Patrick Dehornoy

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Patrick Dehornoy
Dehornoy in 2013
Born(1952-09-11)11 September 1952
Rouen, France
Died4 September 2019(2019-09-04) (aged 66)
Villejuif, France
NationalityFrench
Alma materUniversity of Paris
École normale supérieure
AwardsFerran Sunyer i Balaguer Prize (1999)
Senior member of the Institut Universitaire de France (2002)
Prix Langevin [fr] (2005)
EMS Monograph Award (2014)
Scientific career
FieldsMathematics
InstitutionsUniversity of Caen Normandy
French National Centre for Scientific Research
Doctoral advisorKenneth Walter McAloon

Patrick Dehornoy (11 September 1952 – 4 September 2019) was a mathematician at the University of Caen Normandy who worked on set theory and group theory.

Early life and education

Dehornoy was born on 11 September 1952 in

Ph.D. in 1978 at the University of Paris, with a thesis written under the direction of Kenneth Walter McAloon.[1][2]

Career

Dehornoy was a researcher at the French National Centre for Scientific Research (CNRS) from 1975 to 1982.[1] He was at the University of Caen Normandy as a Professor from 1983 to 2017 and as an Emeritus Professor from 2017 until his death.[1] From 2009 to 2013, he was an adjunct scientific director of the Institut national des sciences mathématiques et de leurs interactions [fr] (INSMI) at the CNRS.[1] Dehornoy died on 4 September 2019 in Villejuif, France at the age of 66.[3]

Research

Dehornoy 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.[4] In his later career, he was a major contributor to the theory of braid groups, including creating a fast algorithm for comparing braids,[5] and was one of the main contributors to the development of Garside methods.[3]

Awards

In 1999, Dehornoy received the Ferran Sunyer i Balaguer Prize.[1] In 2002, he was elected a senior member of the Institut Universitaire de France (renewed in 2007).[1] In 2005, he received the Prix Langevin [fr] of the French Academy of Sciences.[1] In 2014, he received the EMS Monograph Award for his book Foundations of Garside Theory.[1]

Selected publications

  • Dehornoy, Patrick (1994), "Braid groups and left distributive operations",
    MR 1214782
  • Dehornoy, Patrick (1995), "From large cardinals to braids via distributive algebra",
    MR 1321290
  • Dehornoy, Patrick; Dynnikov, Ivan; Rolfsen, Dale; Wiest, Bert (2008), Ordering braids, Mathematical Surveys and Monographs, vol. 148, Providence, R.I.:
    MR 2463428
  • Dehornoy, Patrick; Digne, François; Godelle, Eddy; Krammer, Daan; Michel, Jean (2015), Foundations of Garside theory, EMS Tracts in Mathematics, vol. 22, Zürich:
    MR 3362691
  • Dehornoy, Patrick (2017), "Multifraction reduction (II): conjectures for Artin–Tits groups",
    S2CID 119604700

References

  1. ^
    Centre national de la recherche scientifique (in French). Archived
    from the original on 31 December 2020. Retrieved 31 December 2020.
  2. ^ Patrick Dehornoy at the Mathematics Genealogy Project
  3. ^ a b "Décès de Patrick Dehornoy | Société Mathématique de France". smf.emath.fr. Retrieved 31 December 2020.
  4. MR 1214782
  5. doi:10.1006/aima.1997.1605
    .

External links
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