Vincent FLORENS                                                                                            

Geometric Topology, Knot  Theory, Plane Algebraic Curves

Equipe ALGEBRE et GEOMETRIE

LABORATOIRE DE MATHÉMATIQUES ET DE LEURS APPLICATIONS - PAU, UMR CNRS 5142
Bâtiment IPRA - Université de Pau e
t des Pays de l'Adour
Avenue de l'Université - BP 115
5
64013 PAU CEDEX

Bureau : 224 - Tél  : +33 (0)5 59 40 75 17 - Fax : +33 (0)5 59 40 75 55
Courriel : vincent.florens (at) univ-pau.fr

ANR Project:

I am the coordinator of the ANR Jeunes Chercheurs Project INTERLOW  JCJC-0097-01. See the strarting conference, Braids in Pau.


Organisation:

. WinterBraids: Annual school/conference on Low Dimensional Topology, Knot theory and Braid groups.
                         WinterBraid 1, in Pau.
                         WinterBraid 2, in Caen.
                       
Career:

2008- Maitre de Conférences, Université de Pau
2006-2008 Maitre-Assistant, Universite de Genève
2005-2006 Assistant, Universitat Zurich
2004-2005 Postdoctoral Fellow Marie-Curie, Unversidad de Zaragoza (Spain)
2003-2004 Collaborateur FNRS, Université Libre de Bruxelles
2002-2003 ATER Université L.Pasteur, Strasbourg
2001-2002 ATER Université Bretagne Sud, Vannes
Dec 2001: PHD Thesis, Murasugi-Tristram Inequalitites for Generalized Signatures of links, Advisors: T.Fiedler and S.Orevkov
Publications:

. Braids in Pau- An Introduction (with E.Artal)
   Annales Mathématiques B.Pascal 18, 1-14 (2011)
. Twisted Alexander polynomial of plane algebraic curves (with J.I.Cogolludo)
  Journal of London Math. Society (2007) Vol. 76 Part 1, p105-121
. Generalized Seifert surfaces and signature of colored links (with D.Cimasoni)
  Transaction of the A.M.S
. Signatures of colored links with an application to real algebraic curves
  Journal of Knot Theory and its Ramifications (2005) 14 , no. 7, p883-918
. On the Fox-Milnor theorem for the Alexander polynomial of links
  International Mathematics Research Notices (2004) 2, p55-67
. On the slice genus of links (avec P.Gilmer)
  Algebraic and Geometric Topology (2003) 3, p905-920. 

Work in Progress:

  Functors for Alexander polynomials 

. The Alexander representation of tangles (with S.Bigelow and A.Cattabriga)   Preprint
. A functorial version for the Alexander polynomial of 3-manifolds (with G.Massuyeau)  In preparation

  Concordance and Signatures of Links

. Twisted signatures of links (with D.Matei) In preparation
. Signatures of iterated torus links (with A.Lecuona) In preparation
. Slice links in S3 (with A.Lecuona) In preparation


Related to this work, I gave a lecture in Caen.

  PHD Students
 I am co-advisors of the PHD students (in cotutelle with University of Zaragoza, Spain)

   Jorge Ortigas
   Benoit Guerville
   Juan Viu

Teaching: