CURRICULUM VITAE – JOHN
CRISP
Name, first name: CRISP John
Nationality: Australian
Date of birth:
Marital status: Married
Languages practised: English, French
Current position: Chargé
de Recherche (CR1) with the
CNRS, France
Attachment: IMB,
UMR 5584 du CNRS.
Professional address:
Institut
de Mathématiques de Bourgogne (IMB)
UFR
Sciences et Techniques, Université de Bourgogne
9,
avenue Alain Savary, B. P. 47 870
21078
Dijon ‑ CEDEX ‑ France
Telephone: 03 80 39 68 77
Fax: 03 80 39
58 99
Email
address: jcrisp@u‑bourgogne.fr
Web page: http://math.u-bourgogne.fr/IMB/crisp/index.html
Feb. 1986 – Dec. 1989 : Bachelor of Engineering (Electrical)
« Honours Class I », University of
Feb. 1991 – Dec. 1993 : Bachelor of Science « Honours
Class I » and University Medal,
3-Manifolds
with Cyclic Fundamental Groups Obtained by Surgery on Knots
February 1994 – October 1997 : PhD in pure
mathematics,
Three
Topics in Topology and Group Theory
Supervisor: Jonathan A. Hillman
Referees: Walter
D. Neumann (
G. Peter Scott (
Nov. 1997 – Dec. 1998 : EPSRC Research Assistantship, Faculty of Mathematical
Studies,
Jan. 1999 – Aug. 1999 : Temporary Lecturer,
Sept. 1999 – Sept. 2000 : Postdoctoral grant from the Conseil
Régional de Bourgogne for a one year stay at the Laboratoire de Topologie,
Sept. 2000 – Feb. 2001 : Chercheur Associé au CNRS (CRA) – a
six month position at the Laboratoire de Topologie, University of Burgundy.
March 2001 – Aug. 2001 : Chercheur Associé au CNRS
(CRA) – a six month position at the Ecole Normale Supérieure (ENS), Lyon.
Since Oct. 2001 : Chargé de recherche CR1 with the CNRS, attached to the Institut de
Mathématiques de Bourgogne (ex Laboratoire de Topologie, UMR 5584 du CNRS). This is a junior full-time research position. My
« titularisation » (equivalent of tenure)
was accorded in September 2002.
Geometric and combinatorial group theory:
Artin groups, braid and mapping class groups, hyperbolic groups and spaces of
non-positive curvature (CAT(0) spaces) and the isometry groups of these spaces and their subgroups.
Low-dimensional
topology.
[15] Automorphisms
and abstract commensurators of 2-dimensional Artin groups, Geometry and Topology, 9 (2005)
1381—1441.
[14] (with R. Charney)
Automorphism groups of some affine and finite type Artin groups, Math. Res. Letters, 12 (2005) 321—333.
[13] (with L. Paoluzzi)
On the classification of CAT(0) structures for the 4-string braid group,
[12] (with L. Paris) Artin groups
of type B and D, Advances in Geometry, 5 (2005), 607—636
[11] (with L. Paris)
Representations of the braid group by automorphisms
of groups, invariants of links, and Garside groups, Pacific J. Math. to appear (2005)
[10] (with B. Wiest)
Embeddings of graph braid and surface groups in right-angled Artin groups and braid groups, Algebr.
Geom. Topol. 4 (2004) 439—472
[9] On the CAT(0) dimension of Bestvina-Brady groups,
Algebr. Geom. Topol. 2 (2002), 923—936
[8] (with Noel Brady)
Two-dimensional Artin groups with CAT(0) dimension
three, Geometriae Dedicata 94 (2002), 185—214.
[7] (with Marcelo Laca) On the Toeplitz algebras of
right-angled and finite-type Artin groups, J. Australian Math. Soc. 72 (2002), 223—245
[6] (with B. H. Bowditch)
Archimedean actions on median pretrees, Math. Proc. Camb. Philos. Soc. 130 (2001), 383—400
[5] (with Luis Paris) The solution to a
conjecture of Tits on the subgroup generated by the squares of the generators
of an Artin group,
Invent. Math.
145 (2001), 19—36
[4] The decomposition of 3-dimensional Poincaré
complexes, Comment. Math.
Helv. 75 (2000), 232—246
[3] Symmetrical
subgroups of Artin groups, Adv. Math. 152 (2000),
159—177
[2] Injective maps between Artin
groups, dans ``Geometric Group Theory Down Under, Proceedings
of a Special Year in Geometric Group Theory, Canberra, Australia, 1996'', ed. J. Cossey, et al., de Gruyter
Verlag, 1999, pp 119--137
[1] (with J. A. Hillman) Embedding Seifert
fibred 3-manifolds and Sol^3-manifolds in 4-space, Proc. London Math. Soc. (3) 76 (1998),
685—710
[0] Three Topics in
Topology and Group Theory, Ph.D thesis,
Abstract
published:
Three topics in topology and group theory,
Bull. Austral. Math. Soc. 58
(1998), 349—351
● (with N. Brady) On dimensions of CAT(0) and CAT(-1) complexes with the same hyperbolic group
action, preprint, 2000
● (with B. Wiest)
Quasi-isometrically embedded subgroups of braid and diffeomorphism groups, IMB preprint no. 431, June 2005.
