Neil Sloane

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Neil Sloane
N. J. A. Sloane.jpg
Neil Sloane in 1997
Born (1939-10-10) October 10, 1939 (age 77)
Beaumaris, Wales[1]
Residence New Jersey
Institutions Cornell University
AT&T Bell Laboratories
AT&T Labs
Alma mater University of Melbourne
Cornell University
Doctoral advisor Frederick Jelinek, Wolfgang Fuchs
Known for Sphere Packing, Lattices and Groups (with J. H. Conway), The Theory of Error-Correcting Codes (with F. J. MacWilliams), and the On-Line Encyclopedia of Integer Sequences
Notable awards Chauvenet Prize (1979)
Claude E. Shannon Award (1998)
IEEE Richard W. Hamming Medal (2005)

Neil James Alexander Sloane (born October 10, 1939) is a British-American mathematician.[2] His major contributions are in the fields of combinatorics, error-correcting codes, and sphere packing. Sloane is best known for being the creator and maintainer of the On-Line Encyclopedia of Integer Sequences.[3]


Sloane was born in Wales and brought up in Australia.[4]

He studied at Cornell University, New York state, under Nick DeClaris, Frank Rosenblatt, Frederick Jelinek and Wolfgang Heinrich Johannes Fuchs, receiving his Ph.D. in 1967.[5] His doctoral dissertation was titled Lengths of Cycle Times in Random Neural Networks. Sloane joined AT&T Bell Labs in 1968 and retired from AT&T Labs in 2012. He became an AT&T Fellow in 1998. He is also a Fellow of the Learned Society of Wales, an IEEE Fellow, a Fellow of the American Mathematical Society,[6] and a member of the National Academy of Engineering.

He is a winner of a Lester R. Ford Award in 1978[7] and the Chauvenet Prize in 1979. In 2005 Sloane received the IEEE Richard W. Hamming Medal.[8] In 2008 he received the Mathematical Association of America David P. Robbins award.

In 2014, to celebrate his 75th birthday, Neil Sloane shared some of his favorite integer sequences.[9]

Besides mathematics, he loves rock climbing and has authored two rock-climbing guides to New Jersey.[10]

Selected publications[edit]

  • N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, NY, 1973.
  • F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North-Holland, Amsterdam, 1977.[11]
  • M. Harwit and N. J. A. Sloane, Hadamard Transform Optics, Academic Press, San Diego CA, 1979.
  • N. J. A. Sloane and A. D. Wyner, editors, Claude Elwood Shannon: Collected Papers, IEEE Press, NY, 1993.
  • N. J. A. Sloane and S. Plouffe, The Encyclopedia of Integer Sequences, Academic Press, San Diego, 1995.
  • J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, NY, 1st edn., 1988;[12] 2nd edn., 1993;[13] 3rd ed., 1998.
  • A. S. Hedayat, N. J. A. Sloane and J. Stufken, Orthogonal Arrays: Theory and Applications, Springer-Verlag, NY, 1999.
  • G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer-Verlag, 2006.

See also[edit]


  1. ^ Roselle, David P. (1979). "Award of the Chauvenet Prize to Dr. Neil J. A. Sloane". American Mathematical Monthly. 86 (2): 79. doi:10.2307/2321940. Retrieved 2010-02-01. 
  2. ^ Sloane's home page "Neil J. A. Sloane: Home Page". Retrieved June 2, 2012. 
  3. ^ Contains information on over two hundred thousand integer sequences "The On-Line Encyclopedia of Integer Sequences". Retrieved 6 December 2012. 
  4. ^ The Guardian, Neil Sloane: the man who loved only integer sequences, October 7, 2014.
  5. ^ Neil Sloane at the Mathematics Genealogy Project
  6. ^ List of Fellows of the American Mathematical Society, retrieved 2013-07-20.
  7. ^ Sloane, Neil J. A. (1977). "Error correcting codes and invariant theory: new applications of a 19th century technique". Amer. Math. Monthly. 84: 82–107. doi:10.2307/2319929. 
  8. ^ "IEEE Richard W. Hamming Medal Recipients" (PDF). IEEE. Retrieved May 29, 2011. 
  9. ^ Bellos, Alex (7 October 2014). "Neil Sloane: the man who loved only integer sequences". The Guardian. Retrieved 10 December 2016. 
  10. ^ Sloane's webpage for the book "Rock Climbing New Jersey". Retrieved 6 December 2012. 
  11. ^ Pless, Vera (1978). "Review: The theory of error-correcting codes, I and II, by F. J. MacWilliams and N. J. A. Sloane". Bull. Amer. Math. Soc. 84 (6): 1356–1359. doi:10.1090/s0002-9904-1978-14578-9. 
  12. ^ Guy, Richard K. (1989). "Review: Sphere packings, lattices and groups, by J. H. Conway and N. J. A. Sloane". Bull. Amer. Math. Soc. (N.S.). 21 (1): 142–147. doi:10.1090/s0273-0979-1989-15795-9. 
  13. ^ Rogers, C. A. (1993). "Review: Sphere packings, lattices and groups, second ed., by J. H. Conway and N. J. A. Sloane". Bull. Amer. Math. Soc. (N.S.). 29 (2): 306–314. doi:10.1090/s0273-0979-1993-00435-x. 

External links[edit]