The following Obituary appeared in the paper in Binghamton, NY, where he had lived for some years.
PETER J. HILTON of Binghamton
Peter Hilton, 87, Distinguished Professor of Mathematics at Binghamton University, died on Saturday, November 6, 2010. He is survived by his wife Margaret, sons and daughter-in-law, Nicholas Hilton, Binghamton and Timothy and Catherine Hilton, Seattle, Wa., two grandsons, one great granddaughter and brother and sister-in-law, Dr. Sydney and Mary Hilton, North Wales, U.K.
Peter was born in London, and educated at Oxford University. During World War II, at age 18, he was recruited from Oxford, because of his mathematical ability and knowledge of German, to work at Bletchley Park, the secret British facility dedicated to breaking German codes. This project was led by Alan Turing, the celebrated mathematician and founder of computer science, with whom the young Peter Hilton worked closely. Initially, Peter worked on breaking the Enigma code, and, later, on the more refined Fish code. Once the British Official Secrets Act was lifted in the 1980’s, his lectures about the years at Bletchley Park were highly popular at venues all over the world. He gave several such lectures at Binghamton University.
After the War Peter obtained his doctorate from Oxford. Peter went on to hold academic positions at Cambridge and Manchester Universities, and a Chair at the University of Birmingham. In 1962, he moved to the United States where he was Professor of Mathematics, first at Cornell, then at the University of Washington and the Battelle Institute. He held the Louis D. Beaumont Chair at Case Western Reserve University for a number of years, ending in 1982 when he became Distinguished Professor at Binghamton University, retiring in 1995.
Peter Hilton was one of the most influential mathematicians of his generation. He made major contributions to algebraic topology and homological algebra. His influence on these subjects has been profound. In his later years he was also a significant figure in Mathematics Education, especially in Continental Europe. He published hundreds of research articles and many books on mathematics and mathematics education, and he lectured at conferences into his mid-eighties.
On the Whitehead product:
Peter Hilton, J. H. C. Whitehead, Note on the Whitehead Product, Annals of Mathematics Second Series, Vol. 58, No. 3 (Nov., 1953), pp. 429-442 (jstor:1969746)
Peter Hilton, On the homotopy groups of unions of spheres, J. London Math. Soc., 1955, 30, 154–172 (pdf)
On homotopy theory:
On internalization, H-spaces, monoid objects, group objects in algebraic topology/homotopy theory and introducing the Eckmann-Hilton argument:
Beno Eckmann, Peter Hilton, Theorem 1.12: Structure maps in group theory, Fundamenta Mathematicae 50 (1961), 207-221
Beno Eckmann, Peter Hilton, Group-like structures in general categories I multiplications and comultiplications, Math. Ann. 145, 227–255 (1962) (doi:10.1007/BF01451367)
Beno Eckmann, Peter Hilton, Group-like structures in general categories III primitive categories, Math. Ann. 150 165–187 (1963) (doi:10.1007/BF01470843)
On category theory and homology:
Peter Hilton (ed.) Category Theory, Homology Theory and Their Applications,
vol 1: Lecture Notes in Mathematics 86, Springer (1969) [doi:10.1007/BFb0079380]
vol 2: Lecture Notes in Mathematics 92, Springer (1969) [doi:10.1007/BFb0080761]
vol 3: Lecture Notes in Mathematics 99, Springer (1969) [doi:10.1007/BFb0081959]
On generalized cohomology, the Chern-Dold character and topological K-theory:
On nilpotent groups, nilpotent modules and nilpotent topological spaces:
On nilpotent semi-simplicial sets:
On the Mayer-Vietoris sequence:
On the early history of algebraic topology and homotopy theory (starting with Analysis Situs):
See also:
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