● (with N. Brady) CAT(0)
and CAT(-1) dimensions of torsion free hyperbolic groups, CRM preprint num. 616, February 2005.
● An algebraic loop theorem and the decomposition of
PD3-pairs, IMB preprint no. 420,
April 2005.
● (with M. Laca)
Boundary quotients and ideal structure of Toeplitz
C*-algebras, preprint, 2005.
● Braids, Links and Mapping Class Groups, in
Honour of Joan Birman, NY, 17 – 20 March 2005.
Title : Quasi-isometric
embeddings in the pure braid group
● Coxeter and Artin Groups,
Title : Automorphisms and abstract commensurators
of Artin groups
● Conference on Geometric
Group theory,
Title : Automorphisms and abstract commensurators
of 2-dimensional Artin groups
● Joint AMS-SMF Meeting,
ENS Lyon, 17 – 20 July 2001.
Title : Negatively curved metrics and an aspherical 2-complex
● Int’l Conference on Geometric and
Combinatorial Group Theory,
Title : The Tits Conjecture for Artin
Groups, Solved
● London-Sussex-Southampton Topology
Meeting, King's College,
Title : Embedding 3-manifolds
in 4-space
● International Conference on Geometric
Group Theory,
Title : Injective maps between Artin groups
● Rencontre ACI :
Structures Géométriques en Groupes et Topologie, Dijon, 3 – 6 June 2005
Title : Présentation du projet ACI et quelques nouvelles directions
● Groupes de tresses,
invariants quantiques et variétés de dimension 3, Luminy,
6 – 10 June 2005
Title : Plongements des groupes dans les groupes de tresses pures
● Tresses et arrangements
d'hyperplans, Montdidier, University of Picardie,
septembre 2002.
Title : Artin groups of type B and D
● Groupes et Géométries –
Marseille 2002 (rencontres) 15 – 16 February 2002.
Title : Non-positive curvature and
2-complexes
● Journées Amiénoises sur les
Tresses, University of Picardy,
Amiens, 8 – 10 October 1998.
Title : Symmetrical subgroups of
generalised braid groups
●
50th British Mathematics Colloquium,
Title : Symmetries of Artin Groups and their Deligne
complexes
● Séminaire de Mathématiques
Pures, ENS Lyon, 27 April 2005
Title : Plongements de groupes dans les groupes de
tresses et de difféomorphismes
●
Pure Mathematics Seminar,
●
Geometry Seminar,
●
Mathematics Seminar,
Title : Automorphisms of 2-dimensional Artin
groups
●
Mathematics Seminar,
Title : Non-positive curvature and hyperbolic groups
● Seminaire Groupes et Perspectives,
Paris 7, 13 December 2004
Title : Groupes de Garside – aspects
topologiques et géométriques
● Seminaire de Géométrie Analytique,
IRMAR Rennes, 25 November 2004
Title : Automorphismes des groupes d’Artin
● Seminaire d’Algèbre,
Title : Structures de Garside pour les groupes
d’Artin de type non-sphérique
●
Joint Colloquium,
Title : Automorphisms
of Artin groups
●
Mathematics Seminar,
Title :
Notions of curvature for 2-dimensional groups –
Title : Automorphism groups of Artin
groups –
●
Pure Mathematics Seminar,
Title : Artin
groups of type B and D
●
●
●
Title : Putting metrics on aspherical
2-complexes
● Marseille-III,
● Rennes, 18 January 2001
Title : La conjecture de Tits
sur les groupes d'Artin
●
Geometric Group Theory Seminar,
Title : About the CAT(0) dimension of a group
● ENS Lyon,
Title : La conjecture de Tits
sur les groupes d'Artin
● Séminaire Générale, University of Bourgogne, 2 February
2000.
Title : Plongement des 3-variétés dans l'espace de dimension 4
●
Joint Colloquium,
●
●
Title : The effect of curvature
constraints on the dimension of a polyhedral complex with hyperbolic group
action
● Séminaire, University of Marseille, 12 October
1998
Title : Symmetrical subgroups of generalised braid groups
●
Liverpool University, UK, 12 June 1998
Title : Embedding 3-manifolds
in 4-space
●
Title : Coxeter groups and Artin groups – une série de 10 exposées
●
Title :The Decomposition of
3-dimensional Poincaré Complexes