Simon P. Norton

From Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Simon P. Norton
Born (1952-02-28) 28 February 1952 (age 66)
Alma materUniversity of Cambridge
Scientific career
ThesisF and Other Simple Groups (1976)
Doctoral advisorJohn Horton Conway

Simon Phillips Norton (born 28 February 1952[1]) is a mathematician in Cambridge, England, who works on finite simple groups. He constructed the Harada–Norton group and in 1979 together with John Conway proved there is a connection between the Monster group and the j-function in number theory. They dubbed this monstrous moonshine and made some conjectures later proved by Richard Borcherds. Norton was one of the authors of the ATLAS of Finite Groups. He also made several early discoveries in Conway's Game of Life,[2] and invented the game Snort.

Norton is the subject of the biography The Genius In My Basement, written by his Cambridge tenant, Alexander Masters.[3] He is also an occasional contributor to Word Ways: The Journal of Recreational Linguistics.

Selected publications[edit]

  • with C. J. Cummins: "Rational Hauptmoduls are replicable". Canadian Journal of Mathematics. 47 (6): 1201–1218. 1995. doi:10.4153/cjm-1995-061-1.
  • "Non-monstrous moonshine". Groups, Difference Sets, and the Monster: Proceedings of a Special Research Quarter at The Ohio State University, Spring 1993. 1996. pp. 433–441.
  • Free transposition groups. Communications in Algebra. 24. 1996. pp. 425–432. doi:10.1080/00927879608825578.
  • "Anatomy of the Monster: I". The Atlas of Finite Groups: Ten Years On. London Mathematical Society Lecture Note Series, 249. 1998. pp. 198–214.
  • "Computing in the Monster". Journal of Symbolic Computation. 31 (1–2): 193–201. 2001. doi:10.1006/jsco.1999.1008.
  • with Robert A. Wilson: "Anatomy of the Monster: II". Proceedings of the London Mathematical Society. 84 (3): 581–598. 2002. doi:10.1112/S0024611502013357.


  1. ^ from the Masters biography
  2. ^ Poundstone, William (1985), The recursive universe: cosmic complexity and the limits of scientific knowledge, Contemporary Books, p. 7, ISBN 978-0-8092-5202-2
  3. ^ Masters, Alexander (1 September 2011), The Genius in My Basement, London: HarperCollins, ISBN 978-0-00-724338-9, LCCN 2011535364, OCLC 739420610

External links[edit]