Patrick Dehornoy

Patrick Dehornoy
Dehornoy in 2013
Born	(1952-09-11)11 September 1952 Rouen, France
Died	4 September 2019(2019-09-04) (aged 66) Villejuif, France
Nationality	French
Alma mater	University of Paris École normale supérieure
Awards	Ferran Sunyer i Balaguer Prize (1999) Senior member of the Institut Universitaire de France (2002) Prix Langevin [fr] (2005) EMS Monograph Award (2014)
Scientific career
Fields	Mathematics
Institutions	University of Caen Normandy French National Centre for Scientific Research
Doctoral advisor	Kenneth 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 Rouen, France.^[1] He graduated from the Lycée Pierre-Corneille in 1971.^[1] He studied at the École normale supérieure from 1971 to 1975 and completed his 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", Transactions of the American Mathematical Society, 345 (1): 115–150, doi:10.2307/2154598, ISSN 0002-9947, JSTOR 2154598, 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 (2008), Ordering braids, Mathematical Surveys and Monographs, vol. 148, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-4431-1, MR 2463428
• Dehornoy, Patrick; Digne, François; Godelle, Eddy; Krammer, Daan; Michel, Jean (2015), Foundations of Garside theory, EMS Tracts in Mathematics, vol. 22, Zürich: European Mathematical Society, ISBN 978-3-03719-139-2, MR 3362691
• Dehornoy, Patrick (2017), "Multifraction reduction (II): conjectures for Artin–Tits groups", Journal of Combinatorial Algebra [fr], 1 (3): 229–287, arXiv:1606.08995, doi:10.4171/JCA/1-3-1, ISSN 2415-6302, MR 3681576, S2CID 119604700

References

External links

• "Home page of Patrick Dehornoy".

This page was last edited on 12 October 2023, at 18:18