Background
Nijenhuis, Albert was born on November 21, 1926 in Eindhoven, Netherlands. Son of Hendrik and Lijdia (Koornneef) Nijenhuis. came to the United States, 1952, naturalized, 1959.
mathematician university professor
Nijenhuis, Albert was born on November 21, 1926 in Eindhoven, Netherlands. Son of Hendrik and Lijdia (Koornneef) Nijenhuis. came to the United States, 1952, naturalized, 1959.
His university studies were carried out at the University of Amsterdam, where he received the degree of Candidaat (equivalent to a Bachelor of Science) in 1947, and a Doctorandus (equivalent to a Masters in Science) in 1950, cum laude. He obtained a Ph.D. in mathematics in 1952, cum laude (Theory of the geometric object). He then studied at the Institute for Advanced Study at Princeton 1953–1955, after which he spent a year as an Instructor in mathematics at the University of Chicago.
His thesis advisor was Jan Arnoldus Schouten. He came to the United States in 1952 as a Fulbright fellow (1952–1953) at Princeton University. He then moved to the University of Washington in Seattle, first as an Assistant Professor and then a Professor of Mathematics, departing in 1963 for the University of Pennsylvania, where he was a Professor of Mathematics until his retirement in 1987.
He was a Fulbright Professor at the University of Amsterdam in 1963–1964, and a visiting professor at the University of Geneva in 1967–1968, and at Dartmouth College in 1977–1978. following his retirement, he was a Professor Emeritus of the University of Pennsylvania and an Affiliate Professor at the University of Washington. In 1958 he was an invited speaker at the International Mathematical Congress in Edinburgh. He was a J.S. Guggenheim Fellow in 1961–1962, again studying at the Institute for Advanced Study.
His early work was in the area of differential geometry. He developed the Nijenhuis tensor in 1951, during his Ph.D studies at the University of Amsterdam. It was also during this time that he explored the properties of the Schouten-Nijenhuis bracket, although his work was not published until 1955.
In a lecture at the American Mathematical Society Summer Institute in Differential Geometry (1956) in Seattle he was the first to mention deformations of complex structures and their exact relationship to cohomology. With Alfred Frölicher, he developed the Frölicher-Nijenhuis bracket (1955). Further work in this area with Roger Richardson yielded the Nijenhuis–Richardson bracket (1964).
Soon thereafter his interests shifted to combinatorics. Much of his work was done with Herbert S. Wilf, with whom he published a book in 1975. After retiring, his interest in differential geometry was rekindled.
His last conference presentation and paper were presented when he was nearly 70.
Member American Mathematics Society, Mathematics Association American, Netherlands Mathematics Society, Association for Computing Machinery, American Association of University Professors, Royal Netherlands Academy Sciences (correspondent).
Married Marianne Dannhauser, August 14, 1955. Children: Erika, Karin, Sabien, Alaine.