Neil Sloane

Neil Sloane in 1997

Born|  (1939-10-10) October 10, 1939 (age 86)
Alma mater| University of Melbourne
Cornell University
Known for| Sphere Packings, 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
Awards| Chauvenet Prize (1979)
Claude E. Shannon Award (1998)
IEEE Richard W. Hamming Medal (2005)
Scientific career
Institutions| Cornell University
AT&T Bell Laboratories
AT&T Labs
Doctoral advisor| Frederick Jelinek, Wolfgang Fuchs
Website| neilsloane.com

Neil James Alexander Sloane FLSW (born October 10, 1939) is a British-American mathematician.[1] 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 (OEIS).[2]

## Biography

Sloane was born in Beaumaris, Anglesey, Wales, in 1939, moving to Cowes, Isle of Wight, England in 1946. The family emigrated to Australia, arriving at the start of 1949. Sloane then moved from Melbourne to the United States in 1961.[3]

He studied at Cornell University under Nick DeClaris, Frank Rosenblatt, Frederick Jelinek and Wolfgang Heinrich Johannes Fuchs, receiving his Ph.D. in 1967.[4] His doctoral dissertation was titled Lengths of Cycle Times in Random Neural Networks. Sloane joined Bell Labs in 1968 and retired from its successor AT&T Labs in 2012. He became an AT&T Fellow in 1998. He is also a Fellow of the Learned Society of Wales,[5] 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.[7] In 1998 he was an Invited Speaker of the International Congress of Mathematicians in Berlin.[8] In 2005 Sloane received the IEEE Richard W. Hamming Medal.[9] In 2008 he received the Mathematical Association of America David P. Robbins Prize, and in 2013 the George Pólya Award.

In 2014, to celebrate his 75th birthday, Sloane shared some of his favorite integer sequences.[10] Besides mathematics, he loves rock climbing and has authored two rock-climbing guides to New Jersey.[11]

He regularly appears in videos for Brady Haran's YouTube channel Numberphile.[12]

## Selected publications

* Neil James Alexander Sloane, A Handbook of Integer Sequences, Academic Press, NY, 1973.
* Florence Jessie MacWilliams and Neil James Alexander Sloane, The Theory of Error-Correcting Codes, Elsevier/North-Holland, Amsterdam, 1977.[13][14]
* M. Harwit and Neil James Alexander Sloane, Hadamard Transform Optics, Academic Press, San Diego CA, 1979.
* Neil James Alexander Sloane and A. D. Wyner, editors, Claude Elwood Shannon: Collected Papers, IEEE Press, NY, 1993.
* Neil James Alexander Sloane and S. Plouffe, The Encyclopedia of Integer Sequences, Academic Press, San Diego, 1995.
* J. H. Conway and Neil James Alexander Sloane, Sphere Packings, Lattices and Groups, Springer-Verlag, NY, 1st edn., 1988;[15] 2nd edn., 1993;[16] 3rd ed., 1998.
* A. S. Hedayat, Neil James Alexander Sloane and J. Stufken, Orthogonal Arrays: Theory and Applications, Springer-Verlag, NY, 1999.
* G. Nebe, E. M. Rains and Neil James Alexander Sloane, Self-Dual Codes and Invariant Theory, Springer-Verlag, 2006.

