Professeur émérite de mathématiques à l'université de Caen / Professor emeritus of mathematics
Membre de l'Institut Universitaire de France
Membre associé / Associate member
E-mail professionnel : patrick [dot] dehornoy [at] unicaen [dot] fr
E-mail personnel : patrick [dot] dehornoy [at] gmail [dot] com
Sélection de travaux / Selected works
- Théorie axiomatique des ensembles / Axiomatic Set Theory:
- Algèbre autodistributive / Selfdistributive algebra:
- Groupes de tresses et leurs ordres / Braid groups and their orderings:
- Monoïdes de Garside et extensions / Garside monoids and extensions:
- (with L. Paris) Gaussian groups and Garside groups, two generalizations of Artin groups, Proc. London Math. Soc. 79 (1999) 569-604
- Groupes de Garside, Ann. Scient. Ec. Norm. Sup. 35 (2002) 267-306
- The subword reversing method, Intern. J. Alg. and Comput. 21 (2011) 71-118
- Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs, Adv. in Math. 282 (2015) 93-127
- (with F. Digne, E. Godelle, D. Krammer, J. Michel) Foundations of Garside Theory, EMS Tracts in Mathematics, vol. 22 (2015)
- Groupes d'Artin-Tits généraux / General Artin-Tits groups:
Universal van Kampen diagrams: for every word with n-1 sign changes that represents 1 in an Artin-Tits group of type FC (conjecturally of any type), there exists a van Kampen diagram with arrows as prescribed by the graph Γn, see arXiv 1606.08991.