During World War II, as an undergraduate, Hilton was obliged to enrol in training with the Royal Artillery, and was scheduled for conscription in Summer 1942. Instead, he was interviewed by a team touring universities looking for mathematicians with knowledge of German, and was offered a position in the Foreign Office without 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 codebreaking station Bletchley Park on 12 January 1942.
He was initially put to work on Naval Enigma in Hut 8. In late 1942, he transferred to work on German teleprinter ciphers. 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. 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. Occasionally the same message was sent repeated, a major security blunder which Bletchley park called a "depth." Hilton derived great satisfaction from being able to look at the encoded texts coming from two separate teleprinters and from them work out the original German text.
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. From 1971 to 1973, he held a joint appointment as Fellow of the Battelle Seattle Research Center and Professor of Mathematics at the University of Washington. September 1, 1972, he was appointed Louis D. Beaumont University Professor at Case Western Reserve University. September 1, 1973, he took up the appointment. In 1982, he was appointed Distinguished Professor of Mathematics at Binghamton University, becoming Emeritus in 2003. Latterly he spent each spring semester as Distinguished Professor of Mathematics at the University of Central Florida.
Hilton's principal research interests were in algebraic topology, homological algebra, categorical algebra, and mathematics education. He published 15 books and over 600 articles in these areas, some jointly with colleagues.
Hilton is featured in Mathematical People.
He died in Binghamton, New York.
Additional academic positions
- Lecturer at University of Cambridge, 1952 – 55
- Senior Lecturer at University of Manchester, England, 1956 – 58
- Mason Professor of Pure Mathematics, University of Birmingham, England, 1958 – 62
- Visiting Professor at the Eidgenössische Technische Hochschule at Zürich, ETH Zurich, 1966 – 67, 1981 – 82, 1988 – 89
- Visiting Professor at the Courant Institute of Mathematical Sciences, New York University, 1967 – 68
- Visiting Professor at the Universitat Autònoma de Barcelona, Autonomous University of Barcelona, 1989
- Professeur invité, University of Lausanne, in 1996
- American Mathematical Society
- Mathematical Association of America
- London Mathematical Society
- Cambridge Philosophical Society
- Royal Statistical Society
- Honorary member of the Mathematical Society of Belgium
- Honorary member of Phi Beta Kappa Society
- First-Vice-President of the Mathematical Association of America 1978–1980
- Silver Medal, University of Helsinki, 1975
- Doctor of Humanities (hon. causa), N. University of Michigan, 1977
- Corresponding Member, Brazilian Academy of Sciences, 1979
- Doctor of Science (hon. causa), Memorial University of Newfoundland, 1983
- Doctor of Science (hon. causa), Autonomous University of Barcelona, 1989
- In August, 1983, an international conference on algebraic topology was held, under the auspices of the Canadian Mathematical Society, to mark Professor Hilton’s 60th Birthday. Professor Hilton was presented with a Festschrift of papers dedicated to him (London Mathematical Society Lecture Notes, Volume 86, 1983). The American Mathematical Society has published the proceedings under the title ‘Conference on Algebraic Topology in Honor of Peter Hilton’
- Hilton was selected in October, 1992, to deliver the invited lecture at the ‘Georges de Rham’ day at the University of Lausanne.
- An International Conference was held in Montreal in May, 1993, to mark the 70th birthday of Hilton. The proceedings were published as The Hilton Symposium, CRM Proceedings and Lecture Notes, Volume 6, American Mathematical Society (1994), edited by Guido Mislin.
- In 1994, Professor Hilton was the Mahler Lecturer of the Australian Mathematical Society.
- In the summers of 2001 and 2001, Professor Hilton was Visiting Erskine Fellow at the University of Canterbury, Christchurch, New Zealand.
- In winter term of 2005 Professor Hilton received an appointment as Courtesy Faculty in the College of Arts and Sciences at University of South Florida.
- Member, Phi Beta Kappa Speakers Panel
- Consultant, John Wiley and Sons, Inc.