## See also

* Reeds–Sloane algorithm
* Sloane's gap

## References

1. ↑ Sloane's home page "Neil J. A. Sloane: Home Page". http://NeilSloane.com.
2. ↑ Contains information on over three hundred thousand integer sequences "The On-Line Encyclopedia of Integer Sequences". http://oeis.org.
3. ↑ "Neil Sloane: the man who loved only integer sequences", The Guardian, October 7, 2014, https://www.theguardian.com/science/alexs-adventures-in-numberland/2014/oct/07/neil-sloane-the-man-who-loved-only-integer-sequences
4. ↑ Neil Sloane at the Mathematics Genealogy Project
5. ↑ "Dr Neil Sloane". Fellows. Learned Society of Wales. 2015. https://www.learnedsociety.wales/fellow/neil-sloane/.
6. ↑ List of Fellows of the American Mathematical Society , retrieved 2013-07-20.
7. ↑ 7.0 7.1 Sloane, Neil J. A. (1977). "Error correcting codes and invariant theory: new applications of a 19th century technique". Amer. Math. Monthly 84 (2): 82–107. doi:10.2307/2319929. http://www.maa.org/programs/maa-awards/writing-awards/error-correcting-codes-and-invariant-theory-new-applications-of-a-19th-century-technique.
8. ↑ Sloane, N. J. A. (1998). "The sphere packing problem". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. III. pp. 387–396. https://www.elibm.org/ft/10011595000.
9. ↑ "IEEE Richard W. Hamming Medal Recipients". IEEE. http://www.ieee.org/documents/hamming_rl.pdf.
10. ↑ Bellos, Alex (7 October 2014). "Neil Sloane: the man who loved integer sequences". https://www.theguardian.com/science/alexs-adventures-in-numberland/2014/oct/07/neil-sloane-the-man-who-loved-only-integer-sequences.
11. ↑ Sloane's webpage for the book "Rock Climbing New Jersey". http://neilsloane.com/doc/GUIDE00/.
12. ↑ Sloan, Neil; Haran, Brady. "Neil Sloane on Numberphile". YouTube. https://www.youtube.com/playlist?list=PLt5AfwLFPxWJXQqPe_llzWmTHMPb9QvV2.
13. ↑ The Theory of Error-Correcting Codes. North-Holland Mathematical Library. 16 (digital print of 12th impression, 1st ed.). Amsterdam / London / New York / Tokyo: North-Holland / Elsevier BV. 2007. ISBN 978-0-444-85193-2. (xxii+762+6 pages)
14. ↑ 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.
15. ↑ "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. 1989. doi:10.1090/s0273-0979-1989-15795-9.
16. ↑ "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. 1993. doi:10.1090/s0273-0979-1993-00435-x.

## External links

* Neil Sloane at the Mathematics Genealogy Project
* IEEE Richard W. Hamming Medal Recipients, 2005 – Neil J. A. Sloane
* Neil Sloane's entry in the Numericana Hall of Fame
* "The pattern collector", Science News
* Doron Zeilberger, Opinion 124: A Database is Worth a Thousand Mathematical Articles
* Confessions of a Sequence Addict: Neil Sloane

* v
* t
* e

Claude E. Shannon Award

1972–1989|

* 1972 Claude E. Shannon
* 1973
* 1974 David S. Slepian
* 1975
* 1976 Robert M. Fano
* 1977 Peter Elias
* 1978 Mark Semenovich Pinsker
* 1979 Jacob Wolfowitz
* 1980
* 1981 W. Wesley Peterson
* 1982 Irving S. Reed
* 1983 Robert G. Gallager
* 1984
* 1985 Solomon W. Golomb
* 1986 William Lucas Root
* 1987
* 1988 James Massey
* 1989

1990–1999|

* 1990 Thomas M. Cover
* 1991 Andrew Viterbi
* 1992
* 1993 Elwyn Berlekamp
* 1994 Aaron D. Wyner
* 1995 George David Forney
* 1996 Imre Csiszár
* 1997 Jacob Ziv
* 1998 Neil Sloane
* 1999 Tadao Kasami

2000–2009|

* 2000 Thomas Kailath
* 2001 Jack Keil Wolf
* 2002 Toby Berger
* 2003 Lloyd R. Welch
* 2004 Robert McEliece
* 2005 Richard Blahut
* 2006 Rudolf Ahlswede
* 2007 Sergio Verdú
* 2008 Robert M. Gray
* 2009 Jorma Rissanen

2010–present|

* 2010 Te Sun Han
* 2011 Shlomo Shamai (Shitz)
* 2012 Abbas El Gamal
* 2013 Katalin Marton
* 2014 János Körner
* 2015 Robert Calderbank
* 2016 Alexander Holevo
* 2017 David Tse
* 2018 Gottfried Ungerboeck
* 2019 Erdal Arıkan
* 2020 Charles Bennett

