Patrick Dehornoy

Patrick Dehornoy's AcademicInfluence.com Rankings

Patrick Dehornoy

Mathematics

#3329

World Rank

#4935

Historical Rank

Group Theory

#42

World Rank

#54

Historical Rank

Algebra

#147

World Rank

#233

Historical Rank

Measure Theory

#3357

World Rank

#3965

Historical Rank

mathematics Degrees

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Mathematics

Why Is Patrick Dehornoy Influential?

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According to Wikipedia, Patrick Dehornoy 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. He graduated from the Lycée Pierre-Corneille in 1971. 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.

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Patrick Dehornoy's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Gaussian Groups and Garside Groups, Two Generalisations of Artin Groups (1999) (288)
Braid groups and left distributive operations (1994) (204)
Braids and self-distributivity (2000) (189)
A Fast Method for Comparing Braids (1997) (142)
Foundations of Garside Theory (2013) (129)
Why are braids orderable (2002) (96)
Braid-based cryptography (2004) (92)
Ordering Braids (2008) (89)
The group of parenthesized braids (2004) (71)
Set-theoretic solutions of the Yang–Baxter equation, RC-calculus, and Garside germs (2014) (70)
Complete positive group presentations (2001) (61)
Entity authentication schemes using braid word reduction (2006) (60)
Groups with a complemented presentation (1997) (59)
Geometric presentations for Thompson's groups (2004) (48)
Homology of gaussian groups (2001) (46)
FROM LARGE CARDINALS TO BRAIDS VIA DISTRIBUTIVE ALGEBRA (1995) (45)
Free distributive groupoids (1989) (41)
Alternating normal forms for braids and locally Garside monoids monoids (2007) (38)
Gaussian Groups are Torsion Free (1998) (36)
Using shifted conjugacy in braid-based cryptography (2006) (35)
The Subword Reversing Method (2009) (35)
Efficient solutions to the braid isotopy problem (2007) (32)
The structure group for the associativity identity (1996) (29)
Iterated ultrapowers and prikry forcing (1978) (28)
On the rotation distance between binary trees (2009) (27)
Garside families and Garside germs (2012) (27)
Garside families in Artin–Tits monoids and low elements in Coxeter groups (2014) (21)
Combinatorics of normal sequences of braids (2005) (20)
Foundations of Garside theory (EMS Tracts in Mathematics 22) (2015) (18)
STRUCTURAL MONOIDS ASSOCIATED TO EQUATIONAL VARIETIES (1993) (18)
Φ11-complete Families of Elementary Sequences (1988) (16)
On completeness of word reversing (2000) (15)
Monoids of O-type, subword reversing, and ordered groups (2012) (14)
The adjoint representation of left distributive structures (1992) (14)
On the distance between the expressions of a permutation (2009) (14)
Elementary Embeddings and Algebra (2010) (14)
Unprovability results involving braids (2007) (13)
Multifraction reduction i: The 3-ore case and artin-tits groups of type fc (2016) (12)
STRANGE QUESTIONS ABOUT BRAIDS (1999) (12)
Thin groups of fractions (2001) (12)
Two- and three-cocycles for Laver tables (2014) (12)
The group of fractions of a torsion free lcm monoid is torsion free (2003) (11)
Infinite products in monoids (1986) (11)
A Normal Form for the Free Left Distributive Law (1994) (11)
Algebraic properties of the shift mapping (1989) (10)
Study of an identity (2001) (9)
Three‐Dimensional Realizations of Braids (1999) (9)
Quadratic normalization in monoids (2015) (9)
Coxeter-like groups for set-theoretic solutions of the Yang–Baxter equation (2013) (8)
Multifraction reduction III: The case of interval monoids (2016) (8)
On Word Reversing in Braid Groups (2004) (8)
A conjecture about Artin-Tits groups (2011) (8)
Left-Garside categories, self-distributivity, and braids (2008) (8)
Coxeter-like groups for groups of set-theoretic solutions of the Yang--Baxter equation (2013) (8)
Algorithms for Garside calculus (2013) (8)
Transfinite braids and left distributive operations (1998) (7)
Multifraction reduction IV: Padding and Artin–Tits monoids of sufficiently large type (2017) (7)
Multifraction reduction II: Conjectures for Artin-Tits groups (2016) (7)
The Fine Structure of LD-Equivalence (2000) (7)