- Consultant, SRA/McGraw Hill Publishing Company
- Consultant, Children’s Television Workshop
- Chairman, International Advisory Board, Institut des Sciences Mathématiques, Montréal
- Editor, Publicacions Matemàtiques
- Editor, Expositiones Mathematicae
- Editor, International Journal of Mathematics and Mathematical Sciences
- Editor, Mathematical Reports
- Member, American Mathematical Society Committee on Human Rights of Mathematics
- Chairman, Mathematical Association of America Committee on Award for Distinguished Service
- Chairman, Mathematical Association of America Committee on Award of Chauvenet Prize
- Member, Mathematical Association of America Panel on Remediation
- Member, Mathematical Association of America Panel on Public Representation
- Member, Advisory Committee on Mathematics and Science, Council for Basic Education
- Secretary, International Commission of Mathematical Instruction
- Editor, NICO (Brussels)
- Consultant, National Institute of Education, Department of Health Education And Welfare
- Chairman, United States National Research Council Committee on Applied Mathematical Training
- Member, United States Commission on Mathematical Instruction, National Research Council
- Chairman, Mathematical Association of America Committee on National Awards
- Principal Editor, Ergebnisse der Mathematik Series, published by Springer Verlag
- EdChairman, National Advisory Board, Comprehensive School Mathematics Project
- Member, Committee on the Undergraduate Program in Mathematics, Mathematical Association of America
- Chairman, National Research Council Committee on Graduate and Postdoctoral Training in Mathematics
- Chairman, United States Commission on Mathematical Instruction, National Research Council
- Member, Teacher Training Panel, Committee on the Undergraduate Program in Mathematics, Mathematical Association of America
- Joint Chairman, Cambridge Conference on School Mathematics
- Member, National Advisory Committee, Boston University Mathematics Project
- Member, Committee on Films, Mathematical Association of America
- Member, Subcommittee on Translations, Mathematical Association of America
- Member, Committee on Postdoctoral Fellowships, American Mathematical Society
- Chairman, New York State Department of Education Panel on Ph.D. Program in Mathematics (September, 1976)
- Editor, Journal of Pure and Applied Algebra
- Chairman, Committee to Select Phi Beta Kappa Award in Science (Book Award)
- Peter J. Hilton, An introduction to homotopy theory, Cambridge Tracts in Mathematics and Mathematical Physics, no. 43, Cambridge, at the University Press, 1953. ISBN 0-521-05265-3 . ISBN 978-0442028640. 0056289. Missing or empty
- Peter J. Hilton, Shaun Wylie, Homology theory: An introduction to algebraic topology, Cambridge University Press, New York, 1960. ISBN 0-521-09422-4 MR0115161
- Peter Hilton, Homotopy theory and duality, Gordon and Breach, New York-London-Paris, 1965 ISBN 0-677-00295-5 MR0198466
- H.B. Griffiths and P.J. Hilton, "A Comprehensive Textbook of Classical Mathematics", Van Nostrand Reinhold, London, 1970, ISBN 978-0442028640
- Peter J. Hilton, Guido Mislin, Joe Roitberg, Localization of nilpotent groups and spaces, North-Holland Publishing Co., Amsterdam-Oxford, 1975. ISBN 0-444-10776-2 MR0478146
- Peter Hilton, Jean Pedersen, Build your own polyhedra. Second edition, Dale Seymour Publications, Palo Alto, 1994. ISBN 0-201-49096-X
- Peter Hilton, Derek Holton, Jean Pedersen, Mathematical reflections: In a room with many mirrors. Corrected edition, Undergraduate Texts in Mathematics, Springer-Verlag, New York, 1996. ISBN 0-387-94770-1
- 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 MR1438546
- Peter Hilton, Derek Holton, Jean Pedersen, Mathematical vistas: From a room with many windows, Undergraduate Texts in Mathematics, Springer-Verlag, New York, 2010. ISBN 1-4419-2867-7
- Peter Hilton, Jean Pedersen, A mathematical tapestry: Demonstrating the beautiful unity of mathematics, Cambridge University Press, Cambridge, 2010. ISBN 0-521-12821-8
- Hilton's theorem on the homotopy groups of a join of spheres
- Peter Hilton, "On all Sorts of Automorphisms", The American Mathematical Monthly, 92(9), November 1985, p. 650
- Obituaries: Peter Hilton, November 8, 2010, retrieved 9 November 2010
- Pedersen, Jean (2011). "Peter Hilton: Code Breaker and Mathematician (1923-2010)". Notices of the AMS 58 (11): 1538–1540.
- "About the speaker", announcement of a lecture given by Peter Hilton at Bletchley Park on 12 July 2006, accessed 18 January 2007.
- 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.
- Hilton, "Living with Fish", p. 189
- 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.
- "Professor Peter Hilton". Sunday Telegraph. 14 November 2010. Retrieved 14 November 2010.
- 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.
- 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.
- D. Albers and G.L. Alexanderson, Mathematical People, Birkhauser, Boston, 1995. ISBN 0-8176-3191-7
- Contemporary Mathematics 37, AMS, 1985
- Curtis, M. L. (1954). "Review: An introduction to homotopy theory, by P. J. Hilton". Bull. Amer. Math. Soc. 60 (2): 182–185.
- Massey, W. S. (1964). "Review: An introduction to algebraic topology, by P. J. Hilton and S. Wylie". Bull. Amer. Math. Soc. 70 (3): 333–335.
Hilton's former PhD students
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- Martin Arkowitz Cornell University 1960
- Imre Bokor Eidgenössische Technische Hochschule Zürich 1988
- Bryce Brogan Case Western Reserve University 1977
- Charles Cassidy Université Laval 1977
- Keith Hardie University of Cambridge 1958
- Robert Haas Case Western Reserve University 1977
- Paul Kainen Cornell University 1970
- Paulo Leite Universidade de São Paulo 1979
- Karl Lorensen State University of New York at Binghamton 1997
- Robert Militello State University of New York at Binghamton 1991
• Irwin Pressman Carleton University 1965
- Vidhyanath Rao Case Western Reserve University 1981
- Heather Ries State University of New York at Binghamton 1992
- Dirk Scevenels Katholieke Universiteit Leuven 1995
- Christopher Schuck State University of New York at Binghamton 1992
- Chia-Hui Shih Kuo Cornell University 1964
- Johnnie Slagle University of Washington 1973
- Michael Stewart University of Washington 1973
- Changchao Su State University of New York at Binghamton 2000
- Yel-Chiang Wu Cornell University 1967
- S. Yahya University of Birmingham 1962
- O'Connor, John J.; Robertson, Edmund F., "Peter Hilton", MacTutor History of Mathematics archive, University of St Andrews.
- Peter Hilton at the Mathematics Genealogy Project
- Home page at Binghamton University
- "The World Celebrates Professor’s Birthday", at University of Central Florida