Patrick Dehornoy
Patrick Dehornoy | |
|---|---|
 Dehornoy in 2013 | |
| Born | 11 September 1952 |
| Died | 4 September 2019 (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 (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 (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 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, 1 (3): 229–287, arXiv:1606.08995, doi:10.4171/JCA/1-3-1, ISSN 2415-6302, MR 3681576, S2CID 119604700
References
- ^ a b c d e f g h i j "CV, tâches d'animation de la recherche". Centre national de la recherche scientifique (in French). Archived from the original on 31 December 2020. Retrieved 31 December 2020.
- ^ Patrick Dehornoy at the Mathematics Genealogy Project
- ^ a b "Décès de Patrick Dehornoy | Société Mathématique de France". smf.emath.fr. Retrieved 31 December 2020.
- ^ 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 (10 February 1997). "A Fast Method for Comparing Braids". Advances in Mathematics. 125 (2): 200–235. doi:10.1006/aima.1997.1605.
