(A remembrance by Branko Grünbaum)
The passing of Vic Klee should be an occasion to remember him, his character
and his work, and the help of various kinds he has given to so many of us.
More than fifty years ago, while still a student in Jerusalem, I first came in
contact with Vic. During the second round of letters he suggested shortening my
addressing him from "Professor Klee" to "Klee", and in the next round, to
replace "Klee" by "Vic". This is just a small example of his friendly and open
approach to people.
One of Vic's very impressive traits was the care he devoted to his students, and
the help he was ready to give them throughout their career. His doctoral
students had weekly conferences with him, at which he most actively helped them
formulate their thoughts in an effective way, provided them with suggestions,
and tried to cheer them up when the problems seemed to be overwhelming. I
believe that every single student that started research with Vic did finish with
a degree.
Vic was a very helpful colleague, always ready with references and other
information about a variety of topics. He was also fair to a fault, happy to
help out with classes if emergencies arose, and most thoughtful and meticulous
in letters of recommendation he wrote. His lectures – whether in class, at the
seminar, or in various meetings and colloquia – were always carefully thought
out, and delivered in an inspiring and captivating manner.
One of Vic's lasting contributions to the department was the seminar he
organized in the 1950s and led for many years. The seminar continues to this
day. Over the decades, it went under various names – Convexity, Geometry,
Geometry and Combinatorics, Combinatorics and Geometry, Combinatorics,
reflecting the preferences and interests of its organizers – but the spirit did
not change much. The regular participants formed a community with frequent
contacts and exchanges. Often the attendance shot up during the Summer Quarter,
as this was one of very few offerings that presented new ideas and recent
results.
Vic's mathematical interests and achievements span a large number of fields. He
made important contributions to the theory of linear spaces (of finite and
infinite dimensions) and convex sets in them. He also wrote interesting papers
in graph theory, in combinatorics, in questions of computational complexity of
geometric constructions, and on many other topics. In most of these works he
presented original ideas, as well as stimulating open problems.
However, his most valuable mathematical achievement was in the theory of convex
polytopes. It is my firm belief that Klee's path-breaking and seminal papers on
polytopes, published in the 1960s, mark the beginning of the theory that
flourishes at present, and that he has to be considered the father of the whole
field. He retained an interest in convex polytopes to the end, and had over the
years many students exploring the topic.
Vic was also interested in popularizing mathematics among wider circles. He
wrote several general surveys, made a film, initiated and edited for several
years an "Unsolved Problems" section in the American Mathematical Monthly, and
gave literally hundreds of lectures in many different forums. He was also the
recipient of many honors – unfortunately I have no list.
Although ill health slowed Vic down over the last few years, till very recently
he was still a very valuable member of the department, and of the wider
mathematical community.