Patrick Dehornoy

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Patrick Dehornoy
Born (1952-09-11) 11 September 1952 (age 66)
Rouen, France
EducationÉcole Normale Supérieure

Patrick Dehornoy (born September 11, 1952 in Rouen) is a mathematician at the University of Caen who works on set theory and algebra. He found one of the first applications of large cardinals to algebra by constructing a certain left-invariant total order, called the Dehornoy order, on the braid group.


  • Dehornoy, Patrick (1994), "Braid groups and left distributive operations", Transactions of the American Mathematical Society, 345 (1): 115–150, doi:10.2307/2154598, ISSN 0002-9947, MR 1214782
  • Dehornoy, Patrick (1995), "From large cardinals to braids via distributive algebra", Journal of Knot Theory and its Ramifications, 4 (1): 33–79, doi:10.1142/S0218216595000041, ISSN 0218-2165, MR 1321290
  • Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert (2002), Why are braids orderable? (PDF), Panoramas et Synthèses, 14, Paris: Société Mathématique de France, ISBN 978-2-85629-135-1, MR 1988550
  • Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert (2008), Ordering braids, Mathematical Surveys and Monographs, 148, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-4431-1, MR 2463428