- Peter Hilton
Peter John Hilton (born
April 7, 1923Peter Hilton, "On all Sorts of Automorphisms", "The American Mathematical Monthly", 92(9), November 1985, p. 650] ) is a British-born mathematician, noted for his contributions to homotopy theory.
Hilton was born in
London, and educated at St Paul's School."About the speaker", [http://www.nationalcodescentre.org/edu/lectures/turing.rhtm announcement] of a lecture given by Peter Hilton at Bletchley Park on 12 July 2006, accessed 18 January 2007.] He won a scholarship to The Queen's College, Oxfordin 1940.
World War II, as an undergraduate, Hilton was obliged to enrol in training with the Royal Artillery, and was scheduled for conscriptionin Summer 1942.Peter Hilton, "Living with Fish: Breaking Tunny in the Newmanry and the Testery", p. 190 from pp. 189-203 in Jack Copeland ed, "Colossus: The Secrets of Bletchley Park's Codebreaking Computers", Oxford University Press, 2006] Instead, he was interviewed by a team touring universities looking for mathematicians with knowledge of German, and was offered a position in the Foreign Officewithout being told the nature of the work. The team was, in fact, recruiting on behalf of the Government Code and Cypher School. He accepted, and, aged 18, arrived at wartime codebreakingstation Bletchley Parkon 12 January1942. [Hilton, "Living with Fish", p. 189]
He was initially put to work on Naval Enigma in
Hut 8. In late 1942, he transferred to work on German teleprinterciphers. A special section known as the " Testery" had been formed in July 1942 to work on one such cipher, codenamed "Tunny", and Hilton was one of early members of the group.Jerry Roberts, "Major Tester's Section", p. 250 of pp. 249-259 in Jack Copeland ed, "Colossus: The Secrets of Bletchley Park's Codebreaking Computers", Oxford University Press, 2006] His role was to devise ways to deal with changes in Tunny, and to liaise with another section working on Tunny, the " Newmanry", which complemented the hand-methods of the Testery with specialised codebreaking machinery.
Hilton obtained his DPhil in 1949 from
Oxford Universityunder the supervision of John Henry Whitehead. His dissertation was titled, "Calculation of the Homotopy Groups of "A""n"2-polyhedra".David Joyner and David Kahn, editors, "Edited Transcript of Interview with Peter Hilton for "Secrets of War", in "Cryptologia" 30(3), July-September 2006, pp. 236-250]
In 1958, he became the Mason Professor of Pure Mathematics at the
University of Birmingham. He moved to the United States in 1962 to be Professor of Mathematics at Cornell University, a post he held until 1971. He was then appointed Louis D. Beaumont University Professor at Case Western Reserve University. In 1982, he was appointed Distinguished Professor of Mathematics at Binghamton University, becoming Emeritus in 2003. He now spends each spring semester as Distinguished Professor of Mathematics at the University of Central Florida.
Hilton constructed the 51-letter
palindrome, "Doc note, I dissent. A fast never prevents a fatness. I diet on cod." [Jack Good, "Enigma and Fish", p. 160 from pp. 149-166 in F. H. Hinsley and Alan Strip, editors, "Codebreakers: The Inside Story of Bletchley Park", 1993]
* Peter J. Hilton, "An introduction to homotopy theory", Cambridge Tracts in Mathematics and Mathematical Physics, no. 43, Cambridge, at the University Press, 1953. ISBN 0521052653 MathSciNet| id=0056289
* Peter J. Hilton,
Shaun Wylie, "Homology theory: An introduction to algebraic topology", Cambridge University Press, New York, 1960. ISBN 0521094224 MathSciNet| id=0115161
* Peter Hilton, "Homotopy theory and duality", Gordon and Breach, New York-London-Paris, 1965 ISBN 0677002955 MathSciNet| id=0198466
* Peter J. Hilton, Guido Mislin, Joe Roitberg, "Localization of nilpotent groups and spaces", North-Holland Publishing Co., Amsterdam-Oxford, 1975. ISBN 0444107762 MathSciNet| id=0478146
* Peter J. Hilton, Urs Stammbach, "A course in homological algebra. Second edition",
Graduate Texts in Mathematics, vol 4, Springer-Verlag, New York, 1997. ISBN 0-387-94823-6 MathSciNet| id=1438546
Hilton's former PhD students
Cornell University1960, Imre Bokor Eidgenössische Technische Hochschule Zürich1988, Bryce Brogan Case Western Reserve University1977, Charles Cassidy Université Laval1977, Keith Hardie University of Cambridge1958, Robert Hass Case Western Reserve University1977, Paul Kainen Cornell University1970, Paulo Leite Universidade de São Paulo1979, Karl Lorensen State University of New York at Binghamton1997, Robert Militello State University of New York at Binghamton1991, Vidhyanath Rao Case Western Reserve University1981, Heather Ries State University of New York at Binghamton1992, Dirk Scevenels Katholieke Universiteit Leuven1995, Christopher Schuck State University of New York at Binghamton1992, Chia-Hui Shih Kuo Cornell University1964, Johnnie Slagle University of Washington1973, Michael Stewart University of Washington1973 , Changchao Su State University of New York at Binghamton2000, Yel-Chiang Wu Cornell University1967, S. Yahya University of Birmingham1962,
* [http://www.math.binghamton.edu/peter/ Home page at Binghamton University]
* [http://news2.ucf.edu/FY2002-03/030407.html "The World Celebrates Professor’s Birthday"] , at University of Central Florida
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