Subject: [Fwd: Borel obit] Date: Thu, 14 Aug 2003 11:24:48 -0400 From: jim stasheff To: walter , dondavis Peter Freyd wrote: > > Copyright 2003 The New York Times Company > The New York Times > > August 14, 2003, Thursday, Late Edition - Final > > NAME: Armand Borel > > SECTION: Section B; Page 8; Column 5; Metropolitan Desk > > LENGTH: 549 words > > HEADLINE: Armand Borel, 80, a Leader In 20th-Century Mathematics > > BYLINE: By PAUL LEWIS > > BODY: > > Armand Borel, a Swiss-born mathematician who became a towering figure in the > development of modern mathematics, died on Monday in Princeton, N.J. He was 80. > > The cause was cancer, said his daughter Dominique Odette Susan Borel. > > Dr. Borel, who was a professor emeritus at the Institute for Advanced Study > in Princeton, N.J., was a highly influential figure in two groups of > mathematicians that at different times and in different places had a profound > influence on the evolution of mathematics after World War II. > > In the years just after the war, Dr. Borel was close to a number of French > mathematicians, including Jean Leray, Andre Weil, Henri Cartan and Jean-Pierre > Serre, who self-deprecatingly referred to themselves as the Bourbaki Group, > after a spectacularly unsuccessful French general in the Franco-Prussian War of > 1870. > > These mathematicians set themselves the lofty goal of reconceptualizing the > whole of mathematics to give it a new degree of unity and abstraction in what > Dr. Borel used to refer to, laughingly, as the second French Revolution. > > Dr. Borel's contribution came through his lifelong study of certain > continuous collections of mathematical symmetries, known as Lie groups after the > Norwegian mathematician Sophus Lie, and through his efforts to use what he had > learned from this work to illuminate other fields of mathematical inquiry. > > Because of the increasing importance the theory of Lie groups plays in modern > mathematics, Dr. Borel's work became a major influence on some of the most > important developments in contemporary mathematical research. > > Dr. Borel became a leading figure in a second group of mathematicians, formed > during the 1960's and 1970's at the institute, where he was a professor from > 1957 to 1993. Besides Andre Weil, this group included the American Robert > Langland and Pierre Deligne of Belgium. > > Dr. Borel and the others, inspired in part by Dr. Langland, sought to use > their insights into Lie group theory to understand profound patterns in the > theory of numbers. > > When Dr. Borel was awarded the American Mathematical Society's Steele Prize > in 1991 for his lifelong contribution to mathematics, the citation noted that he > had "provided the empirical base for a great swath of modern mathematics, and > his observations pointed out the structure and mechanisms that became central > concerns of mathematical activity." > > In 1973, Dr. Borel led a group of scholars at the institute in a highly > publicized clash with its director, Dr. Carl Kaysen, over plans to appoint a > sociologist, Robert N. Bellah, to a professorship there. The challengers > questioned both his scholarly credentials and the need for a sociology > department. In the end, Dr. Bellah did not join the institute. > > Armand Borel was born on May 21, 1923, in the small French-speaking Swiss > town of La Chaux-de-Fonds. He graduated from the Swiss Federal Institute of > Technology in Zurich in 1949 and received a doctorate from the University of > Paris in 1952. In 1952 he married Gabrielle Aline Pittet. > > A lover of music, Dr. Borel directed a concert program at the Institute for > Advanced Study from 1985 to 1992. > > He is survived by his wife; his daughter Dominique, of New York; and another > daughter, Anne Christine Borel, also of New York. > > GRAPHIC: Photo: Dr. Armand Borel in 1998. (Photo by Cliff Moore)