Laver’s results and low-dimensional topology (2014) (7)
A cancellativity criterion for presented monoids (2018) (7)
Weak faithfulness properties for the Burau representation (1996) (7)
Turing Complexity of the Ordinals (1986) (6)
FREE AUGMENTED LD-SYSTEMS (2005) (6)
Still another approach to the braid ordering (2005) (6)
Dual braid monoids (2008) (6)
Construction of Self-Distributive Operations and Charged Braids (2000) (5)
On the syntactic algorithm for the word problem of left distributivity (1997) (5)
Tamari Lattices and the Symmetric Thompson Monoid (2011) (5)
The geometry monoid of left self-distributivity (2001) (5)
Garside and Quadratic Normalisation: A Survey (2015) (5)
Quadratic normalisation in monoids (2016) (5)
Another Use of Set Theory (1996) (5)
An Alternative Proof of Laver’s Results on the Algebra Generated by an Elementary Embedding (1992) (4)
Using groups for investigating rewrite systems (2006) (4)
RECENT PROGRESS ON THE CONTINUUM HYPOTHESIS (AFTER WOODIN) (2003) (4)
Some aspects of the SD-world (2017) (4)
Word problems in free sheaves. (1992) (4)
Dual Garside structure of braids and free cumulants of products (2014) (3)
A canonical ordering for free self-distributive systems (1994) (3)
BRAID ORDER, SETS, AND KNOTS (2011) (2)
An application of ultrapowers to changing cofinality (1983) (2)
The braid shelf (2017) (2)
CONVERGENCE OF HANDLE REDUCTION OF BRAIDS (2007) (2)
A linear ordering of braids (2008) (2)
Garside combinatorics for Thompson’s monoid $F^+$ and a hybrid with the braid monoid $B_{\infty }^{+}$ (2018) (1)
Automorphisms of a free group (2008) (1)
The Naming Problem for Left Distributivity (1991) (1)
Addenda to "Foundations of Garside Theory" (2014) (1)
Geometric presentations for Thompson's groups and the multiscaled braid group (2004) (1)
A CONJECTURE ABOUT CONJUGACY IN FREE GROUPS (2003) (1)
PhilMath Intersem 2012 Complexities of Proof : Varieties , Effects & Management June 6 – June 26 , 2012 (0)
Braids in trivial braid diagrams (2003) (0)
Commentationes Mathematicae Universitatis Carolinae (2012) (0)
The group of self-distributivity is bi-orderable (2001) (0)
Title A NEW DISTINGUISHED FORM FOR 3-BRAIDS (0)
A coding of the countable linear orderings (1990) (0)
Theorem Proving by Chain Resolution (1998) (0)
Bilan des primes d'excellence scientifique (PES) CNRS 2011 (2011) (0)
The Braid Order (2000) (0)
More about the Laver Tables (2000) (0)
Laver’s results and low-dimensional topology (2015) (0)
Extending the Hurwitz action to shelves that are not racks (Intelligence of Low-dimensional Topology) (2015) (0)
LECTURE NOTES ON ARTIN-TITS GROUPS (2004) (0)
Clermont-Ferrand, France, July 21–30, 1994 (1995) (0)
Disks in trivial braid diagrams (2004) (0)
Applications of the braid ordering (2008) (0)
Open questions and extensions (2008) (0)
A cancellativity criterion for presented monoids (2018) (0)
More LD-Systems (2000) (0)
The space of all braid orderings (2008) (0)
Connection with the Garside structure (2008) (0)
Braids vs. Self-Distributive Systems (2000) (0)
DIAGRAMS COLOURINGS AND APPLICATIONS (2004) (0)
ACTION OF BRAIDS ON SELF-DISTRIBUTIVE SYSTEMS (1999) (0)
An associative operation on monogenic left distributive systems (1995) (0)
Addendum to "Gaussian groups are torsion free" (2003) (0)
Contemporary Mathematics THIN GROUPS OF FRACTIONS (2002) (0)
Free zeropotent left distributive systems (1998) (0)
The Geometry Monoid (2000) (0)
Bi-ordering the pure braid groups (2008) (0)
A Criterion for Proving Noetherianity of a Relation (1992) (0)
Iwc 2013 2nd International Workshop on Confluence Program Committee Three Termination Problems Confluence and Infinity -a Kaleidoscopic View Disproving Confluence of Term Rewriting Systems by Interpretation and Ordering (extended Abstract) (2013) (0)
The Calculus of Braids (2021) (0)
Orders on Free LD-systems (2000) (0)
The Group of Left Self-Distributivity (2000) (0)
BIRS workshop on braid groups and applications (0)
Combinatorial distance between braid words (2009) (0)
The Dynnikov Coordinates (2021) (0)
The Order on Positive Braids (2000) (0)
About the irreflexivity hypothesis for free left distributive magmas (1993) (0)

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Paris Diderot University

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