 Heiner continued
to work with various coauthors while staying in Bochum. Heiner passed
away on April 5th 2004.
Michel Boileau, Martin Scharlemann, Richard Weidmann