John Crisp’s Home Page
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Address : Institut de Mathematiques de Bourgogne (IMB) Université de Bourgogne, B.P. 47 870 21078 Telephone
: (+33) 3 80
39 90 69 Fax
: (+33) 3 80
39 58 99 E-mail
: jcrisp(at)u-bourgogne.fr
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I am a
member of the Algebra,
Geometry and Topology (AGT) research group, one of four research groups
which form the Institut
de Mathématiques de Bourgogne (I.M.B).
I am
currently organiser of the AGT research group seminar: Séminaire AGT
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Research Interests
My
interests are combinatorial and geometric group theory. A strong interest of
mine is in studying the structure of Artin groups, or
generalised braid groups. These are fundamental groups of complexified
reflection hyperplane complements, and so closely
related to Coxeter (or real reflection) groups. These
groups have some very attractive properties, but there are many interesting and
difficult unanswered questions. For instance, there is no known solution to the
word or conjugacy problems for a general Artin group. Another theme of my research is in studying
actions of groups on CAT(0) spaces (spaces of global non-positive curvature).
Other topics of general interest to me include actions on treelike structures,
hyperbolic groups, mapping class groups, surface and 3-manifold topology,
knots, links and again in this context braid groups.
Mathematics
Images on this page: A
number of mathematical images, figures, doodles, etc… appear on this
page. (Hopefully, more will appear as time goes by). Explanations of the
mathematical content can be obtained by clicking on the image. A list of these images may also be consulted.
Research
Project : ACI Jeunes
Chercheurs JC1041
I am
responsible for the coordination of a collaborative research project "Structures
géométriques en théorie
des groupes et topologie"
which is funded by the French Ministry for Research. The project is designed to
bring together a number of young researchers based in France and working in the
closely related areas of group theory and low-dimensional topology. More
details can be found on the ACI JC1041 homepage.
The first
conference meeting of this ACI research group was held on 1 June – 3
June 2005.
Click on Rencontre ACI JC1041 to see a programme of talks
which took place, together with abstracts.
Le projet de recherche "Structures géométriques en théorie des groupes et topologie" a reçu le soutien du Ministère délégué à la recherche en obtenant en 2004 une ACI "jeunes chercheurs". Le projet réunit onze chercheurs et enseignants-chercheurs en France. La première rencontre de ce projet ACI a eu lieu à Dijon du 1 au 3 juin 2005.
Cliquez sur Rencontre ACI JC1041 pour accéder à un programme avec des résumés des exposés.