* v
* t
* e

IEEE Richard W. Hamming Medal

1988–2000|

* Richard Hamming (1988)
* Irving S. Reed (1989)
* Dennis Ritchie / Ken Thompson (1990)
* Elwyn Berlekamp (1991)
* Lotfi A. Zadeh (1992)
* Jorma Rissanen (1993)
* Gottfried Ungerboeck (1994)
* Jacob Ziv (1995)
* Mark Semenovich Pinsker (1996)
* Thomas M. Cover (1997)
* David D. Clark (1998)
* David A. Huffman (1999)
* Solomon W. Golomb (2000)

2001–present|

* Alexander G. Fraser (2001)
* Peter Elias (2002)
* Claude Berrou / Alain Glavieux (2003)
* Jack K. Wolf (2004)
* Neil Sloane (2005)
* Vladimir Levenshtein (2006)
* Abraham Lempel (2007)
* Sergio Verdú (2008)
* Peter Franaszek (2009)
* Whitfield Diffie / Martin Hellman / Ralph Merkle (2010)
* Toby Berger (2011)
* Michael Luby / Amin Shokrollahi (2012)
* Robert Calderbank (2013)
* Thomas Richardson / Rüdiger Urbanke (2014)
* Imre Csiszár (2015)
* Abbas El Gamal (2016)
* Shlomo Shamai (2017)
* Erdal Arıkan (2018)
* David Tse (2019)
* Cynthia Dwork (2020)

* v
* t
* e

Chauvenet Prize recipients

* 1925 G. A. Bliss
* 1929 T. H. Hildebrandt
* 1932 G. H. Hardy
* 1935 Dunham Jackson
* 1938 G. T. Whyburn
* 1941 Saunders Mac Lane
* 1944 R. H. Cameron
* 1947 Paul Halmos
* 1950 Mark Kac
* 1953 E. J. McShane
* 1956 Richard H. Bruck
* 1960 Cornelius Lanczos
* 1963 Philip J. Davis
* 1964 Leon Henkin
* 1965 Jack K. Hale and Joseph P. LaSalle
* 1967 Guido Weiss
* 1968 Mark Kac
* 1970 Shiing-Shen Chern
* 1971 Norman Levinson
* 1972 François Trèves
* 1973 Carl D. Olds
* 1974 Peter D. Lax
* 1975 Martin Davis and Reuben Hersh
* 1976 Lawrence Zalcman
* 1977 W. Gilbert Strang
* 1978 Shreeram S. Abhyankar
* 1979 Neil J. A. Sloane
* 1980 Heinz Bauer
* 1981 Kenneth I. Gross
* 1982 No award given.
* 1983 No award given.
* 1984 R. Arthur Knoebel
* 1985 Carl Pomerance
* 1986 George Miel
* 1987 James H. Wilkinson
* 1988 Stephen Smale
* 1989 Jacob Korevaar
* 1990 David Allen Hoffman
* 1991 W. B. Raymond Lickorish and Kenneth C. Millett
* 1992 Steven G. Krantz
* 1993 David H. Bailey, Jonathan M. Borwein and Peter B. Borwein
* 1994 Barry Mazur
* 1995 Donald G. Saari
* 1996 Joan Birman
* 1997 Tom Hawkins
* 1998 Alan Edelman and Eric Kostlan
* 1999 Michael I. Rosen
* 2000 Don Zagier
* 2001 Carolyn S. Gordon and David L. Webb
* 2002 Ellen Gethner, Stan Wagon, and Brian Wick
* 2003  Thomas C. Hales
* 2004 Edward B. Burger
* 2005 John Stillwell
* 2006 Florian Pfender & Günter M. Ziegler
* 2007 Andrew J. Simoson
* 2008 Andrew Granville
* 2009 Harold P. Boas
* 2010 Brian J. McCartin
* 2011 Bjorn Poonen
* 2012 Dennis DeTurck, Herman Gluck, Daniel Pomerleano & David Shea Vela-Vick
* 2013 Robert Ghrist
* 2014 Ravi Vakil
* 2015 Dana Mackenzie
* 2016 Susan Marshall & Donald R. Smith
* 2017 Mark Schilling
* 2018 Daniel J. Velleman
* 2019 Tom Leinster

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